Subject: Statistical Mechanics
Subject Code: 09020301
|S.N||Topic||Domain||Hours as per UGC|
|1||· Phase space
· Liouville’s theorem,
· Ensemble and Ensemble average.
· The microscopic and macroscopic states,
· Concept of equal a priori probability,
· statistical equilibrium,
· micro canonical ensemble,
· Quantization of phase space,
· Classic limit.
· Symmetry of wave functions.
|2||· The micro-canonical ensemble theory and its application to ideal gas of monatomic
· particles; canonical ensemble and its thermodynamics,
· partition function;
· classical ideal gas in canonical ensemble theory,
· energy fluctuations; Equipartition and Virial theorems,
· a system of quantum harmonic oscillators as canonical ensemble;
· Statistics of paramagnetism;
· The grand canonical ensemble and significance of statistical quantities,
· classical ideal gas in grand canonical ensemble theory;
· density and energy fluctuations.
|3||· Quantum states and phase space;
· an ideal gas in quantum mechanical ensembles;
· Ideal Bose system,
· basic concepts and thermodynamic behavior of an Ideal Bose gas;
· Bose-Einstein condensation; gas of photons (the radiation fields) and gas of photons (the Debye filed);
· Ideal Fermi systems;
· the thermodynamic behavior of an Ideal Fermi gas,
· discussion of heat capacity of a free electron gas at low temperatures;
· Pauli parameters,
· Boltzmann H-Theorem
Nice to know
|4||· a dynamical model of phase transitions,
· Critical indices,
· Ising model,
· Thermodynamic fluctuations,
· random walk
· Brownian motion,
· introduction to non-equilibrium processes,
· diffusion equation.
Nice to know
- R.K. Patharia. Statistical Mechanics. 2nd ed. Oxford: Butterworth-Heinemann.
- K. Huang. Statistical Mechanics. New Delhi: Wiley Eastern.
- B.K. Agarwal and M. Eisner. Statistical Mechanics. New Delhi: Wiley Eastern.
- C. Kittel. Elementary Statistical Physics. New York: John Wiley.
- S.K. Sinha. Statistical Mechanics. New Delhi: Tata McGraw Hill.
- Suresh Chandra. Textbook of Statistical Mechanics. New Delhi: CBS Publishers.