Tag Archives: Maxwell’s demon

Graphic novels for teaching math, physics, and more

I’m going to start with the fun, i.e., “Max the Demon Vs Entropy of Doom”,

Found on Assa Auerbach @AssaAuerbach·Twitter feed: 6:57 AM · Feb 17, 2018 [downloaded from: https://theconversation.com/3-reasons-we-use-graphic-novels-to-teach-math-and-physics-211171]

Engaging introduction to James Clerk Maxwell’s and his thought experiment concerning entropy, “Maxwell’s demon.”

It’s one of the points that Sarah Klanderman and Josha Ho (both from Marian University; Indiana, US) make in their co-authored August 17, 2023 essay (on The Conversation) about using graphic novels to teach STEM (science, technology, engineering, and mathematics) topics in the classroom, Note: Links have been removed,

Graphic novels – offering visual information married with text – provide a means to engage students without losing all of the rigor of textbooks. As two educators in math and physics, we have found graphic novels to be effective at teaching students of all ability levels. We’ve used graphic novels in our own classes, and we’ve also inspired and encouraged other teachers to use them. And we’re not alone: Other teachers are rejuvenating this analog medium with a high level of success.

In addition to covering a wide range of topics and audiences, graphic novels can explain tough topics without alienating student averse to STEM – science, technology, engineering and math. Even for students who already like math and physics, graphic novels provide a way to dive into topics beyond what is possible in a time-constrained class. In our book “Using Graphic Novels in the STEM Classroom,” we discuss the many reasons why graphic novels have a unique place in math and physics education. …

Klanderman and Ho share some information that was new to me, from the August 17, 2023 essay, Note: Links have been removed,

Increasingly, schools are moving away from textbooks, even though studies show that students learn better using print rather than digital formats [emphasis mine]. Graphic novels offer the best of both worlds: a hybrid between modern and traditional media.

This integration of text with images and diagrams is especially useful in STEM disciplines that require quantitative reading and data analysis skills, like math and physics.

For example, our collaborator Jason Ho, an assistant professor at Dordt University, uses “Max the Demon Vs Entropy of Doom” to teach his physics students about entropy. This topic can be particularly difficult for students because it’s one of the first times when they can’t physically touch something in physics. Instead, students have to rely on math and diagrams to fill in their knowledge.

Rather than stressing over equations, Ho’s students focus on understanding the subject more conceptually. This approach helps build their intuition before diving into the algebra. They get a feeling for the fundamentals before they have to worry about equations.

After having taken Ho’s class, more than 85% of his students agreed that they would recommend using graphic novels in STEM classes, and 90% found this particular use of “Max the Demon” helpful for their learning. When strategically used, graphic novels can create a dynamic, engaging teaching environment even with nuanced, quantitative topics.

I encourage you to read the essay in its entirety if you have the time and the interest.

Here’s a link to the publisher’s website, a citation for and description of the book along with a Table of Contents, Note: it seems to be available in the UK only,

Using Graphic Novels in the STEM Classroom by William Boerman-Cornell, Josha Ho, David Klanderman, Sarah Klanderman. Published: 30 Nov 2023 Format: Paperback Edition: 1st Extent: 168 [pp?] ISBN: 9781350279186 Imprint: Bloomsbury Academic Illustrations: 5 bw illus. Dimensions: 234 x 156 mm Publisher: Bloomsbury Publishing Pre-order. Available 30 Nov 2023

Description

This book provides everything STEM teachers need to use graphic novels in order to engage students, explain difficult concepts, and enrich learning. Drawing upon the latest educational research and over 60 years of combined teaching experience, the authors describe the multimodal affordances and constraints of each element of the STEM curriculum. Useful for new and seasoned teachers alike, the chapters provide practical guidance for teaching with graphic novels, with a section each for Science, Technology, Engineering, and Mathematics. An appendix provides nearly 100 short reviews of graphic novels arranged by topic, such as cryptography, evolution, computer coding, skyscraper design, nuclear physics, auto repair, meteorology, and human physiology, allowing the teacher to find multiple graphic novels to enhance almost any unit. These include graphic novel biographies of Stephen Hawking, Jane Goodall, Alan Turing, Rosalind Franklin, as well as popular titles such as T-Minus by Jim Ottaviani, Brooke Gladstone’s The Influencing Machine, Theodoris Andropoulos’s Who Killed Professor X, and Gene [Luen] Yang’s Secret Coders series.

Table of Contents

List of Figures
Foreword, Jay Hosler
Acknowledgements
1. What Research Tells us about Teaching Science, Technology, Engineering, and Mathematics with Graphic Novels
2. Teaching Life Science and Earth Science with Graphic Novels
3. Teaching Physical Science with Graphic Novels
4. Teaching Technology with Graphic Novels
5. Using Graphic Novels to Teach Engineering
6. Teaching Mathematics with Graphic Novels
7. Unanswered Questions and Concluding Thoughts
Appendix: List of STEM Graphic Novels
References
Notes
Index

Finally, h/t August 20, 2023 news item on phys.org

Modernizing ‘Maxwell’s demon’ for a quantum computing feat

Maxwell is James Clerk Maxwell, a Scottish mathematician and scientist, considered a genius for his work on electromagnetism. His ‘demon’ is a thought experiment that has influenced research for over 150 years as this November 29, 2022 news item on ScienceDaily makes clear,

A team of quantum engineers at UNSW [University of New South Wales] Sydney has developed a method to reset a quantum computer — that is, to prepare a quantum bit in the ‘0’ state — with very high confidence, as needed for reliable quantum computations. The method is surprisingly simple: it is related to the old concept of ‘Maxwell’s demon’, an omniscient being that can separate a gas into hot and cold by watching the speed of the individual molecules.

A November 30, 2022 UNSW press release (also on EurekAlert but published on November 29, 2022), which originated the news item, modernizes the demon,

“Here we used a much more modern ‘demon’ – a fast digital voltmeter – to watch the temperature of an electron drawn at random from a warm pool of electrons. In doing so, we made it much colder than the pool it came from, and this corresponds to a high certainty of it being in the ‘0’ computational state,” says Professor Andrea Morello of UNSW, who led the team.

“Quantum computers are only useful if they can reach the final result with very low probability of errors. And one can have near-perfect quantum operations, but if the calculation started from the wrong code, the final result will be wrong too. Our digital ‘Maxwell’s demon’ gives us a 20x improvement in how accurately we can set the start of the computation.”

The research was published in Physical Review X, a journal published by the American Physical Society.

Watching an electron to make it colder

Prof. Morello’s team has pioneered the use of electron spins in silicon to encode and manipulate quantum information, and demonstrated record-high fidelity – that is, very low probability of errors – in performing quantum operations. The last remaining hurdle for efficient quantum computations with electrons was the fidelity of preparing the electron in a known state as the starting point of the calculation.

“The normal way to prepare the quantum state of an electron is go to extremely low temperatures, close to absolute zero, and hope that the electrons all relax to the low-energy ‘0’ state,” explains Dr Mark Johnson, the lead experimental author on the paper. “Unfortunately, even using the most powerful refrigerators, we still had a 20 per cent chance of preparing the electron in the ‘1’ state by mistake. That was not acceptable, we had to do better than that.”

Dr Johnson, a UNSW graduate in Electrical Engineering, decided to use a very fast digital measurement instrument to ‘watch’ the state of the electron, and use real-time decision-making processor within the instrument to decide whether to keep that electron and use it for further computations. The effect of this process was to reduce the probability of error from 20 per cent to 1 per cent.

A new spin on an old idea

“When we started writing up our results and thought about how best to explain them, we realized that what we had done was a modern twist on the old idea of the ‘Maxwell’s demon’,” Prof. Morello says.

The concept of ‘Maxwell’s demon’ dates back to 1867, when James Clerk Maxwell imagined a creature with the capacity to know the velocity of each individual molecule in a gas. He would take a box full of gas, with a dividing wall in the middle, and a door that can be opened and closed quickly. With his knowledge of each molecule’s speed, the demon can open the door to let the slow (cold) molecules pile up on one side, and the fast (hot) ones on the other.

“The demon was a thought experiment, to debate the possibility of violating the second law of thermodynamics, but of course no such demon ever existed,” Prof. Morello says.

“Now, using fast digital electronics, we have in some sense created one. We tasked him with the job of watching just one electron, and making sure it’s as cold as it can be. Here, ‘cold’ translates directly in it being in the ‘0’ state of the quantum computer we want to build and operate.”

The implications of this result are very important for the viability of quantum computers. Such a machine can be built with the ability to tolerate some errors, but only if they are sufficiently rare. The typical threshold for error tolerance is around 1 per cent. This applies to all errors, including preparation, operation, and readout of the final result.

This electronic version of a ‘Maxwell’s demon’ allowed the UNSW team to reduce the preparation errors twenty-fold, from 20 per cent to 1 per cent.

“Just by using a modern electronic instrument, with no additional complexity in the quantum hardware layer, we’ve been able to prepare our electron quantum bits within good enough accuracy to permit a reliable subsequent computation,” Dr Johnson says.

“This is an important result for the future of quantum computing. And it’s quite peculiar that it also represents the embodiment of an idea from 150 years ago!”

Hat’s off to whoever prepared the opening sequences for this informative and entertaining video from UNSW,

Here’s a link to and a citation for the paper,

Beating the Thermal Limit of Qubit Initialization with a Bayesian Maxwell’s Demon by Mark A. I. Johnson, Mateusz T. Mądzik, Fay E. Hudson, Kohei M. Itoh, Alexander M. Jakob, David N. Jamieson, Andrew Dzurak, and Andrea Morello. Phys. Rev. X 12, 041008 Vol. 12, Iss. 4: October – December 2022 Published 25 October 2022

This paper is open access.

For years, James Clerk Maxwell’s role as a poet has fascinated me. Yes, a physicist who wrote poetry about physics and other matters as noted in my April 24, 2019 (The poetry of physics from Canada’s Perimeter Institute) where you’ll find poems by various physicists including the aforementioned Maxwell, as well as, a link to the original Perimeter Institute for Theoretical Physics (PI) posting featuring the excerpted poems even more physics poems.

Quantum back action and devil’s play

I always appreciate a reference to James Clerk Maxwell’s demon thought experiment (you can find out about it in the Maxwell’s demon Wikipedia entry). This time it comes from physicist  Kater Murch in a July 23, 2018 Washington University in St. Louis (WUSTL) news release (published July 25, 2018 on EurekAlert) written by Brandie Jefferson (offering a good explanation of the thought experiment and more),

Thermodynamics is one of the most human of scientific enterprises, according to Kater Murch, associate professor of physics in Arts & Sciences at Washington University in St. Louis.

“It has to do with our fascination of fire and our laziness,” he said. “How can we get fire” — or heat — “to do work for us?”

Now, Murch and colleagues have taken that most human enterprise down to the intangible quantum scale — that of ultra low temperatures and microscopic systems — and discovered that, as in the macroscopic world, it is possible to use information to extract work.

There is a catch, though: Some information may be lost in the process.

“We’ve experimentally confirmed the connection between information in the classical case and the quantum case,” Murch said, “and we’re seeing this new effect of information loss.”

The results were published in the July 20 [2018] issue of Physical Review Letters.

The international team included Eric Lutz of the University of Stuttgart; J. J. Alonzo of the University of Erlangen-Nuremberg; Alessandro Romito of Lancaster University; and Mahdi Naghiloo, a Washington University graduate research assistant in physics.

That we can get energy from information on a macroscopic scale was most famously illustrated in a thought experiment known as Maxwell’s Demon. [emphasis mine] The “demon” presides over a box filled with molecules. The box is divided in half by a wall with a door. If the demon knows the speed and direction of all of the molecules, it can open the door when a fast-moving molecule is moving from the left half of the box to the right side, allowing it to pass. It can do the same for slow particles moving in the opposite direction, opening the door when a slow-moving molecule is approaching from the right, headed left. ­

After a while, all of the quickly-moving molecules are on the right side of the box. Faster motion corresponds to higher temperature. In this way, the demon has created a temperature imbalance, where one side of the box is hotter. That temperature imbalance can be turned into work — to push on a piston as in a steam engine, for instance. At first the thought experiment seemed to show that it was possible create a temperature difference without doing any work, and since temperature differences allow you to extract work, one could build a perpetual motion machine — a violation of the second law of thermodynamics.

“Eventually, scientists realized that there’s something about the information that the demon has about the molecules,” Murch said. “It has a physical quality like heat and work and energy.”

His team wanted to know if it would be possible to use information to extract work in this way on a quantum scale, too, but not by sorting fast and slow molecules. If a particle is in an excited state, they could extract work by moving it to a ground state. (If it was in a ground state, they wouldn’t do anything and wouldn’t expend any work).

But they wanted to know what would happen if the quantum particles were in an excited state and a ground state at the same time, analogous to being fast and slow at the same time. In quantum physics, this is known as a superposition.

“Can you get work from information about a superposition of energy states?” Murch asked. “That’s what we wanted to find out.”

There’s a problem, though. On a quantum scale, getting information about particles can be a bit … tricky.

“Every time you measure the system, it changes that system,” Murch said. And if they measured the particle to find out exactly what state it was in, it would revert to one of two states: excited, or ground.

This effect is called quantum backaction. To get around it, when looking at the system, researchers (who were the “demons”) didn’t take a long, hard look at their particle. Instead, they took what was called a “weak observation.” It still influenced the state of the superposition, but not enough to move it all the way to an excited state or a ground state; it was still in a superposition of energy states. This observation was enough, though, to allow the researchers track with fairly high accuracy, exactly what superposition the particle was in — and this is important, because the way the work is extracted from the particle depends on what superposition state it is in.

To get information, even using the weak observation method, the researchers still had to take a peek at the particle, which meant they needed light. So they sent some photons in, and observed the photons that came back.

“But the demon misses some photons,” Murch said. “It only gets about half. The other half are lost.” But — and this is the key — even though the researchers didn’t see the other half of the photons, those photons still interacted with the system, which means they still had an effect on it. The researchers had no way of knowing what that effect was.

They took a weak measurement and got some information, but because of quantum backaction, they might end up knowing less than they did before the measurement. On the balance, that’s negative information.

And that’s weird.

“Do the rules of thermodynamics for a macroscopic, classical world still apply when we talk about quantum superposition?” Murch asked. “We found that yes, they hold, except there’s this weird thing. The information can be negative.

“I think this research highlights how difficult it is to build a quantum computer,” Murch said.

“For a normal computer, it just gets hot and we need to cool it. In the quantum computer you are always at risk of losing information.”

Here’s a link to and a citation for the paper,

Information Gain and Loss for a Quantum Maxwell’s Demon by M. Naghiloo, J. J. Alonso, A. Romito, E. Lutz, and K. W. Murch. Phys. Rev. Lett. 121, 030604 (Vol. 121, Iss. 3 — 20 July 2018) DOI:https://doi.org/10.1103/PhysRevLett.121.030604 Published 17 July 2018

© 2018 American Physical Society

This paper is behind a paywall.

Canada’s Perimeter Institute, graphic novels, physics, and a public webcast

The full name is Perimeter Institute for Theoretical Physics. The abbreviation I’m most familiar with is PI but there’s also Perimeter or PITP according to the institute’s Wikipedia entry. It is the only such institute in the country (as far as I’m aware) and it is very active in science outreach such as their latest foray: Graphic Talk about the Universe: a Clifford V. Johnson public lecture webcast.

A January 16, 2019 posting on the Slice of PI blog (?) announces the webcast,

Physics lends itself to illustration

From da Vinci’s detailed drawings to schematics of a hypothetical zombie cat both alive and dead in a box, illustrations are invaluable tools for those not fluent in the language of equations

But while illustrated textbooks abound, only relatively recently have artists and writers begun exploring physics concepts through the growing genre of graphic novels

These artists (one of whom will deliver a live webcast from Perimeter on Feb. 6!) convey complex ideas not only through illustration, but also narrative creativity, dialogue, action, and humour.

Here are some of our recommendations. Did we miss your favourite? Let us know in the comments.

The Dialogues by Clifford Johnson (MIT Press) is available here.

Max the Demon vs Entropy of Doom by Assa Auerbach and Richard Codor (Loose Line Productions Inc.) is available here


I have two comments about the excerpt from the PI blog: (1) I love the reference to Maxwell’s demon thought experiment in the title for Auerbach’s and Codor’s graphic novel title and (2) Clifford Johnson and his graphic novel were mentioned here in an April 16, 2018 posting.

PI has created a trailer for Johnson’s upcoming webcast,

You can watch the live webcast on February 6, 2019 here (7 pm ET or, for those of us on the West Coast, 4 pm PT). There will be tickets available for anyone who can attend the live lecturre in Waterloo, Ontario. Tickets are available as of Monday, January 21, 2019 at 9 am ET or 6 am PT.

Constructing an autonomous Maxwell’s demon as a self-contained information-powered refrigerator

Aalto University (Finland) was the lead research institution for  INFERNOS, a European Union-funded project concerning Maxwell’s demon. Here’s an excerpt from an Oct. 14, 2013 post featuring the project,

An Oct. 9, 2013 news item on Nanowerk ties together INFERNOS and the ‘demon’,

Maxwell’s Demon is an imaginary creature that the mathematician James Clerk Maxwell created in 1897. The creature could turn heat into work without causing any other change, which violates the second law of thermodynamics. The primary goal of the European project INFERNOS (Information, fluctuations, and energy control in small systems) is to realize experimentally Maxwell’s Demon; in other words, to develop the electronic and biomolecular nanodevices that support this principle.

I like the INFERNOS logo, demon and all,

Logo of the European project INFERNOS (Information, fluctuations, and energy control in small systems).

A Jan. 11, 2016 news item on Nanowerk seems to be highlighting a paper resulting from the INFERNOS project (Note: A link has been removed),

On [a] theoretical level, the thought experiment has been an object of consideration for nearly 150 years, but testing it experimentally has been impossible until the last few years. Making use of nanotechnology, scientists from Aalto University have now succeeded in constructing an autonomous Maxwell’s demon that makes it possible to analyse the microscopic changes in thermodynamics. The research results were recently published in Physical Review Letters (“On-Chip Maxwell’s Demon as an Information-Powered Refrigerator”). The work is part of the forthcoming PhD thesis of MSc Jonne Koski at Aalto University.

An image illustrating the theory underlying the proposed device has been made available,

An autonomous Maxwell's demon. When the demon sees the electron enter the island (1.), it traps the electron with a positive charge (2.). When the electron leaves the island (3.), the demon switches back a negative charge (4.). Image: Jonne Koski.

An autonomous Maxwell’s demon. When the demon sees the electron enter the island (1.), it traps the electron with a positive charge (2.). When the electron leaves the island (3.), the demon switches back a negative charge (4.). Image: Jonne Koski.

A Jan. 11, 2016 Aalto University press release, which originated the news item, provides more technical details,

The system we constructed is a single-electron transistor that is formed by a small metallic island connected to two leads by tunnel junctions made of superconducting materials. The demon connected to the system is also a single-electron transistor that monitors the movement of electrons in the system. When an electron tunnels to the island, the demon traps it with a positive charge. Conversely, when an electron leaves the island, the demon repels it with a negative charge and forces it to move uphill contrary to its potential, which lowers the temperature of the system,’ explains Professor Jukka Pekola.

What makes the demon autonomous or self-contained is that it performs the measurement and feedback operation without outside help. Changes in temperature are indicative of correlation between the demon and the system, or, in simple terms, of how much the demon ‘knows’ about the system. According to Pekola, the research would not have been possible without the Low Temperature Laboratory conditions.

‘We work at extremely low temperatures, so the system is so well isolated that it is possible to register extremely small temperature changes,’ he says.

‘An electronic demon also enables a very large number of repetitions of the measurement and feedback operation in a very short time, whereas those who, elsewhere in the world, used molecules to construct their demons had to contend with not more than a few hundred repetitions.’

The work of the team led by Pekola remains, for the time being, basic research, but in the future, the results obtained may, among other things, pave the way towards reversible computing.

‘As we work with superconducting circuits, it is also possible for us to create qubits of quantum computers. Next, we would like to examine these same phenomena on the quantum level,’ Pekola reveals.

Here’s a link to and a citation for the paper,

On-Chip Maxwell’s Demon as an Information-Powered Refrigerator by J.V. Koski, A. Kutvonen, I.M. Khaymovich, T. Ala-Nissila, and J.P. Pekola. Phys. Rev. Lett. 115, 260602 DOI: http://dx.doi.org/10.1103/PhysRevLett.115.260602 Published 30 December 2015

This paper is behind a paywall.

One final comment, this is the 150th anniversary of Maxwell’s publication of a series of equations explaining the relationships between electric charges and electric and magnetic fields (featured here in a Nov. 27, 2015 posting).

INFERNOS: realizing Maxwell’s Demon

Before getting to the INFERNOS project and its relationship to Maxwell’s demon, I want to share a pretty good example of this ‘demon’ thought experiment which, as recently as Feb. 4, 2013, I featured in a piece about quantum dots,

James Clerk Maxwell, physicist,  has entered the history books for any number reasons but my personal favourite is Maxwell’s demon, a thought experiment he proposed in the 1800s to violate the 2nd law of thermodynamics. Lisa Zyga in her Feb. 1, 2013 article for phys.org provides an explanation,

When you open your door on a cold winter day, the warm air from your home and the cold air from outside begin to mix and evolve toward thermal equilibrium, a state of complete entropy where the temperatures outside and inside are the same. This situation is a rough example of the second law of thermodynamics, which says that entropy in a closed system never decreases. If you could control the air flow in a way that uses a sufficiently small amount of energy, so that the entropy of the system actually decreases overall, you would have a hypothetical mechanism called Maxwell’s demon.

An Oct. 9, 2013 news item on Nanowerk ties together INFERNOS and the ‘demon’,

Maxwell’s Demon is an imaginary creature that the mathematician James Clerk Maxwell created in 1897. The creature could turn heat into work without causing any other change, which violates the second law of thermodynamics. The primary goal of the European project INFERNOS (Information, fluctuations, and energy control in small systems) is to realize experimentally Maxwell’s Demon; in other words, to develop the electronic and biomolecular nanodevices that support this principle.

The Universitat de Barcelona (University of Barcelona) Oct. 7, 2013 news release, which originated the news item, provides more details about the project,

Although Maxwell’s Demon is one of the cornerstones of theoretical statistical mechanisms, little has been done about its definite experimental realization. Marco Ribezzi, researcher from the Department of Fundamental Physics, explains that “the principal novelty of INFERNOS is to bring a robust and rigorous experimental base for this field of knowledge. We aim at creating a device that can use information to supply/extract energy to/from a system”. In this sense, the UB group, in which researcher Fèlix Ritort from the former department also participates, focuses their activity on understanding how information and temperature changes are used in individual molecules manipulation.

From the theory side, researchers will work in order to develop a theory of the fluctuation processes in small systems, which would then facilitate efficient algorithms for the Maxwell’s Demon operation.

INFERNOS is a three-year European project of the programme Future and Emerging Technologies (FET). Besides the University of Barcelona, INFERNOS partners are: Aalto University (Finland), project coordinator, Lund University (Sweden), the University of Oslo (Norway), Delf University of Technology (Netherlands), the National Center for Scientific Research (France) and the Research Foundation of State University of New York.

I like the INFERNOS logo, demon and all,

Logo of the European project INFERNOS (Information, fluctuations, and energy control in small systems).

Logo of the European project INFERNOS (Information, fluctuations, and energy control in small systems).

The INFERNOS project website can be found here.

And for anyone who finds that music is the best way to learn, here are Flanders & Swann* performing ‘First and Second Law’ from a 1964 show,

Enjoy!

* ‘Swan’ corrected to ‘Swann’ on April 1, 2014.

Maxwell’s demon and quantum dots

James Clerk Maxwell, physicist,  has entered the history books for any number reasons but my personal favourite is Maxwell’s demon, a thought experiment he proposed in the 1800s to violate the 2nd law of thermodynamics. Lisa Zyga in her Feb. 1, 2013 article for phys.org provides an explanation,

When you open your door on a cold winter day, the warm air from your home and the cold air from outside begin to mix and evolve toward thermal equilibrium, a state of complete entropy where the temperatures outside and inside are the same. This situation is a rough example of the second law of thermodynamics, which says that entropy in a closed system never decreases. If you could control the air flow in a way that uses a sufficiently small amount of energy, so that the entropy of the system actually decreases overall, you would have a hypothetical mechanism called Maxwell’s demon.

Here’s how Maxwell describes his thought experiment along with a further explanation, from the Maxwell’s demon essay on Wikipedia (Note: I have removed links),

… if we conceive of a being whose faculties are so sharpened that he can follow every molecule in its course, such a being, whose attributes are as essentially finite as our own, would be able to do what is impossible to us. For we have seen that molecules in a vessel full of air at uniform temperature are moving with velocities by no means uniform, though the mean velocity of any great number of them, arbitrarily selected, is almost exactly uniform. Now let us suppose that such a vessel is divided into two portions, A and B, by a division in which there is a small hole, and that a being, who can see the individual molecules, opens and closes this hole, so as to allow only the swifter molecules to pass from A to B, and only the slower molecules to pass from B to A. He will thus, without expenditure of work, raise the temperature of B and lower that of A, in contradiction to the second law of thermodynamics….

In other words, Maxwell imagines one container divided into two parts, A and B. Both parts are filled with the same gas at equal temperatures and placed next to each other. Observing the molecules on both sides, an imaginary demon guards a trapdoor between the two parts. When a faster-than-average molecule from A flies towards the trapdoor, the demon opens it, and the molecule will fly from A to B. Likewise, when a slower-than-average molecule from B flies towards the trapdoor, the demon will let it pass from B to A. The average speed of the molecules in B will have increased while in A they will have slowed down on average. Since average molecular speed corresponds to temperature, the temperature decreases in A and increases in B, contrary to the second law of thermodynamics.

Two scientists, according to a recent study published in Physical Review Letters, have proposed a way of creating Maxwell’s demon, from Zyga’s article,

In a new study, Philipp Strasberg at the Institute of Technology in Berlin, and coauthors have proposed that Maxwell’s demon can be physically implemented with two interacting quantum dots connected to thermal reservoirs, where one dot takes the role of the demon and the other that of the controlled system. The experiment doesn’t violate the second law of thermodynamics, but it provides a very simple, minimalist implementation of the demon.

Here’s the proposition,

In their proposed experiment, the scientists coupled one dot to two reservoirs, which acts as a single-electron transistor, and coupled the second dot to another reservoir. The physicists showed that the second dot can be tuned to detect the transistor’s state, which is either empty (0) or filled (1). In order to do this, the two dots must be perfectly correlated, so that when the first dot (transistor) gets filled up, the second dot (detector) gets emptied, and vice versa. When the detector performs an infinitely fast and precise feedback, then the system receives additional information during entropy production.

Here’s a citation and a link for the paper,

Thermodynamics of a Physical Model Implementing a Maxwell Demon by Philipp Strasberg, Gernot Schaller, Tobias Brandes, and Massimiliano Esposito. Phys. Rev. Lett. 110, 040601 (2013) [5 pages] DOI: 10.1103/PhysRevLett.110.040601

This paper is behind a paywall.