Thermodynamics and Statistical Mechanics

Basic Postulates of thermodynamics of simple; homogeneous systems.

Basic Postulates of thermodynamics of simple; homogeneous systems; Thermodynamic potentials and stability of thermodynamic systems; Gibb's theory of thermodynamics with interaction effects; Partition functions of difference ensembles; Fundamental equilibrium theory; Liouville's theorem and the Ergodic hypothesis; Distribution Functions; entropy and connections with thermodynamics; Microcanonical; canonical and grand canonical ensembles; Boltzmann and Maxwell Boltzmann distribution phases and transitions; phenomenology of phase equilibria; First and second order transitions; Applications to classical and quantum systems; Boltzmann equation; Einstein transition probability; Random variables; Brownian motion and their applications; Universality and scaling Critical indices