Learn · Statistical Mechanics of Phases and Phase Transitions
Lecture 27 of 45Week 7 Non-Perturbative Approximate Methods
Landau's Phenomenological Approach to Ising Model
Prof. Vijay Balakrishna Shenoy · IISc Bangalore
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- Statistical Mechanics of Phases and Phase Transitions, IISc Bangalore (at NPTEL)
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All the lectures
- Introduction
- Review of Prerequisites
- Models, Symmetries, and Scales 1
- Models, Symmetries, and Scales 2
- Characterization of Phases
- Fields and Grounds States
- Interacting Particles Model
- Liquid-Gas Phase Diagram
- Monte Carlo Method
- Ising Model Monte Carlo
- Analytical Solution to Ising Model
- Transfer Matrix Approach
- Domain Wall Excitations in 2D
- 2D Ising Dual
- Series Expansion I
- Series Expansion II
- Quantum Models
- Transverse Field Ising Model
- TFIM Ground State
- Perturbation Theory of TFIM
- Approximate Methods
- Variational Principle in Action
- Mean Field Theory
- Mean Field Theory in Action
- Bose Condensation
- ⁴He and ³He Mixture - Blume-Emery-Griffiths Model
- Landau's Phenomenological Approach to Ising Model
- Landau's Phenomenological Approach for Ising Tricriticality
- Landau Theory for Continuous Symmetry
- Landau-Ginzburg (LG) Theory
- Functional Integral and Free Energy
- Saddle Point Gaussian Approximation (SPGA)
- LG-SPGA and Excitations
- LG-SPGA and Correlations
- Scaling Hypothesis
- Renormalization Group (RG)
- Real Space RG - 1D Ising Model
- Real Space RG - 2D Ising Model
- Wilsonian RG - Gaussian Theory
- Wilsonian RG - O(n) LG Theory
- Beyond Gaussian - O(n) LG Theory
- Wilsonian RG - O(n) Non-Linear Sigma Model
- 2D XY Model - Kosterlitz-Thouless Transition
- Special Topics-1: Quantum Memories
- Special Topics-2: Associative Memories - Hopfield Model