Exercises in Thermal and Statistical Mechanics

Course title

02134301

	takagahara toshihide
	tomita yusuke
	nakamura tota
	maeda kengo

Course description

This is an exercise course for elementary thermodynamics and statistical physics. This class is open just after the lecture class by the same teacher. Students work on various problems and they must write report in every week.

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

One can explain what is a basic law of thermodynamics, what is temperature, what is entropy, and what is a free energy.
One can calculate a work in quasi-static process and a heat capacity of an ideal gas.
One can explain Carnot cycle, and can explain its efficiency.
One can also apply it to various heat engine.
One can explain the principles of statistical physics.
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?	Finish writing report on given problems	45minutes
2.	The first law of thermodynamics II A work in quasi-static process What is a heat capacity?	Finish writing report on given problems	45minutes
3.	The first law of thermodynamics III 　A heat capacity of ideal gas 　An adiabatic process	Finish writing report on given problems	45minutes
4.	The second law of thermodynamics I Carnot cycle and entropy	Finish writing report on given problems	45minutes
5.	The second law of thermodynamics II Reversible and irreversible Flow chart of energy and entropy Heat efficiency of various engines	Finish writing report on given problems	45minutes
6.	The second law of thermodynamics III Irreversibility and entropy A microscopic description for entropy	Finish writing report on given problems	45minutes
7.	Thermodynamic functions A free energy A thermodynamic equality A phase and an equilibrium	Finish writing report on given problems	45minutes
8.	Classical statistical physics Microcanonical ensembles and canonical ensembles Formulation for statistical physics Boltzmann's principles	Finish writing report on given problems	45minutes
9.	Application of canonical statistical physics I 　A two-level system	Finish writing report on given problems	45minutes
10.	Application of canonical statistical physics II 　An ideal gas	Finish writing report on given problems	45minutes
11.	Application of canonical statistical physics III 　An ideal gas as Gibbs pardox DNA and zipper model	Finish writing report on given problems	45minutes
12.	Application of canonical statistical physics IV 　A classical harmonic oscillator	Finish writing report on given problems	45minutes
13.	Application of canonical statistical physics V A quantum harmonic oscillator (Einstein model)	Finish writing report on given problems	45minutes
14.	Summary and discussion What is thermodynamic and statistical physics?	Finish writing report on given problems	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% or above 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

Most classes are interactive

Last modified : Fri Aug 28 04:11:20 JST 2020