### Abstract

A generalized multibaker map with periodic boundary conditions is shown to model boundary-driven transport, when the driving is applied by a "perturbation" of the dynamics localized in a macroscopically small region. In this case there are sustained density gradients in the steady state. A non-uniform stationary temperature profile can be maintained by incorporating a heat source into the dynamics, which deviates from the one of a bulk system only in a (macroscopically small) localized region such that a heat (or entropy) flux can enter an attached thermostat only in that region. For these settings the relation between the average phase-space contraction, the entropy flux to the thermostat and irreversible entropy production is clarified for stationary and non-stationary states. In addition, thermoelectric cross effects are described by a multibaker chain consisting of two parts with different transport properties, modeling a junction between two metals.

Original language | English |
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Pages (from-to) | 79-105 |

Number of pages | 27 |

Journal | Journal of Statistical Physics |

Volume | 101 |

Issue number | 1-2 |

Publication status | Published - Oct 1 2000 |

### Keywords

- Deterministic chaos
- Entropy balance
- Multibaker maps
- Spatial extension
- Thermoelectric cross effects
- Thermostating

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

*Journal of Statistical Physics*,

*101*(1-2), 79-105.