Mapping nonequilibrium onto equilibrium: the macroscopic fluctuations of simple transport models.
Mapping nonequilibrium onto equilibrium: the macroscopic fluctuations of simple transport models.
复制标题
将非平衡映射到平衡：简单输运模型的宏观波动。
DOI：
10.1103/physrevlett.99.150602
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发表时间：
2007
影响因子：
8.6
通讯作者：
V. Lecomte
中科院分区：
文献类型：
--
作者：
J. Tailleur;J. Kurchan;V. Lecomte
我们研究了一个简单输运模型，该模型对应于对称简单排斥过程的水动力极限。我们证明了密度和电流的非局域变换将模型的大偏差映射成满足详细平衡的开放的孤立链的大偏差，其中罕见的涨落是弛豫的时间反转。我们认为，这种映射的存在是该模型能够通过变量的初等变换得到密度大偏差函数的显式解的直接原因。这种方法可以推广到以前用宏观涨落理论处理的其他模型。
We study a simple transport model driven out of equilibrium by reservoirs at the boundaries, corresponding to the hydrodynamic limit of the symmetric simple exclusion process. We show that a nonlocal transformation of densities and currents maps the large deviations of the model into those of an open, isolated chain satisfying detailed balance, where rare fluctuations are the time reversals of relaxations. We argue that the existence of such a mapping is the immediate reason why it is possible for this model to obtain an explicit solution for the large-deviation function of densities through elementary changes of variables. This approach can be generalized to the other models previously treated with the macroscopic fluctuation theory.