1998/04/10 by F. Bonetto, N. I. Chernov, J. L. Lebowitz · 1 citation
Physics and Astronomy · #chao-dyn #nlin.CD
paper · pdf · doi:10.1063/1.166369
18 pages, 11 figures
arxiv created 1998/04/10 · arxiv updated 2009/11/30
We studied numerically the validity of the fluctuation theorem, introduced by Evans,Cohen and Morris and proved by Gallavotti and Cohen, for a 2-dimensional system of particles maintained in a steady shear flow by Maxwell daemon boundary conditions (see Chernov and Lebowitz). The theorem was found to hold if one considers the total phase space contraction σ occuring at collisions with both walls: σ=σ^\su+σ^\giu. An attempt to extend it to more local quantities σ^\su and σ^\giu, corresponding to the collisions with the top or bottom wall only, gave negative results. The time decay of the correlations in σ\su,\giu was very slow compared to that of σ.