7310 Statistical Physics (Fall 2017)

http://www.physics.utah.edu/~rogachev/7310/7310_2017.htm

Lectures: Monday, Wednesday, WEB 1450, 11:50-13:10 PM

Announcement:

Instructor: Andrey Rogachev, 306 JFB, Phone 585-0792

rogachev@physics.utah.edu    (when you send me an e-mail please put “7310” in the subject line)

Office hours: Monday, 13:30 PM - 2:30 PM official, any time after lecture or by appointment. 

TA:       TA office hour: Tuesday

 

Course web site:  http://www.physics.utah.edu/~rogachev/7310/7310_2017.htm

Main textbook:  Sethna, Statistical Mechanics: Entropy, Order Parameters, and Complexity  

Material for this textbook is available at the website

 http://pages.physics.cornell.edu/sethna/StatMech/

Alternative Main textbook: Kardar, Statistical Mechanics of Particles. 

 

Homework is due on Wednesday before lecture.

If you are not attending the lecture put the homework in my department mailbox. [no late homework]

I will drop one homework assignment with the lowest score.

Some homework will have extra-credit problems.

 

Midterms: If you are unable to attend a midterm let me know in advance.

Final test: Final test is mandatory for passing this course.

 

Grading:

Homework: 10 points each, homework with the lowest score will not be counted.

Midterm tests (2): 20 points each, Final test: 40 points

 

90 –100  A;  85 – 90  A-; 80 – 85  B+; 75 – 80  B;  70 – 75  B-; 65 – 70  C+; 60 – 65  C;  55 – 60  C-

 

NOTES on THERMODYNAMICS

 

Syllabus (tentative)

 

Date

Subject

Reading

Homework

1

08.21 M

 No class, sun eclipse

 

2

08.23 W

Microstates, Fundamental assumption

Probability theory, one and many

Variables,  L01

Lecture notes

HW01 HW01_S

3

08.28 M

Random walks, Binomial, Gaussian,

Poisson, Central Limit Theorem. L02

Lecture notes

 

4

08.30 W

Microcanonical ensemble, temperature,

Pressure, chemical potential L03

HW02 HW02_S

09.04 M

No lecture, Labor day

5

09.06 W

Canonical ensemble L04

HW03  HW03_S

6

09.11 M

Ideal Gas, Gibbs Paradox, Gibbs Canonical ensemble

7

09.13 W

Gibbs Canonical ensemble L05

Lecture notes. You can also read a chapter on ensemble in Sethna and Kardar, Both gives very good coverage.

HW04  HW04_S

8

09.18 M

Entropic forces

Class presentation on entropic forces

Lecture notes

Kardar or Sethna on ensembles

9

09.20 W

Grand canonical ensemble L06

Lecture notes

Kardar or Sethna on ensembles

HW05 HW05_S

10

09.25 M

 Review, Class problems

11

09.27 W

Identical particles L07

Lecture notes

Sethna:  7.3 till the end of Bose systems

HW06, ,You will need to wait till Monday for material for Pr#4 HW06_S

12

10.02 M

BE FD distributions, Photon gas L08

Lattice vibration L08_01,  Phonons  L08_02,

Sethna 7.3-7.6

13

10.04 W

Magnons L08_3 (There are some math mistakes in the note, which I can’t trace. To be corrected in future) Conceptually the notes should be OK.

HW07  (Problem on Magnons is self-sufficient)

HW07_S

10.08 M

Fall break

10.10 W

Fall break

14

10.16 M

Bose-Einstein condensation. Bosons’ “attraction” L09

.

15

10.18 W

Fermi-Dirac distributions, Metals, Stars L10

HW08 HW08_S

Due on Nov1

16

10/23 M

Chemical reactions L11

17

10/25 W

Midterm (Ensembles, BE, FD distributions, Bose systems with ChemPot=0)

MT01_S

18

10/30 M

Semiconductor statistics L12

19

11/01 W

.Principle of detailed balance L13

HW09   HW09_S

20

11/06 M

 Thomas-Fermi screening L14

21

11/08 W

Magnetism, Mean-field, Ising model L15

HW10  HW10_S

22

11/13 M

 Phase transition – order parameter, symmetry breaking, Landau-Ginsburg theory L16

23

11/15 W

 Non-equilibrium SM Brownian motion Correlation functions. L17 , (L17_02 Bath of oscillators

Cladeira Leggett, extra reading)

Sethna

HW11     HW11_S

24

11/20 M

Non-equilibrium SM L18 Correlation function

25

11/22 W

Non-equilibrium SM

Linear response L19

HW12 (homework is due on Dec. 06 alongside with HW13)

HW12_S

26

11/27 M

Midterm

1) Fermi systems,

2)  Bose-Einstein condensation,

3) Systems with non-uniform distribution

4) Magnetic transition at the level of mean-field theory. (Problem combining two of the above phenomena may be present)

MT02_solutions

27

11/29 W

 Quantum Statistical Mechanics

Density matrix, Pure and  Mixed states. Time evolution. Von Neumann equation.

L20           L21_1,             L21_2

HW13 (read announcement about the final below)

HW13_S

28

12/04 M

Quantum QM continues

Magnetic resonance, density matrix –> Bloch equations  L22

29

12/06 W

Magnetic resonance continues,

Course summary (probably no time for this )

30

12/07-08

 The final is take-home final

I will post problems on Thursday Dec.7 at about 10 AM. The exam is due on Friday Dec. 8th at 5 PM. You will need to return your work to Hassan  (He will be in his office JFB 212-A at 4-5 PM)

 or in my mailbox in the department office. I the latter case you need to ask office attendant to put a time stamp on your work.

The final will include one simple problem on density matrix and one simple problem on non-equilibrium SM. The other problems will cover material of MT01 and MT02 and will be more involved.

FINAL

 

IMPORTANT FOR ME (and future students) Please answer the questions about the content of the course and return  the question sheet. alongside with your final.

QUESTIONS

 

 

Your work on the final must be strictly independent. No group study or consultations with other people are allowed. We will cross check your solutions. 

 

 

Labor Day holiday Monday, September 3

Fall break Sun.-Sun., October 7-14

Thanksgiving break Thurs.-Fri., Nov. 22-23