Statistical Mechanics for Athermal Fluctuation

Non-Gaussian Noise in Physics

  • Kiyoshi Kanazawa

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Kiyoshi Kanazawa
    Pages 1-8
  3. Review on Stochastic Theory for Fluctuating Thermal Systems

    1. Front Matter
      Pages 9-9
    2. Kiyoshi Kanazawa
      Pages 11-26
    3. Kiyoshi Kanazawa
      Pages 27-39
    4. Kiyoshi Kanazawa
      Pages 73-85
  4. Statistical Mechanics for Fluctuating Athermal Systems

    1. Front Matter
      Pages 87-87
    2. Kiyoshi Kanazawa
      Pages 155-170
    3. Kiyoshi Kanazawa
      Pages 171-183
    4. Kiyoshi Kanazawa
      Pages 185-188
  5. Back Matter
    Pages 189-222

About this book


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 au

thor 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.


Athermal fluctuation Athermal systems Fluctuating Thermal Systems Langevin-like equation with non-Gaussian noise Markovian stochastic processes Statistical mechanics for non-equilibrium fluctuations Stochastic thermodynamics fluctuations of small systems

Authors and affiliations

  • Kiyoshi Kanazawa
    • 1
  1. 1.Yukawa Institute for Theoretical PhysicsKyoto UniversityKyotoJapan

Bibliographic information