Statistical Mechanics for Athermal Fluctuation - Non-Gaussian Noise in Physics (Hardcover, 1st ed. 2017)

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, i.e. 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.

General

Imprint:	Springer Verlag, Singapore
Country of origin:	Singapore
Series:	Springer Theses
Release date:	November 2017
First published:	2017
Authors:	Kiyoshi Kanazawa
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	222
Edition:	1st ed. 2017
ISBN-13:	978-981-10-6330-5
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Thermodynamics Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics
LSN:	981-10-6330-3
Barcode:	9789811063305

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