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)

10.08 M

Fall break

10.10 W

Fall break

14

10.16 M

Bose-Einstein condensation. Bosons’ “attraction”

.

15

10.18 W

Fermi-Dirac distributions, Metals, Stars

16

10/23 M

17

10/25 W

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

18

10/30 M

Non-uniform systems. Thomas-Fermi screening. Density functional theory Thermionic emission

Other non-uniform system, Stoner magnetism, Examples from spintronics (tentatively) . Carriers in semiconductors

19

11/01 W

Systems with interactions, Phase transitions, Landau theory of PT.

20

11/06 M

Ising Model. Phase transitions in magnetic systems.

21

11/08 W

Non-equilibrium SM, Langevin equation

22

11/13 M

Regression hypothesis. Time correlations, Power spectrum

23

11/15 W

Midterm #2 (From Chem Reaction to Phase transition)

24

11/20 M

Linear response theory. Generalized susceptibility

25

11/22 W

Boltzmann kinetic equation

26

11/27 M

Boltzmann Kinetic equation

27

11/29 W

 Quantum Statistical Mechanics

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

28

12/04 M

Magnetic resonance, density matrix –> Bloch equations

29

12/06 W

Quantum SM continues, Course summary

30

12/13 W

Final 10:30 – 12:30 tentative 

1 problem (MT01)

1 problem (MT02)

1 problem (non-equil)

1 problem (density matrix)

 

 

Labor Day holiday Monday, September 3

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

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

Final: Tuesday, December 11, 2012 8:00 - 10:00 am