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Concept

Mean-field theory

Related lectures (32)

Random Field Ising Model: Overview and Analysis

Provides an in-depth analysis of the Random Field Ising Model, covering model description, free entropy, and mean field algorithm.

Statistical Models: Unitary Conformal Field Theories

Covers the connection between statistical models and unitary conformal field theories, focusing on critical points and the role of local fields.

Statistical Field Theory

Covers the basics of statistical field theory, focusing on Ising models and the Ginsburg-Landau theory.

Turbulence in Astrophysics: Reynolds Decomposition

Covers the modeling of fluid instabilities with linear perturbation theory and explores the origin of unpredictability in turbulence through the Navier-Stokes equations.

The Curie-Weiss Model: Overview and Applications

Covers the Curie-Weiss model, discussing its theoretical foundations and practical applications in physical systems.

Transition Probabilities in Perturbation Theory

Explores transition probabilities in first-order perturbation theory with time-dependent perturbations and disturbance theory.

Renormalization Group in Field Theory

Explores the Renormalization Group in field theory, discussing scaling functions, critical exponents, and Gaussian fixed points.

Local Fields and Correlations in Ising Models

Covers local fields and correlations in Ising models and conformal field theory.

Spin glass transition

Explores the frustration in spin glass transition, the challenges in finding global minima, and the qualitative aspects of the phase transition.

Second Order Perturbation Transition Probabilities

Explores second-order perturbation theory in quantum physics for transition probabilities and rates.

Random Field Ising Model on Graphs

Explores the Random Field Ising Model on random graphs, discussing belief propagation updates and population dynamics.

Kuramoto Model: Phase Synchronization and Critical Coupling

Explores the Kuramoto model, discussing phase synchronization and critical coupling in oscillator populations.

Variational Method in RFIM

Explores the variational method in the Random Field Ising Model, discussing the cost function, algorithmic questions, Gibbs inequality, and the Gibbs free energy.

Replica Field Theory: Cavity and Replica Method

Explains the Replica Field Theory in RFIM, emphasizing the Cavity and Replica methods and the exponential dominance of certain values.

Active Matter: Cell Dynamics and Modeling

Explores cell dynamics in active matter, focusing on motility, polarity, and signaling pathways in biological systems.

Correlation Functions in Loop Models: Structural Assumptions

Covers correlation functions in loop models and the role of degenerate fields in conformal field theory.

Statistical Physics: Spin Glasses & Optimization

Explores the Curie-Weiss model, spin glasses, and optimization problems in statistical physics.

Statistical Physics of Learning

Offers insights into the statistical physics of learning, exploring the relationship between neural network structure and disordered systems.

Curie-Weiss Model: Magnetization and Phase Transition

Explores the Curie-Weiss model, magnetization, and phase transitions in materials.

Random Field Ising Model

Covers the Random Field Ising Model, discussing the concept of disorder and the process of finding the ground state.