Physics 427: Thermal and Statistical Physics, Spring 2012

Instructor : Yann Chemla

   


 

Announcements

Final exam grades have now been entered in the gradebook. Median raw score: 93/130 (72%), and mean raw score: 89/130 (68%). Exam statistics have now been posted. Final exams can be viewed by appointment.

Graded PS #11 and 12 are in Prof. Chemla's office and available for pickup.

The final exam will be Tuesday May 8, 7-10pm in room 144 Loomis. Again, you are allowed one 8.5" x 11" formula sheet (both sides) and a calculator. The final will cover material from the ENTIRE SEMESTER. Material NOT COVERED in the final includes: the Sommerfeld expansion, magneto-optical traps, Landau theory, and the Boltzmann transport equation.

Prof. Chemla will hold extra office hours every weekday 1-2pm until the day of the exam.

The final review & extra practice problems from past final exams are posted in the "Homework, Solutions, & Lecture notes" web area. Problems may not be representative of this semester's final exam.

As announced in class, an error was discovered in the solution to PS #5, problem 4. A corrected solution has now been posted. You may request a regrade for this problem by putting your PS #5 in the course mailbox with a note to the grader.

Midterm exam 2 solutions are now posted in the "Homework, Solutions, & Lecture notes" web area.

Midterm exam 2 will be in class, Tuesday, Apr. 3, 3:30-5pm. Again, you are allowed one 8.5" x 11" formula sheet (both sides) and a calculator. The midterm will cover Lectures 8-16 and PS #4-8 (the Sommerfeld expansion & magneto-optical traps WILL NOT BE ON THE MIDTERM)

Midterm exam 1 solutions are now posted in the "Homework, Solutions, & Lecture notes" web area

Midterm exam 1 will be in class, Tuesday, Feb. 21, 3:30-5pm. You are allowed one 8.5" x 11" formula sheet (both sides) and a calculator. The midterm will cover Lectures 1-7 and PS #1-4.

By popular request, here is the derivation for the hypersphere volume from Lecture 4.

 

Tentative Schedule

Week

Date

Lecture topics

Reading

Problem sets

1

Jan 17

1. Probabilities & entropy

K&K Ch. 1 & 2

Jan 19

2

Jan 24

3. Temperature & Paramagnet

K&K Ch. 2 & Appendix E

PS #1

Due Jan 26

 

Jan 26

3

Jan 31

5. Canonical Ensemble

K&K Ch. 3

PS #2

Due Feb 2

 

Feb 2

4

Feb 7

7. Free energy

K&K Ch. 3 & 4

PS #3

Due Feb 9

 

Feb 9

8. Planck distribution

5

Feb 14

9. Blackbody radiation

K&K Ch. 4 & Greenhouse Supplement

PS #4

Due Feb 16

 

Feb 16

6

Feb 21

First exam

K&K Ch. 4

Feb 23

7

Feb 28

12. Grand Canonical Ensemble

K&K Ch. 5 & 6

PS #5

Due Mar 1

 

Mar 1

8

Mar 6 

14. Fermi gas

K&K Ch. 6 & 7 Fermi gas

PS #6

Due Mar 8

 

Mar 8 

 9

Mar 13

16. Bose-Einstein condensation

K&K Ch. 7 Bose gas & 8

PS #7

Due Mar 15

 

Mar 15

 10

Mar 20

Spring break

 

Mar 22

11

Mar 27

18. Thermodynamic transformations

K&K Ch. 9

       PS #8

Due Mar 29

Mar 29

12

Apr 3

Second exam

K&K Ch. 10

 

 

Apr 5

13

Apr 10

21. Van der Waals model

K&K Ch. 10

PS #9

Due Apr 12

Apr 12

14

Apr 17

  23. Landau theory

K&K Ch. 10 & 12

PS #10

Due Apr 19

Apr 19

15

Apr 24

Apr 26

25. Kinetic theory

K&K Ch. 14 & 15

PS #11

Due Apr 26

 

16

May 1

Review

Review

PS #12

Due May 3

 

May 3

No class

15

 

Final Exam
May 8, 7-10pm
144 Loomis

 

 

 

Homework, Solutions, & Lecture notes

 

Personnel

Instructor

Yann Chemla

161 Loomis

ychemla@illinois.edu

333-6501

Thurs. 1-2pm, 161 Loomis

Grader

Hong-Yan Shih

 

hshih7@illinois.edu

 

Wed. 5-6pm, 279 Loomis

 

Objectives

The aim of statistical mechanics is to explain the aggregate behavior of systems with many degrees of freedom.  Examples include gases, collections of  spins, atoms in a laser trap, electrons in metals, semiconductors, vibrations in solids, photons in a box, chemical reactions, refrigerators and electrical noise.    This is a subject in which an enormous range of physical phenomena can understood with relatively simple mathematics.  But, while the mathematics will remain simple, the concepts are not always so.  This is particularly true of thermodynamics, the study of heat and work.   The first part of the course will emphasize statistical mechanics and simple systems that may be worked out analytically.  We will then move on to thermodynamics, which permits one to infer general properties of more complex systems.  The course will end with an introduction to interacting systems including mean field magnetism. 

Course Structure

Class meets Tuesday and Thursday from 3:30 – 4:50 PM.  Although I will post lecture notes, I consider class attendance extremely important.   This is not a course in “distance learning” and I may depart from both lecture notes and the text.   Moreover, questions asked in class are often revealing and informative and can’t be captured by relying solely on the Web.

 

Lectures :  Two 2-hour lectures per week in 144 Loomis:  Tuesday & Thursday from 3:30 – 4:50 PM

Problem sets :  Problem sets will come approximately every week and will be due Thursday by 6:00 PM in the course mailbox.  Assignments handed in 1 day late will be graded down 10%, 2 days late 40%, 3 days late 70%, followed by no credit after that point.  Solutions will be available online after the due date. 

Exams    

Midterm exams:  

Tuesday, February 21, 3:30 – 4:50 PM, 144 Loomis 

Tuesday, April 3, 3:30 – 4:50 PM, 144 Loomis

Final exam:  Tuesday, May 8, 7 – 10 PM, room to be announced                                                      

 

Course Materials

Textbook , Thermal Physics by Charles Kittel and Herbert Kroemer, 2nd edition (W. H. Freeman and Company)  There are many, many books on statistical mechanics and thermodynamics.   I think this text offers many insights that are absent in more formal mathematical treatments.  But, many of you may find other texts more to your taste.  Some of the standards are included in the References below.

 

Grading Policy

Course grades will be determined according to the following weights.
 

Class Participation

10 %

Problem sets

30 %

Midterm Exams

30 %

Final Exam

30 %

 

Gradebook

 

References
 

Daniel V. Schroeder

An Introduction to Thermal Physics

F. Reif

Statistical and Thermal Physics

R. K. Pathria

Statistical Mechanics

L. Landau and E.M. Lifshitz

Statistical Physics

R.P. Feynmann

Statistical Mechanics

Feynman, Leighton and Sands

The Feynman Lectures on Physics, Vol. 1

A.B. Pippard

The Elements of Classical Thermodynamics


 


 


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