SM10 · Fluctuations/response/non-eq
A 35-module path through sm10 · fluctuations/response/non-eq, in study order from foundations to the frontier.
Modules
- Brownian Motion
- The Langevin Equation
- The Diffusion Equation
- The Einstein Relation
- Wiener Process and White Noise
- Stochastic Calculus: Itô versus Stratonovich
- The Fokker-Planck Equation
- The Kramers-Moyal Expansion
- The Master Equation
- Kramers' Escape Rate Theory
- The Ornstein-Uhlenbeck Process
- The Fluctuation-Dissipation Theorem
- Linear Response Theory
- The Kubo Formula
- Response and Relaxation Functions
- Kramers-Kronig Relations
- Generalized Susceptibility and Spectral Functions
- The Onsager Reciprocal Relations
- Onsager Regression Hypothesis
- Thermodynamic Forces and Fluxes
- Entropy Production in Irreversible Processes
- The Green-Kubo Relations
- The Boltzmann Transport Equation
- The Collision Integral and Molecular Chaos
- The H-Theorem
- The Chapman-Enskog Expansion
- The BBGKY Hierarchy
- The BGK Relaxation-Time Approximation
- Irreversibility and the Loschmidt Paradox
- Mori-Zwanzig Projection Operator Formalism
- The Generalized Langevin Equation and Memory Effects
- Path Integral and Onsager-Machlup Action for Fluctuations
- Fluctuation Theorems
- Jarzynski Equality and Crooks Relation
- Stochastic Thermodynamics