61,661 research outputs found
Note on Two Theorems in Nonequilibrium Statistical Mechanics
An attempt is made to clarify the difference between a theorem derived by
Evans and Searles in 1994 on the statistics of trajectories in phase space and
a theorem proved by the authors in 1995 on the statistics of fluctuations on
phase space trajectory segments in a nonequilibrium stationary state.Comment: 3 pages, Revte
Orbital measures in non-equilibrium statistical mechanics: the Onsager relations
We assume that the properties of nonequilibrium stationary states of systems
of particles can be expressed in terms of weighted orbital measures, i.e.
through periodic orbit expansions. This allows us to derive the Onsager
relations for systems of particles subject to a Gaussian thermostat, under
the assumption that the entropy production rate is equal to the phase space
contraction rate. Moreover, this also allows us to prove that the relevant
transport coefficients are not negative. In the appendix we give an argument
for the proper way of treating grazing collisions, a source of possible
singularities in the dynamics.Comment: LaTeX, 14 pages, 1 TeX figure in the tex
- …