Argonne researchers posit way to locally circumvent Second Law of Thermodynamics
anl.gov
anl.gov
That said, it's entirely possible for entropy to spontaneously decrease in a closed system, the probability of this happening is just astronomically small for typical macroscopic systems.
Example:
If you have a system consisting of two compartments that are separated by a wall, where one of the compartments contains N particles. The system has low entropy because all the particles are on one side of it. Now, if you remove the barrier between the two compartments, particles will distribute evenly on both sides, increasing the entropy of the system. If we assume that the position of the particles is random, the probability of finding all of them on one side of the system is (1/2)^N, which quickly converges to zero for most macroscopic systems, which often contain > 10^23 particles.
What would you consider a "fundamental physical law"?
https://www.amazon.com/Thermal-Physics-2nd-Charles-Kittel/dp...
I'm surprised that Markov chains would be involved when the laws of physics are deterministic.
The Poincare recurrence theorem has always suggested to me that the second law is not as fundamental as other laws. For a finite system with finite phase space, the state of a system will traverse closed loops, repeating forever with no steady increase or decrease in entropy. (Edit: to be clear, I'm not claiming that what I just described is the Poincare recurrence theorem or that it applies to our universe. But it is worth considering systems where the second law doesn't apply and trying to figure out how and if they differ critically from reality.)
https://en.wikipedia.org/wiki/Poincar%C3%A9_recurrence_theor...
Not that my background is worth anything, but just so you know where I'm coming from, I have a PhD in physics, spent years thinking about the entropy of computation, and wrote parts of the Wikipedia entry on Maxwell's demon. I think much of the disagreement over entropy and the second law comes from how we frame the problem.
IIRC, the proof requires the markov chain be irreducible, and extends to the general case by summing over the irreducible parts; and that entropy will stay the same or increase while converging to the stationary distribution over states.
(Although it has now been 20 years since I dealt with these things so I might be misremembering. Time to retread Cover&Thomas I guess...)
[0] staff.ustc.edu.cn/~cgong821 /Wiley.Interscience.Elements.of.Information.Theory.Jul.2006.eBook-DDU.pdf seems to have a copy indexed by Google. I suspect it is not legitimate
Put another way: the second law of thermodynamics is not required to fully describe a universe that acts like ours appears to. It will "take care of itself" based on more fundamental descriptions of matter and its interactions.
I'm also comfortable with what appears to be fundamental today no longer being fundamental tomorrow.
I don't think enumerating the pedigree of a law gives it the seal of approval of validity. Newtonian physics also has pretty solid pedigree, and yet breaks down in relativistic conditions.
Please note I do not disagree with your conclusion, only with the way you present it.
B. Was around at the beginning or prior to the big bang, as opposed to being the result of conditions early on.
C. What other laws, forces, constants, etc derive from.
The probability of either theory producing an incorrect prediction external to the theory is much higher, and will be about the same for each theory. That is, it's more likely we're wrong about all of physics than that the second law makes a bad prediction in a bulk system.
Explanation of "internal" vs "external" probability: http://lesswrong.com/lw/3be/confidence_levels_inside_and_out...
I did not remember the exact statement when I posted earlier, but here it is: the statement of the (markov) 2nd law of thermodynamics is also a statement about the sample space: It says that in expectation (over the ensemble) the relative entropy decreases towards that of stationary distribution (which in most systems is the highest entropy distribution possible in that system, thus absolute entropy is non decreasing). That is, unless the system starts at a state with a higher entropy than that of the stationary distribution, entropy will not decrease.
Both are mathematical statements, consequences of pure mathematics, neither of which gives a prediction - they both give ensemble averages, and both are both internally perfectly correct and consistent. See Cover & Thomas, 2nd Edition, Jul 2006, pg 81, section 4.4 - entropy rate of markov processes. Unless, of course, you are referring to a different version of the uncertainty principle which I am not familiar with.
Perhaps I have made the same mistake as you, and was thinking about the practical but non-generalized way the second law of thermodynamics is usually taught, which includes concepts like "the system will be in this state". The only part of your statement that is still probabilistic is "entropy will not decrease". That's not really true; it probably won't decrease.
>neither of which gives a prediction
"entropy will not decrease" is a prediction. It is possible (albeit overwhelmingly unlikely over large time scales) that this prediction is sometimes false.
The markov/IT version of the 2nd law is a statement about macrostate entropy (taking the entire microstate ensemble for each macrostate), and in that sense it is not probabilistic. See the Cover&Thomas reference I gave earlier for the exact definition. It is indeed different than how it is usually taught in physics, in which the microstates are differentiated.
I guess we both need to be more careful about mathematical definitions in the future ...
Complexity is orthogonal to entropy. The aforementioned barrier-separated box is high in entropy but simple. Upon lifting the barrier, a description of the gas front moving into the vacuum is enormously complex. It is also lower in entropy than the previous, barrier-separated state. Finally, when the gas is diffuse and entropy at its maximum, complexity dips back down.
Life is complex. Plants turn solar radiation into complex living structures; they also diffuse waste heat. Animals eat those plants, make more complex stuff, and generate more diffuse waste heat.
> The aforementioned barrier-separated box is high in entropy but simple.
This isn't true in any meaningful objective sense; representing the exact state of the system in some basis (e.g. the position or momentum states of all particles in the system) requires a huge amount of information, corresponding to the entropy. The GP only said it's a "simple" system because we (for arbitrary reasons) don't really care very much about the position of each gas molecule. We as humans are satisfied with describing the system in terms of bulk statistical characteristics like temperature and pressure. However, we would be unsatisfied doing the same thing with a similarly information-rich system such as a microprocessor, because now the bulk characteristics of the system aren't sufficient information to describe the characteristics that humans care about.
"Simplicity" or "complexity" as described by the GP is not a physical quantity; it's a reflection of which precise dynamical behavior we happen to care about. You could probably find all sorts of heuristics that generally match with human intuition, but in the end it's up to opinion.
As we know, the living stance can be maintained for only a relatively short time, after which it rapidly decomposes to background entropy.
Interesting to speculate, as living beings we are chock full of "micro-environments", there could be exceptions to the laws of nature as we've understood them that could account for certain mysteries of biological nature.
A living organism also increases the entropy of the environment.
Yes, but that's not what the person you replied to was saying. They were pointing out that there can be a global, absolute decrease in entropy, it's just statistically very unlikely.
This is because this idea is purely a tool to make calculations of large groups of particles as easy as one, but it does break down occasionally.
The best way to prove this is to compute the gravitational force between your object and any arbitrary particle on the surface, then do the integration over all the particles (across the 3 dimensions).
Newton's law of gravitation is stated in terms of a particle to particle relationship.
Center of Mass is the balance point of an object, and objects will always rotate around their center of mass unless constrained, but this doesn't relate to gravity.
You can approximate gravity at a distance from any object by using the object's center of mass, but that approximation breaks down when you're close to it.
In a microscopic level the physics can be time-symmetric (it seems not to be the case, there are T-symmetry violations), but macroscopically universe had higher entropy in the past (cosmological arrow of time)
edit: CPT-symmetry -> T-symmetry .
Kaon decay and B mesons decay break CP-symmetry and a CP-symmetry violation is equivalent T symmetry violation (CPT symmetry is preserved only if CP-violation is paired with T-symmetry violation)
Now play back time by looking at that particle's post collision path as the frame of reference and play time backwards. You will find a bias in input angles for these collisions.
Mass and energy is leaving, thus the average temp decreases but so does the particle count.
Now that I've typed this, I want to see it happen.
Which goes to show what a terrible idea this all is ;-).
[0] - http://www.tboverse.us/HPCAFORUM/phpBB3/viewforum.php?f=29 - full text of Armageddon and Pantheocide available there; the author decided to abandon the series because someone stole his work to destroy his ability to publish it.
What do you mean? It seems like the author was publishing it for free online already; how would one steal that work and prevent him from publishing?
"The third part never got written. We had a contract signed to publish them and they'd been prepared, copy-edited and put into paperback novel format (I actually have the author's preprints) when a . . . . person . . . . stole the copy and published it himself as a torrent. As a result, the whole deal fell through and nobody will touch an already-published work. So, without any possibility of generating return, I ditched the project. There's no chance of going back to it now."
I once saw a more detailed story about the guy who stole the copy and alleged reasons for doing it, but I can't find it right now.
[0] - http://www.tboverse.us/HPCAFORUM/phpBB3/viewtopic.php?f=29&t...
Xen. It could be worse, it could have been the QEMU dimension.....
:)
Do the wrong transform in, say, a Hilbert space and something quite horrible may come after you.
> Note that in the discussed example the reservoir acts as some quantum analogue of the classical Maxwell demon. Namely, having been prepared in a special state, the reservoir is able to decrease the entropy of the system without the energy exchange with it, and can be referred to as a ‘quantum Maxwell demon’ […] In what was discussed above, an electron interaction with the quantum spin does not induce any correlations between the electron and the spin and, therefore, no classical correlations are present. Hence an important distinction between how do quantum and classical Maxwell’s demons operate.
So, it sounds like the "refrigerator-at-a-distance" (and thus energy transmission, when combined with a heat engine) actually (1) is more of a battery, and (2) doesn't interact with classical systems.
Is my reading correct?
Of much greater surprise to me was the claim that an isolated quantum mechanical system neither gains nor loses entropy. I'm almost as astonished at this as I am at the fact that there are no chaotic quantum mechanical systems because quantum mechanical systems evolve linearly, while chaotic ones evolve exponentially.
If the latter astonishes you, I recommend reading https://michaelberryphysics.files.wordpress.com/2013/07/berr....
Why is this surprising? It's a simple consequence of unitarity.
In essence the entire biosphere is a giant heat engine, mainly fed off of the flow of energy from the Sun to Earth to outer space, and in some extreme environments fed by the radiation of heat out from the core of the Earth. Shut off those flows of energy, and the second law would shortly catch up to us and we'd all perish.
(our frozen, desiccated corpses would probably retain their organization longer under such conditions)
Even take a single human. Dust (to person) to dust. Ashes (to civilization) to ashes.
Also, is thermodynamic entropy applicable to organized matter?
So, a normal refrigerator decreases entropy in one region and increases it in another, but they're directly adjacent regions and the entropy (heat) is moving from one to another along a simple, everyday path (like a heat exhaust tube). It sounds like the researchers have proposed using some quantum-teleportation-like trick to have the heat show up in some unconnected region of space.
The impression I get from the article is that the newsworthy idea here is that those two locations might not need to be directly connected. This would permit what looks like a perpetual motion machine. But overall the 2nd law would still hold because entropy is increasing somewhere.
Note: I'm not a physicist so don't take my word for this. Just conveying what I think I read.
Maxwell's demon is considered a slight of hand because it requires energy to perform its task. But if a passive energy-free equivalent can be found with a novel quantum substrate then any liquid could be separated into hot and cold pools. I am highly sceptical of such a claim. The difference in temperature between these hypothetical pools would likely be too small to create any useful energy.
See also:
> For example, he said, the principle could be designed into a "refrigerator" which could be cooled remotely — that is, the energy expended to cool it could take place anywhere.
Perhaps there's another definition, but as far as I'm aware, a PPM has net negative/zero energy input from anywhere, be it local or remote.
That said, apart from hyperbolic misapplication of terminology (not a PPM, no circumventing Second Law), this does sound like interesting research.
http://www2.pitt.edu/~jdnorton/papers/ExorcistXIV/Exorcist1....
http://www2.pitt.edu/~jdnorton/papers/ExorcistXIV/Exorcist2....
...and to ease into things, an article by one of the authors:
"The Simplest Exorcism of Maxwell's Demon -- No Information Needed"
https://web.archive.org/web/20140309110028/http://www.pitt.e...
Exactly. Maxwell's Demon is a magical construct. In reality, any active device that sorts molecules into high and low energy bins would take power to run, and would generate more heat (or other entropy) than it removed by doing the sorting.
Edit: I think you might be speaking to my point that in the end it evens out, and that natural selection in turn does create entropy even as its generating information.
My grandmother's freezer was doing this 50 years ago, and I am pretty sure the engineers who designed it did not think their work was fundamental research in any way or form.
The reduce the entropy locally but in the process of doing so, increase it globally. It strictly follows the 2nd law of thermodynamics.
Can be a nice story plot for a sci-fi book, in which science finds the way to defer the rise of enthropy to some almost infinitely distant moment in future (that end of time, we've always being expecting) and move the boundaries of locality to the observable universe. What a world that would be.
So not actually "free energy", but perhaps it could be used to stage a convincing demo to potential investors.
We have two rooms. One were molecules all travel at speed A and other room molecules travel at speed B and we open a small window.
Eventually, over a long period of time the temerature in both rooms will settle at a temperature between that of B and of A.
Let's try to formule this mathematically. This is something like the mean value theorem in calculus that f'(C)(B-A) = f(B) - f(A) for some intermediate value C. And here are function f(C) is the equilibrium temperature.
In statistical mechanics we imagine we could count the number of particles -- 10^23 or 10^25 -- something very large. And some fraction M travel at speed A and N-M of them travel at speed B. And we count the probabilities of various mixtures occurring.
Feynman Lectures on Computation is a great book https://www.amazon.com/Feynman-Lectures-Computation-Richard-...
If that turns out to be false then QM will have been disproven, which is even bigger news!
The atmosphere is a heat reservoir, but just like a water reservoir behind a dam, that doesn't mean it's ever-rising. Energy flows in one side and out the other, but between the two there is room for life.
Also to a very good approximation, we emit what we absorb. When averaged over a long period, that approximation gets better. (It has been somewhat worse over the last century though.)
Some particularly avant garde types in that field have posited that the universe rather than having two constituents -- matter and energy -- has three primary first-order constituents. The third is information. Information is not merely an epiphenomena of matter and energy but a primary "thing."
If that is the case then there should be an E=mc^2 type equation that relates matter to information and energy to information and all three should be interconvertible. It would then further follow that energy can be converted into information and vice versa in the same way that matter can.
I then imagined a Dyson swarm of solar power satellites that produce a data stream encoding the energy they collect. This stream can be subscribed to and decoded to reconstitute this energy remotely. To globally conserve energy there would have to be a two-way aspect to this -- I imagined the receiver of energy transmitting "challenges" to the swarm that are then "solved" to yield energy stored in the form of the solution. The receiver then receives these solutions and executes them to generate what in effect would look like local perpetual motion. (But in reality energy is still being conserved.) It would look like a cryptographic hashcash-style challenge-response system with proof of work, but the energy input of the POW function can be reversibly extracted elsewhere.
If such a thing were possible and sufficiently efficient and could function in the presence of high latency, this could power a starship among many other things. If it were latency-tolerant it might also be a way to store energy. Save your laptop's power to its hard drive.
It reminds me a little bit of the "telematter stream" propulsion system from Peter Watts' Blindsight.
Is that really so avant-garde? It seems a bit weird to claim that thermodynamics and the arrow of time are epiphenomena when we can measure the relevant quantities experimentally. The more avant-garde thing seems to be the kinds of papers where they claim space-time or gravity are somehow emergent from entropy/information.
>If that is the case then there should be an E=mc^2 type equation that relates matter to information and energy to information and all three should be interconvertible.
Uhh, why? Even the more exotic physics-of-information work seems to end up equating entropy with space-time or something like that: mass-energy would bend space-time-entropy, but wouldn't be convertible into it.
Admittedly, this is all way above my head.
If useful quantum information-to-energy conversion requires an observer, you will also solve the planet's unemployment problem.
I'm not sure I agree with this premise, but one thing I've been musing about is that there's probably an information-theoretic lower bound for the amount of energy it takes to transmit a given quantity of data a given distance. You can pick different points along a curve (higher bandwidth/higher frequency signals need higher power to produce a given SNR, and lower-bandwidth/lower-frequency signals can produce the same SNR at a lower power) but there is some asymptotic energy limit there that you cannot beat unless you have an infinitely sensitive receiver.
Anyway, what I'm going for here is that your unifying theorem there would probably be Shannon-Hartley, since that deals with the transfer (derivative) of information. The "noise" is whatever natural equilibrium opposes the transformation process, and your SNR dB is the equivalent of the rate constant in chemistry.
It's all fairly useless without some idea of how we convert hashes back into energy of course. Without that, there is insufficient data for a meaningful answer.
This corresponds to a minimum amount of energy needed to transmit a given number of bits.
We are nowhere near this limit. However it is an upper bound that guarantees that Moore's Law can't possibly continue for classical computing to the end of this century.
(Part of the interest in quantum computing is that it has no theoretical upper limits at all. However this comes with some very weird restrictions.)