Course title
021342011
Thermal and Statistical Mechanics

 takagahara toshihide Click to show questionnaire result at 2019

tomita yusuke Click to show questionnaire result at 2018

nakamura tota Click to show questionnaire result at 2019

maeda kengo Click to show questionnaire result at 2018
Course description
Thermodynamical and statistical physics is one of the most important study in engineering. If you want to participate in industry as an engineer, you must learn and understand its basic philosophy, technical terms, and how the idea is applied to real substances. It involves in heat efficiency, environment, and material sciences, which are well-known applications of this study. Recently, it extends its application to various new field such as information science, economy, social science, and biology. Therefore, a need for this study is increasing very much.

The first part of this lecture deals with the thermodynamics. It studies thermal phenomena from the macroscopic point of view. We learn two novel laws of thermodynamics in this part. The internal energy, entropy, and free energy are typical keywords here. The second part is the statistical physics. It studies thermal phenomena from the microscopic point of view. We connect a realization of a thermal state with the probability. Entropy is defined by a logarithms of a realization number. We learn how the microscopic state and its energy contribute to the thermal state. The partition function is the most important keyword here. Various physical quantities are deduced from the partition function.
Purpose of class
To understand The First Law of Thermodynamics and The Second Law of Thermodynamics.
To solve real problems about heat using these laws, particularly heat efficiency of a heat engine.
To understand the principle of Boltzmann statistics: a realization of thermal state has the maximum of its probability.
To solve real problems about the statistical physics: calculations of a partition function, free energy, internal energy, heat capacity.
Goals and objectives
  1. One can explain what is a basic law of thermodynamics, what is temperature, what is entropy, and what is a free energy.
  2. One can calculate a work in quasi-static process and a heat capacity of an ideal gas.
  3. One can explain Carnot cycle, and can explain its efficiency.
    One can also apply it to various heat engine.
  4. One can explain the principles of statistical physics.
  5. One can calculate various physical quantities on two-level systems, on ideal gas, an on harmonic oscillator.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. The first law of thermodynamics I
What is a temperature?
What is a heat? 		Equation for an ideal gas
The first law of thermodynamics
(Textbook p. 7-31) 		45minutes
2. The first law of thermodynamics II
A work in quasi-static process
What is a heat capacity? 		Differentiations and integrations of logarithmic functions
Partial differentiations
(Textbook p.32-38) 		45minutes
3. The first law of thermodynamics III
　A heat capacity of ideal gas
　An adiabatic process 		Ideal gas
(Textbook p.38-42) 		45minutes
4. The second law of thermodynamics I
Carnot cycle and entropy 		Carnot cycle
(Textbook p.46-50) 		45minutes
5. The second law of thermodynamics II
Reversible and irreversible
Flow chart of energy and entropy
Heat efficiency of various engines 		Heat engine and heat pomp
(Textbook p.51-52) 		45minutes
6. The second law of thermodynamics III
Irreversibility and entropy
A microscopic description for entropy 		Entropy change and its increase
(Textbook p.63-67) 		45minutes
7. Thermodynamic functions
A free energy
A thermodynamic equality
A phase and an equilibrium 		Free energy
Chemical potential
(Textbook p.74-76, 82-83) 		45minutes
8. Classical statistical physics
Microcanonical ensembles and canonical ensembles
Formulation for statistical physics
Boltzmann's principles 		Canonical ensemble
(Textbook p.108-113) 		45minutes
9. Application of canonical statistical physics I
　A two-level system 		Two-level system
(Textbook p.141-143, 148-149) 		45minutes
10. Application of canonical statistical physics II
　An ideal gas 		Gauss integration
(Textbook p.115-116) 		45minutes
11. Application of canonical statistical physics III
　An ideal gas as Gibbs pardox
DNA and zipper model 		Gibbs paradox
(Textbook p.134-136) 		45minutes
12. Application of canonical statistical physics IV
　A classical harmonic oscillator 		Harmonic oscillator
(Textbook p.148) 		45minutes
13. Application of canonical statistical physics V
A quantum harmonic oscillator (Einstein model) 		Harmonic oscillator
(Textbook p.149) 		45minutes
14. Summary and discussion
What is thermodynamic and statistical physics? 		All of this lecture 60minutes
Total. - - 645minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Report and Exam Total.
1. 10% 10%
2. 10% 10%
3. 30% 30%
4. 15% 15%
5. 35% 35%
Total. 100% -
Evaluation method and criteria
Report point (100%)

A point exceeds 60%
If you understand what is written in a textbook and if you can solve questions in a textbook,
you probably can get 60% in a final score.
Textbooks and reference materials
Textbook
・「ゼロからの熱力学と統計力学」　和達三樹、十河清、出口哲生著　岩波書店

Reference book
"Thermal physics" 2nd. Ed. C. Kittel
Prerequisites
One must be very familiar about differentiations and integration of various functions (log, exp, sin, cos and their combinations)
One must be very familiar about the energy and potentials in classical mechanics.
Office hours and How to contact professors for questions
  • lunch break on Monday
    please contact before visiting
Relation to the environment
Environment-related course (10%)
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
About half of the classes are interactive
Last modified : Fri Aug 28 04:11:15 JST 2020