%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 }