### Abstract

We derive a fluctuation theorem to describe entropy fluctuations in steady states of systems with density gradients due to open boundaries. The fluctuations are related to the growth rate of the phase-space density, instead of the phase-space contraction rate. Explicit derivations are presented for a multibaker map, but the arguments are rather general, and should hold for a much wider class of dynamical systems. A comparison with recent results for stochastic systems is also given.

Original language | English |
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Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 61 |

Issue number | 5 A |

Publication status | Published - May 2000 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability

### Cite this

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,

*61*(5 A).

**Fluctuation theorems for entropy production in open systems.** / Rondoni, Lamberto; Tél, T.; Vollmer, Jürgen.

Research output: Contribution to journal › Article

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 61, no. 5 A.

}

TY - JOUR

T1 - Fluctuation theorems for entropy production in open systems

AU - Rondoni, Lamberto

AU - Tél, T.

AU - Vollmer, Jürgen

PY - 2000/5

Y1 - 2000/5

N2 - We derive a fluctuation theorem to describe entropy fluctuations in steady states of systems with density gradients due to open boundaries. The fluctuations are related to the growth rate of the phase-space density, instead of the phase-space contraction rate. Explicit derivations are presented for a multibaker map, but the arguments are rather general, and should hold for a much wider class of dynamical systems. A comparison with recent results for stochastic systems is also given.

AB - We derive a fluctuation theorem to describe entropy fluctuations in steady states of systems with density gradients due to open boundaries. The fluctuations are related to the growth rate of the phase-space density, instead of the phase-space contraction rate. Explicit derivations are presented for a multibaker map, but the arguments are rather general, and should hold for a much wider class of dynamical systems. A comparison with recent results for stochastic systems is also given.

UR - http://www.scopus.com/inward/record.url?scp=4243851619&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243851619&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:4243851619

VL - 61

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 5 A

ER -