Credits: 4 (3-1-0)
Prerequisites: PYL122
Description
Elementary Probability Theory: Binomial, Poisson and Gaussian Distribution, random walk problem, central limit theorem and its significance, average and distributions; diffusion and Brownian motion and their relation to random walk problem; Macrostate and microstate, Postulates of Statistical Mechanics, rules of calculations through microcanonical, canonical and grand canonical ensembles; Derivation of the thermodynamic relations from the statistical mechanics ; Application to classical systems: Systems of ideal gas molecules, Maxwell Boltzmann velocity distribution, paramagnetism of non interacting spins; specific heat of solids; Concept of Thermodynamic stability and Phase Transition: Vander Waal equation of state, Ising model, critical exponents; Indistinguishability of particles and Quantum Statistical Mechanics; Bose Einstein and Fermi-Dirac distribution: Black Body radiation, Bose Einstein Condensation, Fermi level and electronic contribution to specific heat, White Dwarf stars and Chandrasekhar Limit.
Prerequisite Tree
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PYL202-626[PYL202]
PYL202-626 --> PYL122-626[PYL122]
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