Statistical Mechanics II

contents and references

Contents

1- Statistical mechanics of phase transition

i) Thermodynamic of phase transition (Van der Waals gas)

ii) Lattice models, Ising model, exact solution on a chain

iii) Mean field approximation

iv) Scaling hypothesis

v) Renormalization group

vi) Monte Carlo simulation

Metropolis algorithm for 2D Ising model (Thanks to students, Akbari and Exirifard)

1- Kinetic theory, Boltzmann equation

2- Non-equilibrium statistical mechanics (Stochastic processes)

i) Brownian motion

ii) Random walk

iii) Master equation

iv) Fokker-Planck equation

v) Langevin equation

vi) Fluctuation-dissipation theorem

3- Cluster expansion

i) Dense gases and liquids

ii) Virial expansion

References

I- Statistical Mechanics (K. Huang)

II- Statistical Mechanics ( R. K. Pathria)

III- Statistical Physics II (R. Kubo, M. Toda and N. Hashitsume)

IV- Equlibrium Statistical Physics (M. Plischke and B. Bergersen)

V- Introduction to Modern Statistical Mechanics (D. Chandler)

VI- A Modern Course in Statistical Physics (L. E. Reichl)

VII- The Fokker-Planck Equation (H. Risken)

VIII- Kinetic Theory (R. L. Liboff)

IX- Statistical Mechanics (S-K. Ma)