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.
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.
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.
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.
- 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.
| Report and Note | Total. | |
|---|---|---|
| 1. | 10% | 10% |
| 2. | 10% | 10% |
| 3. | 30% | 30% |
| 4. | 15% | 15% |
| 5. | 35% | 35% |
| Total. | 100% | - |
Report and notebook point (100%)
This point must exceed 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.
This point must exceed 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.
| 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) |
190minutes |
| 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) |
190minutes |
| 3. | The first law of thermodynamics III A heat capacity of ideal gas An adiabatic process |
Ideal gas (Textbook p.38-42) |
190minutes |
| 4. | The second law of thermodynamics I Carnot cycle and entropy |
Carnot cycle (Textbook p.46-50) |
190minutes |
| 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) |
190minutes |
| 6. | The second law of thermodynamics III Irreversibility and entropy A microscopic description for entropy |
Entropy change and its increase (Textbook p.63-67) |
190minutes |
| 7. | Thermodynamic functions A free energy A thermodynamic equality A phase and an equilibrium |
Free energy Chemical potential (Textbook p.74-76, 82-83) |
190minutes |
| 8. | Classical statistical physics Microcanonical ensembles and canonical ensembles Formulation for statistical physics Boltzmann's principles |
Canonical ensemble (Textbook p.108-113) |
190minutes |
| 9. | Application of canonical statistical physics I A two-level system |
Two-level system (Textbook p.141-143, 148-149) |
190minutes |
| 10. | Application of canonical statistical physics II An ideal gas |
Gauss integration (Textbook p.115-116) |
190minutes |
| 11. | Application of canonical statistical physics III An ideal gas as Gibbs pardox DNA and zipper model |
Gibbs paradox (Textbook p.134-136) |
190minutes |
| 12. | Application of canonical statistical physics IV A classical harmonic oscillator |
Harmonic oscillator (Textbook p.148) |
190minutes |
| 13. | Application of canonical statistical physics V A quantum harmonic oscillator (Einstein model) |
Harmonic oscillator (Textbook p.149) |
190minutes |
| 14. | Summary and discussion Some extra topics, if possible. What is thermodynamic and statistical physics? |
All of this lecture | 190minutes |
| Total. | - | - | 2660minutes |
| ways of feedback | specific contents about "Other" |
|---|---|
| Feedback in the class |
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
・「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
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.
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.
- 30 minutes after the lecture in the classroom.
Please contact before visiting.
- Course that cultivates an ability for utilizing knowledge
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A | N/A |
Last modified : Thu Feb 27 10:39:14 JST 2025