Statistical Mechanics for Athermal Fluctuation
Statistical Mechanics for Athermal Fluctuation
复制标题
非热涨落的统计力学
DOI：
10.1007/978-981-10-6332-9
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
Kiyoshi Kanazawa
中科院分区：
文献类型：
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作者：
Kiyoshi Kanazawa
本文从统计力学的角度研究了非热涨落。随机方法在理论上是非常强大的描述在一个单一的轨道水平上的小系统的热力学量的波动，最近已经发展的基础上随机热力学。本文首次提出了一个系统的框架来描述非热涨落，发展了非高斯过程的随机热力学，而在大多数传统的研究中，热涨落主要是从高斯随机过程的角度来处理。首先，这本书提供了一个基本的介绍随机过程和随机热力学。本文导出了一个非高斯噪声的类Langevin方程作为非热系统的最小随机模型，并给出了其系统展开式的解析解。此外，本文还给出了这种非高斯涨落的热力学框架，并研究了一些不同于传统热力学的热力学现象，如热传导和能量泵。本书所介绍的理论将为定量描述非热涨落动力学和用随机方法分析其热力学性质提供系统的基础。
The author investigates athermal fluctuation from the viewpoints of statistical mechanics in this thesis. Stochastic methods are theoretically very powerful in describing fluctuation of thermodynamic quantities in small systems on the level of a single trajectory and have been recently developed on the basis of stochastic thermodynamics. This thesis proposes, for the first time, a systematic framework to describe athermal fluctuation, developing stochastic thermodynamics for non-Gaussian processes, while thermal fluctuations are mainly addressed from the viewpoint of Gaussian stochastic processes in most of the conventional studies. First, the book provides an elementary introduction to the stochastic processes and stochastic thermodynamics. The author derives a Langevin-like equation with non-Gaussian noise as a minimal stochastic model for athermal systems, and its analytical solution by developing systematic expansions is shown as the main result. Furthermore, the a uthor shows a thermodynamic framework for such non-Gaussian fluctuations, and studies some thermodynamics phenomena, ie heat conduction and energy pumping, which shows distinct characteristics from conventional thermodynamics. The theory introduced in the book would be a systematic foundation to describe dynamics of athermal fluctuation quantitatively and to analyze their thermodynamic properties on the basis of stochastic methods.