京都大学 京都大学

Statistical Thermodynamics

Numbering Code U-ENG25 45073 LJ75
U-ENG25 45073 LJ57
U-ENG25 45073 LJ71 		Year/Term 2022 ・ Second semester
Number of Credits 2 Course Type Lecture
Target Year Target Student
Language Japanese Day/Period Tue.3
Instructor name MIYAKE MASAO (Graduate School of Energy Science Associate Professor)
Outline and Purpose of the Course In this lecture, fundamental ideas of Statistical Thermodynamics which is effective to microscopic understanding of macroscopic systems and some typical applications to condensed matter physics are presentaed.
Course Goals The goals of this lecture are both to understand fundamental idead of Statistical Thermodynamics and to study typical applications to condensed matter physics.
Schedule and Contents Outlines,1time,Basic ideas of Statistical Thermodynamics, thermal equilibrium, fundamentals of Statistics, means of measuremnts, ergodic theory.
Themodynamic functions,1time,Thermodynamic laws, thermodynamic functions, Legendre transform, Maxwell relations, Gibbs-Helmholtz equation, thermodynamic variation, phase equilibrium.
Ideal systems,4times,Phase space of movement, Liouville's theorem, micro canonical ensemble,Partition function, relation between Helmholtz free energy and Partition function,Principle of Boltzmann, simple applications of microcanonical ensamble (ideal gas, elastic of gum)
,1time,
Canonical ensemble,2times,Distribution with the maximum probability, Partition function, the 3rd law of thermodynamics, Gibbs's paradox, grand canonical ensamble.
Quantum statistics,2times,Grad canonical ensamble of quatum statistics, Fermion and Boson, Bose-Einstein statistics, Fermi-Dirac statistics,ideal Fermi gas, electron specific heat, ideal Bose gas, Bose-Einstein condensation.
Typical applications,4times,Systems with two levels, Schottly type specific heat, Statistics of photons, Planck's equation, one dimansional harmonic oscillation, Einstein model and specific heat of solid states.
Evaluation od goals,1time,Understanging of typical applications of statistic themodynamics and submission of homeworks.
Evaluation Methods and Policy Situation of voluntary submission of some reports and score of exam are totally evaluated.
Course Requirements Students are roughly expected to have mastered basics of mathematics, dynamics, elementary quantum mechanics, thermodynamics and statistics.
Textbooks Textbooks/References The textbook is not appointed. Writing on the blackboard is performed in every lecture.
References, etc. １．原島　鮮：「熱力学・統計力学」培風館， isbn{}{9784563021399}
２．N.スミス（小林宏・岩橋槇夫訳）：「統計熱力学入門－演習によるアプローチ－」東京化学同人， isbn{}{4807903225}
３．市村　浩：「統計力学」裳華房， isbn{}{4785321342}
４．市村　浩：「熱学演習―統計力学」裳華房， isbn{}{4785321350}
５．キッテル：「熱物理学」丸善， isbn{}{9784621027271}
６．沼居貴陽：「熱物理学・統計物理学演習」丸善， isbn{}{4621048570}
７・W.グライナー，L.ナイゼ，H.シュテッカー（伊藤伸泰，青木圭子訳）：「熱力学・統計力学」シュプリンガー， isbn{}{9784431100577}
８．久保亮五：「ゴム弾性」裳華房 isbn{}{478532807X}
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