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arXiv 1303.7069cond-mat.stat-mech
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关于准静态过程的功分配

On the work distribution in quasi-static processes

Johannes Hoppenau, Andreas Engel

摘要:

我们推导出等温准静态朗之万过程中功分布的系统的多时间尺度微扰展开式。对于一阶,我们发现高斯分布再现了Speck和Seifert [Phys.Rev.E70,066112(2004)]的结果。仔细检查微扰理论的适用性,然后我们表明,无论时间尺度分离,扩展分解时,适用于非典型的工作值从尾部的分布。因此,我们调和斯佩克和塞弗特的结果显然是相互冲突的精确表达式的渐近的工作分布在特殊系统和直观的参数建设的中心极限定理。

英文摘要:

We derive a systematic, multiple time-scale perturbation expansion for the work distribution in isothermal quasi-static Langevin processes. To first order we find a Gaussian distribution reproducing the result of Speck and Seifert [Phys. Rev. E 70, 066112 (2004)]. Scrutinizing the applicability of perturbation theory we then show that, irrespective of time-scale separation, the expansion breaks down when applied to untypical work values from the tails of the distribution. We thus reconcile the result of Speck and Seifert with apparently conflicting exact expressions for the asymptotics of work distributions in special systems and with an intuitive argument building on the central limit theorem.

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