Seminar series
Date
Thu, 14 Jun 2012
Time
12:30 -
13:30
Location
Gibson 1st Floor SR
Speaker
Oliver Penrose
Organisation
Heriot-Watt University
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.