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arXiv 0708.0489cond-mat.stat-mech
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驱动扩散的稳态统计

Steady state statistics of driven diffusions

Christian Maes, Karel Netocny, Bram Wynants

摘要:

我们考虑过阻尼扩散过程驱动的热平衡,我们分析了他们的动力学稳定的波动。我们讨论的热力学解释的联合波动的占领时间和电流,他们分别纳入时间对称和时间反对称部门的波动。我们突出的联合波动的正则结构。流量的新概念补充了熵产生的占用统计的研究。我们解释了如何占领和电流波动得到相互耦合的平衡。它们的解耦接近平衡解释了熵产生原理的有效性。

英文摘要:

We consider overdamped diffusion processes driven out of thermal equilibrium and we analyze their dynamical steady fluctuations. We discuss the thermodynamic interpretation of the joint fluctuations of occupation times and currents; they incorporate respectively the time-symmetric and the time-antisymmetric sector of the fluctuations. We highlight the canonical structure of the joint fluctuations. The novel concept of traffic complements the entropy production for the study of the occupation statistics. We explain how the occupation and current fluctuations get mutually coupled out of equilibrium. Their decoupling close-to-equilibrium explains the validity of entropy production principles.

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