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Course11510892845 lectures

Statistical Mechanics of Phases and Phase Transitions

Prof. Vijay Balakrishna Shenoy · IISc Bangalore

Start with lecture 1 At NPTEL

Lectures

Week 1 Introduction

  1. Introduction Video
  2. Review of Prerequisites Video
  3. Models, Symmetries, and Scales 1 Video
  4. Models, Symmetries, and Scales 2 Video

Week 2 Phenomenology

  1. Characterization of Phases Video
  2. Fields and Grounds States Video
  3. Interacting Particles Model Video
  4. Liquid-Gas Phase Diagram Video

Week 3 1D Ising

  1. Monte Carlo Method Video
  2. Ising Model Monte Carlo Video
  3. Analytical Solution to Ising Model Video
  4. Transfer Matrix Approach Video

Week 4 2D Ising

  1. Domain Wall Excitations in 2D Video
  2. 2D Ising Dual Video
  3. Series Expansion I Video
  4. Series Expansion II Video

Week 5 Quantum Models

  1. Quantum Models Video
  2. Transverse Field Ising Model Video
  3. TFIM Ground State Video
  4. Perturbation Theory of TFIM Video

Week 6 TFIM Solution

  1. Approximate Methods Video
  2. Variational Principle in Action Video
  3. Mean Field Theory Video
  4. Mean Field Theory in Action Video

Week 7 Non-Perturbative Approximate Methods

  1. Bose Condensation Video
  2. ⁴He and ³He Mixture - Blume-Emery-Griffiths Model Video
  3. Landau's Phenomenological Approach to Ising Model Video

Week 8 Bose Condensation

  1. Landau's Phenomenological Approach for Ising Tricriticality Video
  2. Landau Theory for Continuous Symmetry Video
  3. Landau-Ginzburg (LG) Theory Video

Week 9 Phenomenological Theories I

  1. Functional Integral and Free Energy Video
  2. Saddle Point Gaussian Approximation (SPGA) Video
  3. LG-SPGA and Excitations Video
  4. LG-SPGA and Correlations Video

Week 10 Phenomenological Theories II

  1. Scaling Hypothesis Video
  2. Renormalization Group (RG) Video
  3. Real Space RG - 1D Ising Model Video
  4. Real Space RG - 2D Ising Model Video

Week 11 The Renormalization Group

  1. Wilsonian RG - Gaussian Theory Video
  2. Wilsonian RG - O(n) LG Theory Video
  3. Beyond Gaussian - O(n) LG Theory Video
  4. Wilsonian RG - O(n) Non-Linear Sigma Model Video
  5. 2D XY Model - Kosterlitz-Thouless Transition Video
  6. Special Topics-1: Quantum Memories Video
  7. Special Topics-2: Associative Memories - Hopfield Model Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IISc Bangalore
Department
Physics
Teacher
Prof. Vijay Balakrishna Shenoy
Level
Undergraduate
Language
English
Subjects
Physics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
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