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arXiv 0712.0339cond-mat.stat-mech
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存在局部加热时的非平衡涨落定理

Non-equilibrium fluctuation theorems in the presence of local heating

Punyabrata Pradhan, Yariv Kafri, Dov Levine

摘要:

我们研究了两个非平衡工作波动定理,克鲁克斯定理和Jarzynski等式,为一个测试系统耦合到一个空间扩展的热库,其自由度明确建模。定理的有效性的充分条件进行了详细讨论,并比较经典的哈密顿动力学的情况下。当条件满足时,波动定理被证明是成立的,尽管事实上,测试系统的紧邻在一个不可逆的过程中失去平衡。我们还研究了耦合到热库上的$<\exp(-βW)>$收敛到其理论平均值的效果,其中$W$是对测试系统所做的工作,$β$是逆温度。结果表明,局部加热越大,辐合越慢。

英文摘要:

We study two non-equilibrium work fluctuation theorems, the Crooks' theorem and the Jarzynski equality, for a test system coupled to a spatially extended heat reservoir whose degrees of freedom are explicitly modeled. The sufficient conditions for the validity of the theorems are discussed in detail and compared to the case of classical Hamiltonian dynamics. When the conditions are met the fluctuation theorems are shown to hold despite the fact that the immediate vicinity of the test system goes out of equilibrium during an irreversible process. We also study the effect of the coupling to the heat reservoir on the convergence of $<\exp(-βW)>$ to its theoretical mean value, where $W$ is the work done on the test system and $β$ is the inverse temperature. It is shown that the larger the local heating, the slower the convergence.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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