https://rctn.org/w/index.php?action=history&feed=atom&title=NON-EQUILIBRIUM_CLUBNON-EQUILIBRIUM CLUB - Revision history2026-06-14T20:49:05ZRevision history for this page on the wikiMediaWiki 1.39.4https://rctn.org/w/index.php?title=NON-EQUILIBRIUM_CLUB&diff=4625&oldid=prevTony at 00:45, 18 July 20092009-07-18T00:45:18Z<p></p>
<p><b>New page</b></p><div>GOALS:<br />
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1. Understand the relations between entropy production, free energy changes and work done in the non-equilibrium regime of Markov processes and deterministic Hamiltonian dynamics. ie: understand all the different Fluctuation Theorems.<br />
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2. Connect these to machine learning of time series via objectives like Minimum Conditional Entropy Production. Understand the relation of new work-based objectives to classical unsupervised learning objectives like maximum likelihood.<br />
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PAPERS:<br />
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These are the most important papers from Crooks. His thesis goes through the theorems for Markov chains thoroughly. You will find it on his webpage www.threeplusone.com<br />
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Crooks G.E. 1999. Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences<br />
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Crooks G.E. 1999. Path ensemble averages in systems driven far from equilibrium.<br />
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Crooks G.E. 2007. Beyond Boltzmann-Gibbs statistics: Maximum entropy hyper-ensembles out of equilibrium<br />
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The following 3 papers are very insightful and contain some of the most advanced ideas<br />
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Gomez-Martin A., Parrondo J.M.R. \& Van den Broeck. 2008. The "footprints" of irreversibility<br />
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Kawai R., Parrondo J.M.R. \& Van den Broeck. 2007. Dissipation: the phase-space perspective<br />
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Parrondo J.M.R., Van den Broeck \& Kawai R. 2009. Entropy production and the arrow of time<br />
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Mae's papers are really difficult and confusing but they seem to be the most advanced work. This one contains the path ensemble maths for markov chains.<br />
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Maes C. \& Netocny 2002. Time-reversal and entropy<br />
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This one you should read section 4 on Entropy Production and maybe sections 1 and 2 for background<br />
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Maes C. 2001. Statistical mechanics of entropy production: Gibbsian hypothesis and local fluctuations<br />
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Kurchan J. 2005. Non-equilibrium work relations<br />
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This is a useful short review of foundations. Not deep, but a good starting point if you're confused.<br />
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Karevski D. 2007. Foundations of statistical mechanics: in and out of equilibrium</div>Tony