A large deviation theory perspective on nanoscale transport phenomena
A large deviation theory perspective on nanoscale transport phenomena
复制标题
DOI：
10.1140/epjb/s10051-021-00164-1
复制
发表时间：
2021-04
期刊：
影响因子：
--
通讯作者：
David T. Limmer;C. Y. Gao;A. Poggioli
中科院分区：
文献类型：
--
作者：
David T. Limmer;C. Y. Gao;A. Poggioli
了解复杂的纳米系统中的传输过程，如纳米流体设备中的离子电导率或低维固体中的热传导，提出了检查非平衡稳态内电流波动的问题，并将这些波动与非线性或异常响应联系起来。我们已经开发了一个系统的框架，用于计算分子模型中的时间积分电流分布，并将这些分布的累积量与非线性输运系数联系起来。在这个角度阐述的方法遵循动态大偏差理论，从以前的正式发展中受益，并已在几个应用程序中得到说明。该框架提供了一个微观基础，超越传统的流体力学的情况下，局部平衡假设打破，这是无处不在的纳米尺度。
Understanding transport processes in complex nanoscale systems, like ionic conductivities in nanofluidic devices or heat conduction in low-dimensional solids, poses the problem of examining fluctuations of currents within nonequilibrium steady states and relating those fluctuations to nonlinear or anomalous responses. We have developed a systematic framework for computing distributions of time integrated currents in molecular models and relating cumulants of those distributions to nonlinear transport coefficients. The approach elaborated upon in this perspective follows from the theory of dynamical large deviations, benefits from substantial previous formal development, and has been illustrated in several applications. The framework provides a microscopic basis for going beyond traditional hydrodynamics in instances where local equilibrium assumptions break down, which are ubiquitous at the nanoscale.