Media Storage Type : DVD-ROM
NPTEL Course Name : Advanced Statistical Mechanics
NPTEL Subject Matter Expert : Dr. S.B. Santra
NPTEL Co-ordinating Institute : IIT Guwahati
NPTEL Lecture Count : 46
Lecture Titles:
Lecture 1 - Specification of macrostates and microstates
Lecture 2 - Statistical ensembles
Lecture 3 - Thermodynamics in different ensembles
Lecture 4 - Nature of Particles and Statistics
Lecture 5 - Thermodynamic Stability, positive response function and convexity of free energy
Lecture 6 - Continuous Phase transition or Critical phenomena
Lecture 7 - Morphology, fluctuation and correlation
Lecture 8 - Correlation in terms of fluctuation and response
Lecture 9 - Critical exponents
Lecture 10 - Values of Critical exponents and their characteristics
Lecture 11 - How to proceed?
Lecture 12 - Spin-1/2 Ising Model
Lecture 13 - Two dimensional Ising Model
Lecture 14 - Spin-1 Ising Model
Lecture 15 - Models and universality
Lecture 16 - Mean field theory for Fluids
Lecture 17 - Determination of critical point and the critical exponents
Lecture 18 - Mean field theory for magnetic systems
Lecture 19 - Solution of Mean field equation of state
Lecture 20 - Determination of Mean field critical exponents
Lecture 21 - Critical exponents of correlation length and correlation function
Lecture 22 - Bethe approximation
Lecture 23 - Bethe approximation for Ising model on 2-dimensional square lattice
Lecture 24 - Landau theory of phase transition
Lecture 25 - Critical behavior with Landau potential
Lecture 26 - The methodology
Lecture 27 - Eigenvalues and eigenvectors of T
Lecture 28 - Isothermal susceptibility
Lecture 29 - Example-1
Lecture 30 - Example-2
Lecture 31 - High Temperature series expansion
Lecture 32 - Two-dimensional Ising Model
Lecture 33 - Duality transformation and Determination of Tc
Lecture 34 - Extrapolation methods of a series
Lecture 35 - Monte Carlo Technique for Physical Systems
Lecture 36 - Markov chain
Lecture 37 - MC simulation of Ising Model
Lecture 38 - Measurements
Lecture 39 - Homogeneous Function
Lecture 40 - Scaling hypothesis and Free energy function
Lecture 41 - Renormalization Group (RG)
Lecture 42 - RG Operation
Lecture 43 - Free Energy as generalized homogeneous function
Lecture 44 - Determination of critical exponents
Lecture 45 - Application of RG to 1-d spin 1/2 Ising Model
Lecture 46 - Determination of fixed point