Authors: F. Bonetto, N.I. Chernov, J.L. Lebowitz
Title: (Global and Local) Fluctuations of Phase Space Contraction in
Deterministic Stationary Non-equilibrium
Abstract:
We studied numerically the validity of the fluctuation theorem
introduced in \cita{ECM2}\cita{GC} for a 2-dimensional system of particles
maintained in a steady shear flow by Maxwell daemon boundary conditions
\cita{CL}. The theorem was found to hold if one considers the total
phase space contraction $\sigma$ occuring at collisions with both
walls: $\sigma=\sigma^\su+\sigma^\giu$. An attempt to extend it to
more local quantities $\sigma^\su$ and $\sigma^\giu$, corresponding to
the collisions with the top or bottom wall only, gave negative
results. The time decay of the correlations in $\sigma^{\su,\giu}$ was
very slow compared to that of $\sigma$.
Adresses:
F. Bonetto: Mathematics Department, Bush Campus, Rutgers University,
Highland Park, 0NJ 08903
tel. 732-445-3512
e-mail bonetto@onsager.rutgers.edu
N.I. Chernov: Department of Mathematics, University of Alabama
in Birmingham, Birmingham, AL 35249
e-mail chernov@vorteb.math.uab.edu
J.L. Lebowitz: Department of Mathematics and Physics, Bush Campus,
Rutgers University, New Brunswick, NJ 08903
e-mail lebowitz@fermat.rutgers.edu
Archived in: mp_arc@math.utexas.edu #98-264
chao-dyn@xyz.lanl.gov #9804020
Submitted to: Chaos