Statistical Mechanics for Athermal Fluctuation Non-Gaussian Noise in Physics

Statistical Mechanics for Athermal Fluctuation Non-Gaussian Noise in Physics / by Kiyoshi Kanazawa.

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...

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Bibliographic Details
Main Author: Kanazawa, Kiyoshi (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Springer Theses, Recognizing Outstanding Ph.D. Research,
Springer eBook Collection.
Subjects:
Thermodynamics.
Statistical physics.
Dynamical systems.
Statistics .
Mathematical physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Introduction to Physics of Fluctuation
  • Markovian Stochastic Processes
  • Kinetic Theory for Dilute Gas
  • Langevin Equation and its Microscopic Derivation
  • Stochastic Calculus for the Single-Trajectory Analysis
  • Stochastic Energetics for Langevin Dynamics
  • Microscopic Derivation of Linear Non-Gaussian Langevin Equation
  • Analytical Solution to Non-linear Non-Gaussian Langevin Equation
  • Stochastic Energetics for Non-Gaussian Stochastic Dynamics
  • Energy Transport between Athermal Systems
  • Energy Pumping from Athermal Systems
  • Conclusion.

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