Review of concepts of the kinetic theory of gases.
Distribution of Maxwell velocities. Maxwell-Boltzmann distribution.
Review of concepts in Classic Mechanics and Quantum Mechanics.
Introduction to the concept of probability in Classic Statistical Mechanics and in Equilibrium Quantum Statistical Mechanics
Entropy and essential postulate of Statistical Mechanics. Types of distribution of probability in Equilibrium Statistical Mechanics: micro-canonical, canonical and grand-canonical. Deduction of Boltzmann formula in the micro-canonical distribution and Nernst’s interpretation.
Brief review of Equilibrium Thermodynamics.
Partition function in the canonical distribution. Applications of canonical distribution to the study of thermodynamics properties of physical systems: perfect gas and two energy level quantum system. Analysis of the characteristic curve of Schottky specific heat.
Statistical description of Einstein solid in the context of micro-canonical and canonical distributions. Dulong-Petit law. Rotational and vibrational degrees of freedom in diatomic molecules.
Grand-canonical ensemble and its partition function. Thermodynamic potentials that are associated with grand-canonical partition function.
Distinguishable and undistinguishable particles. Monoatomic ideal gas in the context of grand-canonical ensemble.
Entropy of an ideal gas and Gibbs paradox. Fermi and Bose Particles.
Bose-Einstein statistics and Bose-Einstein condensation. Fermi-Dirac distribution.
Planck distribution. Photon gas. Black Body Radiation.
Bibliography of reference
BOWLEY, R.; SÁNCHEZ, M. (1996). Introductory Statistical Mechanics. Clarendon Press.
SCHROEDER, D. (1999). An introduction to Thermal Physics. Addison Wesley Longman.
AMIT, D.; VERBIN, Y. (1999). Introductory Course in Statistical Mechanics. World Scientific.
SALINAS, S. (2001). Introduction to Statistical Physics. Springer.
PATHRIA, R. (1996). Statistical Mechanics. 2.ª ed. Butterworth-heinemann.
MANDL, F. (1998). Statistical Mechanics. 2ª ed. John Wiley & Sons.
REIF, F. (1965). Statistical Physics. McGraw-Hill.
FLIESSBACH, T. (2000). Curso de Física Estatística. Fundação C. Gulbenkian.