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Colleges

Statistical physics

Course Description: Probability, Discrete Random Variables, Some Important Probability Distributions, Multiple Random Variables, Sum of Random Variables and the Central Limit Theorem, Laws of Large Numbers, Entropy, and the Kinetic Theory of Gases, Maxwell's Distribution of Gas Molecule Velocities and its Applications; Energy Distribution Function for Molecules; Liouville's Theorem, Equilibrium Properties, Microcanonical Ensemble, Two-Level System, Ideal Gas, Entropy of Mixing and Gibbs Paradox, Canonical Ensemble with Examples, Canonical Ensemble of Gibbs, Grand Canonical Ensemble, Quantum Statistical Mechanics, Maxwell-Boltzmann Distribution, Bose-Einstein Distribution, Fermi-Dirac Distribution, Crystal Vibration and Phonon Gas, Blackbody Radiation, Microscopic State Space, Macroscopic State Space, Quantum Ideal Gases, Hilbert Space of Identical Particles, Formulation of the Canonical Ensemble, Formulation of the Grand Canonical Ensemble, Degenerate Fermi Gas, Degenerate Bose Gas.
Credit hours: 3
Prerequisites: PHYS 243
Objectives of the course :

The course aims to provide students with the fundamentals of dealing with many-particle systems and measuring their physical quantities using classical and quantum statistical methods.

Course outputs :

At the end of the course, the student should be able to do the following:
1- Dealing with statistical systems containing a large number of particles.
The student will be able to differentiate between micro-clusters and standard macro-clusters.
The ability to use or apply various statistical distributions, traditional or quantitative, to solve thermal system problems.
4. Acquiring mathematical skills related to counting methods, Stirling's approximation, the Lagrange multiplier method, converting summations to integrals, and integrals involving the Fermi-Dirac and Bose-Einstein distributions.

Additional information:

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