### Abstract

The rate of change of the entropy S and free energy A with respect to time for a nonequilibrium system in a steady state is considered. A modified Liouville equation is derived to account for the phase space Jacobian arising from nontrivial phase space compression. With due allowance for this factor, the relations Ṡ = 0 and Ȧ = 0 are obtained, results that are consistent with the assumption of a smooth, differentiable phase space distribution function.

Original language | English (US) |
---|---|

Pages (from-to) | 2042-2045 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 78 |

Issue number | 11 |

State | Published - 1997 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*78*(11), 2042-2045.

**Toward a statistical thermodynamics of steady states.** / Tuckerman, Mark; Mundy, Christopher J.; Klein, Michael L.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 78, no. 11, pp. 2042-2045.

}

TY - JOUR

T1 - Toward a statistical thermodynamics of steady states

AU - Tuckerman, Mark

AU - Mundy, Christopher J.

AU - Klein, Michael L.

PY - 1997

Y1 - 1997

N2 - The rate of change of the entropy S and free energy A with respect to time for a nonequilibrium system in a steady state is considered. A modified Liouville equation is derived to account for the phase space Jacobian arising from nontrivial phase space compression. With due allowance for this factor, the relations Ṡ = 0 and Ȧ = 0 are obtained, results that are consistent with the assumption of a smooth, differentiable phase space distribution function.

AB - The rate of change of the entropy S and free energy A with respect to time for a nonequilibrium system in a steady state is considered. A modified Liouville equation is derived to account for the phase space Jacobian arising from nontrivial phase space compression. With due allowance for this factor, the relations Ṡ = 0 and Ȧ = 0 are obtained, results that are consistent with the assumption of a smooth, differentiable phase space distribution function.

UR - http://www.scopus.com/inward/record.url?scp=0000063860&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000063860&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000063860

VL - 78

SP - 2042

EP - 2045

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 11

ER -