F. Barra, and T. Gilbert. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
The self-similar Lorentz billiard channel is a spatially extended
deterministic dynamical system which consists of an infinite
one-dimensional sequence of cells whose sizes increase monotonously
according to their indices. This special geometry induces a non-equilibrium
stationary state with particles flowing steadily from the small to the
large scales. The corresponding invariant measure has fractal properties
reflected by the phase-space contraction rate of the
dynamics restricted to a single cell with appropriate boundary conditions. In
the near-equilibrium limit, we find numerical agreement
between this quantity and the entropy production rate as specified by
thermodynamics. A relation to the iso-kinetic Lorentz gas is discused.
%0 Book Section
%1 statphys23_1121
%A Barra, F.
%A Gilbert, T.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K diffusive driven processes states stationary statphys23 systems topic-1 transport
%T Conduction in self-similar Billiards
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1121
%X The self-similar Lorentz billiard channel is a spatially extended
deterministic dynamical system which consists of an infinite
one-dimensional sequence of cells whose sizes increase monotonously
according to their indices. This special geometry induces a non-equilibrium
stationary state with particles flowing steadily from the small to the
large scales. The corresponding invariant measure has fractal properties
reflected by the phase-space contraction rate of the
dynamics restricted to a single cell with appropriate boundary conditions. In
the near-equilibrium limit, we find numerical agreement
between this quantity and the entropy production rate as specified by
thermodynamics. A relation to the iso-kinetic Lorentz gas is discused.
@incollection{statphys23_1121,
abstract = {The self-similar Lorentz billiard channel is a spatially extended
deterministic dynamical system which consists of an infinite
one-dimensional sequence of cells whose sizes increase monotonously
according to their indices. This special geometry induces a non-equilibrium
stationary state with particles flowing steadily from the small to the
large scales. The corresponding invariant measure has fractal properties
reflected by the phase-space contraction rate of the
dynamics restricted to a single cell with appropriate boundary conditions. In
the near-equilibrium limit, we find numerical agreement
between this quantity and the entropy production rate as specified by
thermodynamics. A relation to the iso-kinetic Lorentz gas is discused.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Barra, F. and Gilbert, T.},
biburl = {https://www.bibsonomy.org/bibtex/2f0a91842f8b71965d159857464445a0f/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {3b489b2921724b6ae826c5c5856ddf3b},
intrahash = {f0a91842f8b71965d159857464445a0f},
keywords = {diffusive driven processes states stationary statphys23 systems topic-1 transport},
month = {9-13 July},
timestamp = {2007-06-20T10:16:39.000+0200},
title = {Conduction in self-similar Billiards},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1121},
year = 2007
}