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Statistical Mechanics
Week 6: Lecture 16,17 and18; Phase Space, Ensembles, Liouvillie theorem
Week 6: Lecture 16,17 and18; Phase Space, Ensembles, Liouvillie theorem
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Course Material
Week 1: Lecture 1, 2 and 3. Review of thermodynamics
Week 2 : Lecture 4,5 and 6: Mathematical formulation of first and second law of thermodynamics
Week 3: Lecture 7,8 and 9, Maxwell’s relation, Reduction of derivatives, General conditions of equilibrium.
Week 4: Lecture 10,11 and12; Partition Function, Relations of partition function with thermo dynamical variables, examples (collection of simple harmonic oscillators, half spin paramagnet
Week 5: Lecture 13,14 and15; Basic Principles of statistical Mechanics: Microscopic and macroscopic states.
Week 6: Lecture 16,17 and18; Phase Space, Ensembles, Liouvillie theorem
Week 7: Lecture 19,20 and 21; Formation of Micro canonical, Canonical and Grand canonical partition function
Week 8: Lecture 22,23 and 24; Maxwell distribution of molecular speed: Probability of the particle in quantum state
Week 9: Lecture 25,26 and 27; Density of states in k-space, single particle density of states in energy, Maxwell-Boltzmann Distribution Function
Week 10: Lecture, 28, 29 and 30; Validity of Maxwell-Boltzmann statistics, Evaluation of constants α and β, Maxwell Speed distribution function
Week 11: Lecture 31,32 and 33; Theory of ideal Fermi System: Fermi-Dirac Distribution Function
Week 12: Lecture 34,35 and36; Examples of the Fermi system (free electron theory of metals, Electrons in stars, electrons in white dwarf stars)
Week 13: Lecture 37,38 and39; Theory of Bose System: Bose-Einstein Distribution Function
Week 14: Lecture 40, 41 and 42; Black body radiation, the photon gas, ideal Bose gas model of liquid helium
Week 15: Lecture 43,44 and 45; Einstein’s model of vibration in a solids
Week 16: Lecture 46,47 and 48; Debye’s model of vibration in a solids
Chapters
16
Department
Physics
Teacher
Dr. Muhammad Akram