Course title
117321902
Exercise on Thermodynamics and Statistical Mechanics

 NAKAMURA Tota

SAKANO Rui
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
  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.
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Report 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 report 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.
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 190minutes
2. The first law of thermodynamics II
A work in quasi-static process
What is a heat capacity? 		Finish writing report on given problems 190minutes
3. The first law of thermodynamics III
　A heat capacity of ideal gas
　An adiabatic process 		Finish writing report on given problems 190minutes
4. The second law of thermodynamics I
Carnot cycle and entropy 		Finish writing report on given problems 190minutes
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 190minutes
6. The second law of thermodynamics III
Irreversibility and entropy
A microscopic description for entropy 		Finish writing report on given problems 190minutes
7. Thermodynamic functions
A free energy
A thermodynamic equality
A phase and an equilibrium 		Finish writing report on given problems 190minutes
8. Classical statistical physics
Microcanonical ensembles and canonical ensembles
Formulation for statistical physics
Boltzmann's principles 		Finish writing report on given problems 190minutes
9. Application of canonical statistical physics I
　A two-level system 		Finish writing report on given problems 190minutes
10. Application of canonical statistical physics II
　An ideal gas 		Finish writing report on given problems 190minutes
11. Application of canonical statistical physics III
　An ideal gas as Gibbs pardox
DNA and zipper model 		Finish writing report on given problems 190minutes
12. Application of canonical statistical physics IV
　A classical harmonic oscillator 		Finish writing report on given problems 189minutes
13. Application of canonical statistical physics V
A quantum harmonic oscillator (Einstein model) 		Finish writing report on given problems 190minutes
14. Summary and discussion
Some extra topics

What is thermodynamic and statistical physics? 		Finish writing report on given problems 189minutes
Total. - - 2658minutes
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class
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 with differentiation and integration of various functions (log, exp, sin, cos and their combinations)
One must be very familiar with the energy and potentials in classical mechanics.
One must be familiar with the total differentiation and the partial differentiation.
Must have received credit for Mechanics or Introduction to physics.
Office hours and How to contact professors for questions
  • 30 minutes after the class in the classroom.
    Please contact before visiting.
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
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Thu Feb 27 10:39:17 JST 2025