Exact Fluctuations of Nonequilibrium Steady States from Approximate Auxiliary Dynamics.
Exact Fluctuations of Nonequilibrium Steady States from Approximate Auxiliary Dynamics.
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来自近似辅助动力学的非平衡稳态的精确涨落。
DOI：
10.1103/physrevlett.120.210602
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发表时间：
2017
影响因子：
8.6
通讯作者：
David T. Limmer
中科院分区：
文献类型：
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作者：
Ushnish Ray;G. Chan;David T. Limmer
我们描述了一个框架，以减少计算工作量，以评估大偏差功能的时间综合观测非平衡稳态。我们这样做，通过将一个辅助动力学的轨迹为基础的蒙特卡罗计算，通过系统的传播使用一个近似的指导功能的变换。该过程重要性采样对大偏差函数贡献最大的轨迹，减轻了这种计算的指数复杂性。我们通过研究一维和二维空间中的驱动扩散和相互作用晶格模型来说明该方法。我们的工作提供了一个途径来计算大偏差函数驱动远离平衡的高维系统。
We describe a framework to reduce the computational effort to evaluate large deviation functions of time integrated observables within nonequilibrium steady states. We do this by incorporating an auxiliary dynamics into trajectory based Monte Carlo calculations, through a transformation of the system's propagator using an approximate guiding function. This procedure importance samples the trajectories that most contribute to the large deviation function, mitigating the exponential complexity of such calculations. We illustrate the method by studying driven diffusion and interacting lattice models in one and two spatial dimensions. Our work offers an avenue to calculate large deviation functions for high dimensional systems driven far from equilibrium.