Journal of Experimental and Theoretical Physics

, Volume 127, Issue 5, pp 945–947 | Cite as

Yet Another Approach to Loschmidt’s Paradox

  • L. A. MelnikovskyEmail author


The works by Lev Petrovich Pitaevskii are reference points for choosing an interesting research topic. An example is the article [1] which promotes rigorous results in nonequilibrium statistical physics. In present paper, we rigorously prove that a nonequilibrium state, on the average, is a local entropy minimum. This statement corresponds to the “entropy growth” of statistical mechanics and does not violate time reversal symmetry of microscopic motion: the first-order time derivative of the entropy is zero \(\dot {S}\) = 0, while the second order derivative is non-negative \(\ddot {S}\) ≥ 0.



I thank A.F. Andreev and O.A. Sudakov for fruitful discussions.


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Copyright information

© Pleiades Publishing, Inc. 2018

Authors and Affiliations

  1. 1.Kapitza Institute for Physical Problems, Russian Academy of SciencesMoscowRussia

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