Nonequilibrium Statistical Mechanics

Stochastic Thermodynamics of Computation

One of the most prominent aspects of computers is that they are inherently nonequilibrium systems, described by Landauer and co-workers was done when non-equilibrium statistical mechanics were still in infancy, leading them to focus on the number of times a bit is erased during a computation — an issue having little bearing on the central concerns of computer science theorists.

(edit) Topics in Statistical Mechanics and Thermodynamics x (📁) Fundamentals Ensemble Theory • Canonical Ensemble • Microcanonical Ensemble • Grand Canonical Ensemble • Phase Space • Partition Function • Equiparition Theorem • Boltzmann Distribution • Entropy • Free energy (Gibbs, Helmholtz • Enthalpy • Thermodynamic potentials • Thermodynamic equilibrium • Laws of Thermodynamics Phase Transitions First Order Phase Transition • Second Order Phase Transition • Critical Exponents • Renormalization Group • RG flow • Scaling Theory • Universality Classes • Phase transition • Critical point • Order Parameter • Correlation Function • Universality • Hysteresis • Non-Equilibrium Phase Transitions • Kosterlitz-Thouless Transition • Symmetry Breaking • Ergodicity Breaking • Replica Symmetry Breaking Dynamical Systems Stochastic processes • Irreversible Process • Adiabatic process • Isothermal process • Onsager Relations • Linear response theory • Fluctuation-dissipation theorem • Brownian motion • Fokker-Planck equation • Langevin equation • Master equation • Hopf decomposition Disordered Systems Spin glass • Random field Ising model • Griffiths phase • Percolation theory • Localization Models Ising Model • Landau Theory • Curie-Weiss Model • Bragg-Williams Approximation • Spin glass • Random field Ising model • Quenched disorder • Annealed disorder • Griffiths phase • Percolation theory • Localization • Hopfield Networks • Attractor Networks Computational Methods Monte Carlo Simulations • Molecular Dynamics Simulations • Mean-Field Simulations • Percolation Algorithms • Tensor Networks • Path Integral Methods • Quantum Annealing • Simulated Annealing Advanced Topics Neural Mean Field Theory • Energy-Based Models • Statistical Mechanics of Deep Learning • Topological Mean-Field Theory • Order Parameter-Based Theory • Generalized Rigidity • Emergence in Statistical Mechanics • Anderson Localization • Jammed Systems • Jammey Transitions • Gibbs Measures • Metastable States • Glassy Dynamics • Lyapunov Functions • Synchronization Phenomena • Self-Organized Criticality • Complex Systems in Statistical Mechanics • Information Theory in Statistical Mechanics • Quantum Statistical Mechanics • Geometric Deep Learning • Topological Data Analysis in Statistical Mechanics • Statistical Field Theory • Variational Methods in Statistical Mechanics • Effective Field Theory • Coarse-Graining Methods • Stochastic Optimization • Bayesian Inference in Statistical Mechanics • Maximum Entropy Methods• Statistical Mechanics of Coupled Networks • Statistical Mechanics of Social Networks • Statistical Mechanics of Financial Markets • Statistical Mechanics of Epidemics • Statistical Mechanics of Traffic Flow • Statistical Mechanics of Ecosystems