Statistical Physics II University of Tsukuba
The fundamental concepts introduced in Statistical Physics I are applied to a few simple physical systems such as ideal gases. We derive the classical (Boltzmann) and quantum (Fermi-Dirac and Bose-Einstein) statistics from statistical ensembles. The fundamental principles underlying when extracting the maximum work from heat are clarified. Those principles are applied to simple systems such as (classical and quantum) ideal gas and conduction electrons in metals.
1. The students are able to construct the micro-canonical, canonical, grand- canonical ensembles and the corresponding statistical probabilities. 2. The students are able to derive the fundamental thermodynamic functions such as entropy, Helmholtz free energy, and thermodynamic potential from the statistical ensembles. 3. The students are able to calculate the pressure of an ideal gas from the Maxwell velocity distribution.
Related to 2. Understanding ability of physical phenomena.
Statistical Mechanics I Intro. to Single-Variable Calculus I & II, Advanced Calculus, Linear Algebra I & II, Probability and Statistics, Mechanics, Electromagnetism, Thermodynamics, Modern Physics
Homework & Class performance 30 % Final 70%
Fundamental equation and Gibbs-Duhem relationLegendre transformationOther fundamental equationsProperties of ideal gasThermodynamic coefficientsvan der Waals gasCanonical ensemblePartition function and Helmholtz free energyGrand-canonical ensembleT-p distribution and Gibbs free energy
Online Course Requirement
* You may discuss with other students for preparing the written homework. Yet, just “a copy-and-paste” will not be accepted. No late homework will be accepted. * All exams are closed book for in-class lecture. In the case of hybrid lecture, all exams are open book.
Site for Inquiry
Link to the syllabus provided by the university