Statistical Mechanics for Athermal Fluctuation

1. Introduction to Physics of Fluctuation
Kiyoshi Kanazawa

Part I. Review on Stochastic Theory forFluctuating Thermal Systems

2. Markovian Stochastic Processes
Kiyoshi Kanazawa

3. Kinetic Theory for Dilute Gas
Kiyoshi Kanazawa

4. Langevin Equation and Its Microscopic Derivation
Kiyoshi Kanazawa

5. Stochastic Calculus for the Single-Trajectory Analysis
Kiyoshi Kanazawa

6. Stochastic Energetics for Langevin Dynamics
Kiyoshi Kanazawa

Part II. Statistical Mechanics forFluctuating Athermal Systems

7. Microscopic Derivation of Linear Non-Gaussian Langevin Equation
Kiyoshi Kanazawa

8. Analytical Solution to Nonlinear Non-Gaussian Langevin Equation
Kiyoshi Kanazawa

9. Stochastic Energetics for Non-Gaussian Stochastic Dynamics
Kiyoshi Kanazawa

10. Energy Transport Between Athermal Systems
Kiyoshi Kanazawa

11. Energy Pumping from Athermal Systems
Kiyoshi Kanazawa

12. Conclusion
Kiyoshi Kanazawa

Avainsanat: Physics, Thermodynamics, Complex Systems, Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences, Mathematical Applications in the Physical Sciences, Statistical Physics and Dynamical Systems