Entropy and irreversibility in dynamical systems
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Thu, 14/06/2012 12:30 |
Oliver Penrose (Heriot-Watt University) |
OxPDE Lunchtime Seminar  |
Gibson 1st Floor SR |
A method of defining non-equilibrium entropy for a chaotic dynamical system is proposed which, unlike the usual method based on Boltzmann's principle  , 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. |
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