### Steady-state conduction in self-similar billiards

### 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 monotonically according to their indices. This special geometry induces a nonequilibrium 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. Â© 2007 The American Physical Society.

### Más información

Título según WOS: | Steady-state conduction in self-similar billiards |

Título según SCOPUS: | Steady-state conduction in self-similar billiards |

Título de la Revista: | PHYSICAL REVIEW LETTERS |

Volumen: | 98 |

Número: | 13 |

Editorial: | American Physical Society |

Fecha de publicación: | 2007 |

Idioma: | English |

URL: | http://link.aps.org/doi/10.1103/PhysRevLett.98.130601 |

DOI: |
10.1103/PhysRevLett.98.130601 |

Notas: | ISI, SCOPUS |