Quantitative analysis of the Clausius inequality

被引：8

作者：

Bertini, Lorenzo ^{[1
]}

De Sole, Alberto ^{[1
]}

Gabrielli, Davide ^{[2
]}

Jona-Lasinio, Giovanni ^{[3
,4
]}

Landim, Claudio ^{[5
,6
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

[2] Univ Aquila, DISIM, I-67100 Laquila, Italy

[3] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy

[4] Univ Roma La Sapienza, INFN, I-00185 Rome, Italy

[5] IMPA, BR-22460 Rio De Janeiro, Brazil

[6] Univ Rouen, CNRS UMR 6085, F-76801 St Etienne, France

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2015年

关键词：

driven diffusive systems (theory); transport processes/heat transfer (theory); stationary states;

D O I：

10.1088/1742-5468/2015/10/P10018

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In the context of driven diffusive systems, for thermodynamic transformations over a large but finite time window, we derive an expansion of the energy balance. In particular, we characterize the transformations which minimize the energy dissipation and describe the optimal correction to the quasistatic limit. Surprisingly, in the case of transformations between homogeneous equilibrium states of an ideal gas, the optimal transformation is a sequence of inhomogeneous equilibrium states.

引用

页数：19

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