Entropy and irreversibility in dynamical systems

Oliver Penrose

doi:10.1098/rsta.2012.0349

Entropy and irreversibility in dynamical systems

Oliver Penrose^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

A method of defining non-equilibrium entropy for a chaotic dynamical system is proposed which, unlike the usual method based on Boltzmann's principle S = k log W, does not involve the concept of a macroscopic state. The idea is illustrated using an example based on Arnold's 'cat' map. The example also demonstrates that it is possible to have irreversible behaviour, involving a large increase of entropy, in a chaotic system with only two degrees of freedom.

Original language	English
Article number	20120349
Number of pages	11
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	371
Issue number	2005
DOIs	https://doi.org/10.1098/rsta.2012.0349
Publication status	Published - 28 Dec 2013

Keywords

irreversibility
entropy
Boltzmann's principle
Arnold map
macrostates
chaotic dynamical system

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10.1098/rsta.2012.0349

Cite this

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Entropy and irreversibility in dynamical systems

Abstract

Keywords

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