Affiliation:
1. Département de Mathématiques et Applications, Université Pierre et Marie Curie and École Normale Supérieure, 45 rue d’Ulm, 75230 Paris, France
Abstract
Boltzmann brought a fundamental contribution to the understanding of the notion of entropy, by giving a microscopic formulation of the second principle of thermodynamics. His ingenious idea, motivated by the works of his contemporaries on the atomic nature of matter, consists of describing gases as huge systems of identical and indistinguishable elementary particles. The state of a gas can therefore be described in a statistical way. The evolution, which introduces couplings, loses part of the information, which is expressed by the decay of the so-called mathematical entropy (the opposite of physical entropy!).
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Cited by
2 articles.
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1. Introduction;Entropy Methods for Diffusive Partial Differential Equations;2016
2. Entropy and convexity for nonlinear partial differential equations;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2013-12-28