Course title
統計力学   [Statistical Thermodynamics]
Course category technology speciality courses,ets.  Requirement   Credit 2 
Department   Year 34  Semester 1st 
Course type 1st  Course code 023302
Instructor(s)
下村 武史   [SHIMOMURA Takeshi]
Facility affiliation Faculty of Engineering Office   Email address

Course description
"Statistical Thermodynamics" provides the exact method to make macroscopic thermodynamic quantities such as entropy, free energy, connect with microscopic behavior. In particular, the many body system, which cannot be dealt with in classical mechanics, can be explained by probability theory.
The usage of micro-canonical, canonical, and grand-canonical ensembles is studied through a lot of examples. A mini exam will be performed at the start of the lecture for confirming the understanding.
Expected Learning
Various problems such as gas kinetics, spin motion, polymer conformation, and surface adsoption can be explained by the methods provided in the lecture.
Corresponding criteria in the Diploma Policy:See the Curriculum maps.
Course schedule
I. Basic principles
1. Overview
2. Enumeration of microstates
3. Statistical postulates (principle of equal weight and heat equilibrium)
4. Disorder, entropy, and temperature

II. Microcanonical ensemble
5. Entropy of ideal gas
6. Boltzmann distribution and method of Lagrange multiplier
7. Maxwell-Boltzmann velocity distribution
8. Noninteracting oscillators and paramagnetism
9. Summary and Midterm exam

III. Canonical ensemble
10. Definition and properties
11. Helmholtz Free energy: Definition and usage
12. Gibbs Free energy: Definition and usage

iV. Grand canonical ensemble
13. Chemical potential: Definition and usage
14. Definition and properties
15. Summary and Comprehensive final
Prerequisites
The credit of "Physical Chemistry I" should definitely be needed and the knowledge of permutations and combinations studied in high school is needed.
In addition to 30 hours that students spend in the class, students are recommended to prepare for and revise the lectures, spending the standard amount of time as specified by the University and using the lecture handouts as well as the references specified below.
Required Text(s) and Materials
"Statistical Physics" in Japanese, Y. Nagaoka, Iwanami (1994).
References
"Physical chemistry 9th edition", P. Atkins and J. de Paula, W. H. Freeman (2009).
Assessment/Grading
Evaluation is done by mini exams (20%), a midterm exam (40%), and a comprehensive final (40%).
Message from instructor(s)
Course keywords
gas kinetics, partition function, distribution function, canonical ensembles, specific heat
Office hours
After every lecture
Remarks 1
You can download related materials from Moodle site.
Remarks 2
Score distribution
2018 S 15% A 55% B 19% C 9% D 2%
2017 S 9% A 57% B 20% C 8% D 6%
2016 S 13% A 49% B 22% C 11% D 5%
Related URL
Lecture Language
Japanese
Language Subject
Last update
2/26/2019 3:50:34 PM