Statistical Mechanics for Athermal Fluctuation Non-Gaussian Noise in Physics /

• Main Author: Kanazawa, Kiyoshi (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Physics.; System theory.; Mathematical physics.; Thermodynamics.; Statistics.; Complex Systems.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.; Mathematical Applications in the Physical Sciences.; Statistical Physics and Dynamical Systems.

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...

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.