Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-03-09
Physics
Condensed Matter
Statistical Mechanics
plain TeX, 10 pagesemacs dede
Scientific paper
We study the nonequilibrium statistical mechanics of a finite classical system subjected to nongradient forces $\xi$ and maintained at fixed kinetic energy (Hoover-Evans isokinetic thermostat). We assume that the microscopic dynamics is sufficiently chaotic (Gallavotti-Cohen chaotic hypothesis) and that there is a natural nonequilibrium steady state $\rho_\xi$. When $\xi$ is replaced by $\xi+\delta\xi$ one can compute the change $\delta\rho$ of $\rho_\xi$ (linear response) and define an entropy change $\delta S$ based on energy considerations. When $\xi$ is varied around a loop, the total change of $S$ need not vanish: outside of equilibrium the entropy has curvature. But at equilibrium (i.e. if $\xi$ is a gradient) we show that the curvature is zero, and that the entropy $S(\xi+\delta\xi)$ near equilibrium is well defined to second order in $\delta\xi$.
No associations
LandOfFree
Extending the definition of entropy to nonequilibrium steady states does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Extending the definition of entropy to nonequilibrium steady states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extending the definition of entropy to nonequilibrium steady states will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-446176