Hiroshima University Syllabus |

Japanese

Academic Year 2022Year School/Graduate School School of Engineering Lecture Code K6132020 Subject Classification Specialized Education Subject Name 熱・統計力学 Subject Name

（Katakana）ネツ・トウケイリキガク Subject Name in

EnglishThermodynamics and Statistical Mechanics Instructor NISHIDA MUNEHIRO Instructor

(Katakana)ニシダ ムネヒロ Campus Higashi-Hiroshima Semester/Term 3rd-Year, First Semester, 2Term Days, Periods, and Classrooms (2T) Fri5-8：ENG 102 Lesson Style Lecture Lesson Style

(More Details)Hybrid lectures Credits 2.0 Class Hours/Week Language of Instruction B : Japanese／English Course Level 3 : Undergraduate High-Intermediate Course Area（Area） 25 : Science and Technology Course Area（Discipline） 12 : Electronics Eligible Students 3rd year students of Cluster 2 (Electrical, Electronic and Systems Engineering) Keywords Microcanonical ensemble, Canonical ensemble, Grand canonical ensemble, Partition function, Entropy, Free energy, Fermi distribution function Special Subject for Teacher Education Special Subject Class Status

within Educational

ProgramMany advanced problems in the fields of electrical, computer and systems engineering relate to the electronics based of the electronic properties of solids. Therefore, the understanding ot the electronic properties is one of the important elements to solve the problems in these fields.

In this course, students will learn the fundamentals of Statistical Mechanics and Thermodynamics necessary to understand the electoronic properties of solids, and learn the basics of how to deal with various problems relating to electrons.Criterion referenced

EvaluationProgram of Electronic Devices and Systems

（Abilities and Skills）

・Concepts, knowledge and methods which are the basis for studies related to electronic engineering.Class Objectives

/Class OutlineThe objective of this class is to provide the basic knowledge of Statistical Mechanics and Thermodynamics which is necessary to understand electronic properties of solids.

Especially, students should be able to understand the following topics.

1. Concepts of microcanonical ensemble and entropy

2. Concept of canonical ensemble

3. Concept of grand canonical ensemble

4. Meaning and usage of partition function

5. Meaning and usage of Fermi distribution function

6. Concepts of free energies

Class Schedule lesson1: Basic concepts in Statistical Mechanics

principle of equal a priori probabilities, Stirling's formula

[short test] Stirling's formula

lesson2: Entropy 1

microcanonical ensemble, definition of entropy, absolute temperature

[short test] temperature at equilibrium

lesson3: Entropy 2

entropy of harmonic oscillators, adiabatic theorem, pressure of a gass

[short test] entropy

lesson4: Canonical ensemble and free energy 1

canonical ensemble, partition function, fluctuation of energy, specific heat

[short test] partition function and energy

lesson5: Canonical ensemble and free energy 2

Helmholtz free energy, principle of minimum free energy

[short test] partition function of harmonic oscillators

lesson6: Canonical ensemble and free energy 3

Gibbs free energy, state quantity, Legendre transformation

[short test] free energy

lesson7: Grand canonical ensemble and chemical potential 1

grand canonical ensemble, chemical potential, grand partition function

[short test] grand partition function

lesson8: Grand canonical ensemble and chemical potential 2

average and fluctuation of particle number, physical meaning of chemical potential

[short test] chemical potential

lesson9: Summary of the first half, Mid-term examination

lesson10: Lows of Thermodynamics

grand partition function and state quantities, thermodynamic functions, thermodynamic relations

[short test] thermodynamic relations

lesson11: Classical statistical mechanics and the law of equipartition of energy

approximation of classical statistical mechanics, ideal gass, law of equipartition of energy

[short test] approximation of classical statistical mechanics

lesson12: Fermi-Dirac statistics and free electron gass 1

quantum statistics, derivation of Fermi distribution function

[short test] free electron gass

lesson13: Fermi-Dirac statistics and free electron gass 2

free electron gass, Fermi momentum, Fermi energy

[short test] Fermi momentum, Fermi energy

lesson14: Applications of Statistical Mechanics 1

statistical mechanics of electrons in semiconductors

[short test] carrier density

lesson15: Applications of Statistical Mechanics 2

lattice vibrations of solids, Debye temperature, specific heat

[short test] lattice vibrationsText/Reference

Books,etc.Reference：

長岡洋介「統計力学」（岩波書店）

PC or AV used in

Class,etc.(More Details) Handouts. Please bring your PC to take online quizzes. Learning techniques to be incorporated Suggestions on

Preparation and

ReviewIt is necessary to review each class enough to solve the short tests given in every class by yourself.

It will help your understanding to read the following pages of the reference book before each lesson.

長岡洋介「統計力学」（岩波書店）

Lesson 1: p.1-17

Lesson 2: p.18-29

Lesson 3: p.50-60

Lesson 4: p.69-78

Lesson 5: p.78-86

Lesson 6: p.86-90

Lesson 7: p.167-170, 190-193

Lesson 8: p.170-173, 193-194

Lesson 9: mid-term examination

Lesson 10: p.90-96

Lesson 11: p.99-109, 115-119

Lesson 12: p.197-201, 206-209

Lesson 13: p.209-225

Lesson 14: p.226

Lesson 15: p.154-164Requirements Prerequisites: taking the class "Introduction to Physical Electronics" and having a basic knowledge of quantum mechanics.

Grading Method Your final grade will be based on the following: short tests (40%), mid-term online examination (30%), term-end online examination (30%).

If the condition of the COVID-19 infection is improved, a face-to-face exams may be conducted.Practical Experience Summary of Practical Experience and Class Contents based on it Message Office hour: 16:20-17:20 on every Friday Other Please fill in the class improvement questionnaire which is carried out on all classes.

Instructors will reflect on your feedback and utilize the information for improving their teaching.