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  • 1:29 PM, Tuesday, 21 Sep 2021


Course Undergraduate
Semester Sem. VI
Subject Code PH321
Subject Title Statistical Mechanics

Syllabus

Preliminary concepts, probability theory, random walk problem, Laws of thermodynamics and their consequences.

Phase space, Liouville's theorem and its consequences, Statistical description of system of particles, microstates, ensembles, basic postulates, density of state for ideal gas in classical limit, thermal and mechanical interactions, quasi-static process.

Microcanonical ensembles and their equivalence, canonical ensembles, partition functions, ideal gas, Gibbs paradox, equipartition theorem, M-B gas velocity and speed distribution, chemical potential, free energy and connection with thermodynamic variables, 1st and 2nd order phase transition.

Statistical thermodynamics, irreversibility and attainment of equilibrium, reversible and irreversible processes, approach to thermal equilibrium, statistical calculation of thermodynamic variables.

Thermodynamics of black body radiation, Stefan-Boltzmann law, Wien's displacement law, Einstein and Debye’s theories of  specific heat of solids.

Maxwell, Boltzmann, Bose-Einstein, Fermi-Dirac gases, statistics of occupation numbers, evaluation of partition functions, ideal gases in the classical limit, Ideal Bose system, Bose-Einstein condensation.

Formulation of quantum statistics, density matrix, ensembles in quantum statistical mechanics, simple application of density matrix

Text Books

Same as Reference.

References

1.    Pathria, R. K - Statistical Mechanics Pergamon Press, Oxford.

2.    Huang, K - Statistical Mechanics, 2nd Ed, John Wiley.  

3.    Laud, B. B - Fundamentals of Statistical Mechanics, New Age.

4.    Greiner - Thermodynamics and Statistical Mechanics, Springer Verlag.

5.    Liboff, R. L - Kinetic Theory, Classical, Quantum, and Relativistic Descriptions, Prentice Hall, 1990.

6.    Kubo, R, M. Toda and N. Hashitsume - Statistical Physics Vol. II, Non Equilibrium Statistical Mechanics Springer Verlag, 1985.

7.    Yeomans, J. M - Statistical Mechanics of Phase Transitions, Clarendon Press, 1994

8.    Boon, J. P & S Yip - Molecular Hydrodynamics, Dover Pub. 1991.

Salinas, S. R. A - Introduction to statistical physics, Springer 2001.