### Abstract

We study the rate of irreversible entropy production and the entropy flux generated by low-dimensional dynamical systems modeling transport processes induced by the simultaneous presence of an external field and a density gradient. The key ingredient for understanding entropy balance is the coarse graining of the phasespace density. This mimics the fact that ever refining phase-space structures caused by chaotic dynamics can only be detected by finite resolution. Calculations are carried out for a generalized multibaker map. For the time-reversible dissipative (thermostated) version of the model, results of nonequilibrium thermodynamics are recovered in the large system limit. Independent of the choice of boundary conditions, we obtain the rate of irreversible entropy production per particle as u^{2}/D, where u is the streaming velocity (current per density) and D is the diffusion coefficient.

Original language | English |
---|---|

Pages (from-to) | 1672-1684 |

Number of pages | 13 |

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

Volume | 58 |

Issue number | 2 SUPPL. A |

Publication status | Published - 1998 |

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### ASJC Scopus subject areas

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

### Cite this

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

*58*(2 SUPPL. A), 1672-1684.

**Entropy balance in the presence of drift and diffusion currents : An elementary chaotic map approach.** / Vollmer, Jürgen; Tél, T.; Breymann, Wolfgang.

Research output: Contribution to journal › Article

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 58, no. 2 SUPPL. A, pp. 1672-1684.

}

TY - JOUR

T1 - Entropy balance in the presence of drift and diffusion currents

T2 - An elementary chaotic map approach

AU - Vollmer, Jürgen

AU - Tél, T.

AU - Breymann, Wolfgang

PY - 1998

Y1 - 1998

N2 - We study the rate of irreversible entropy production and the entropy flux generated by low-dimensional dynamical systems modeling transport processes induced by the simultaneous presence of an external field and a density gradient. The key ingredient for understanding entropy balance is the coarse graining of the phasespace density. This mimics the fact that ever refining phase-space structures caused by chaotic dynamics can only be detected by finite resolution. Calculations are carried out for a generalized multibaker map. For the time-reversible dissipative (thermostated) version of the model, results of nonequilibrium thermodynamics are recovered in the large system limit. Independent of the choice of boundary conditions, we obtain the rate of irreversible entropy production per particle as u2/D, where u is the streaming velocity (current per density) and D is the diffusion coefficient.

AB - We study the rate of irreversible entropy production and the entropy flux generated by low-dimensional dynamical systems modeling transport processes induced by the simultaneous presence of an external field and a density gradient. The key ingredient for understanding entropy balance is the coarse graining of the phasespace density. This mimics the fact that ever refining phase-space structures caused by chaotic dynamics can only be detected by finite resolution. Calculations are carried out for a generalized multibaker map. For the time-reversible dissipative (thermostated) version of the model, results of nonequilibrium thermodynamics are recovered in the large system limit. Independent of the choice of boundary conditions, we obtain the rate of irreversible entropy production per particle as u2/D, where u is the streaming velocity (current per density) and D is the diffusion coefficient.

UR - http://www.scopus.com/inward/record.url?scp=0000199737&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000199737&partnerID=8YFLogxK

M3 - Article

VL - 58

SP - 1672

EP - 1684

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 2 SUPPL. A

ER -