Physics 230 (Statistical Mechanics and Thermodynamics) Home Page, Spring 2012

Physics 230: Statistical Mechanics and Thermodynamics

Announcements

Welcome to the new semester!

Instructor

Course Information

Course Catalog Description:

The basic laws of physics governing the behavior of microscopic particles are in certain respects simple. They give rise both to complex behavior of macroscopic aggregates of these particles, and more remarkably, to a new kind of simplicity. Thermodynamics focuses on the simplicity at the macroscopic level directly, and formulates its laws in terms of a few observable parameters like temperature and pressure. Statistical Mechanics, on the other hand, seeks to build a bridge between mechanics and thermodynamics, providing in the process, a basis for the latter, and pointing out the limits to its range of applicability. Statistical Mechanics also allows one to investigate, in principle, physical systems outside the range of validity of Thermodynamics. After an introduction to thermodynamic laws, we will consider a microscopic view of entropy, formulate the kinetic theory, and study several pertinent probability distributions including the classical Boltzmann distribution. Relying on a quantum picture of microscopic laws, we will study photon and phonon gases, chemical potential, classical and degenerate quantum ideal gases, and chemical and phase equilibria. Three class hours per week.

Schedule

Times and places:

Requisites

Physics 225 (and all of its prerequisites: Physics 123, 124, and math through Math 121), or permission of the instructor. I'll be enthusiastic in my use of math, so a certain mathematical sophistication will help. Students who have taken Math 211 or Physics 227 should be well prepared, but everyone will probably see math they haven't seen before.

Course requirements

Statement of Intellectual Responsibility: particulars for this course

How to get the most from this class:

Grading:

Textbooks:

Required (I've ordered this from Amherst books): Additional useful references (NOT required):

Physics: Math books:

Mathematica Tutorials

We may use Mathematica in the homework, to obtain numerical solutions to problems that are not analytically solvable and to simplify plotting of results. If you've never used Mathematica before, or haven't used it much, the tutorials will help you get started. They were written by Professor Emeritus Bob Hilborn and revised by Rebecca Erwin '02. If you download the file and save it to the desktop with a .nb suffix in the name, your computer will recognize it as a Mathematica notebook and will start up Mathematica automatically when you double-click on the icon, provided you have Mathematica installed. Mathematica is installed on lots of the college's public machines, including on the computers in the Physics Department computer lab. Alternately, you can pay the $140 or so to buy the student version.


Lecture Schedule
Week Notes Hmwk Other
1. January 23
Thermal Phenomena


Jan 23: Course Organization / Overview

Course organization. Overview of the subject. Relation between statistical mechanics and thermodynamics.

Jan 25: title

topics

Jan 27: title

topics

Read: G&T, Chap. 1

The text of this book is available for free on the web. See the compadre website,
http://www.compadre.org/STP/filingcabinet/share.cfm?UID=10986

2. January 30
title


Jan 30: title



Feb 1: title

topics

Feb 3: title

topics

Read: G&T, Chap. 2, sections 2.1-2.5

PS 1: G&T: 1.1 (you may omit parts (d) and (e)), 1.2, 1.3, 1.4, 1.8, 1.10, 1.25
[due Friday February 3, 2012, 10:00 pm]
3. February 6
week title


Feb 6: title

topics

Feb 8: title

topics

Feb 10: title

topics

Read: G&T, Chap. 2, sections 2.6-2.18

PS 2: G&T, Problems 2.13, 2.17, 2.47, 2.51, 2.53, 2.56, 2.57
[due Friday February 10, 2012, 10:00 pm]
4. February 13
week title


Feb 13: title

topics

Feb 15: title

topics

Feb 17: title

topics

Read: G&T, Chap. 2, up through sec. 2.20, and also sec. 2.24

PS 3: G&T, Problems 2.19, 2.20, 2.21, 2.23, 2.24, 2.54, 2.55, 2.63
[due Friday February 17, 2012, 10:00 pm]
5. February 20
week title


Feb 20: title

topics

Feb 22: title

topics

Feb 24: title

topics

Read: G&T, Chap. 2, up through sec. 2.20, and also sec. 2.24

PS 4: G&T, Problems 2.25, 2.26, 2.27, 2.66, 2.68
[due Friday February 24, 2012, 10:00 pm]
6. February 27
week title


Feb 27: title

topics

Feb 29: title

topics

Mar 2: title

topics

Read: Start Chap. 3: 3.1-3.3

Last week's problem set extended. Now due Saturday March 3, 2012, noon.
7. March 5
week title


Mar 5: title

topics

Mar 7: title

topics

Mar 9: title

topics

Mar 7: Exam 1

7-10 pm
Merrill 211

Read: G&T, 3.1-3.3, 3.4.1, 3.5-3.7, 3.11 (i.e. all of the sections that are not starred)

PS 5: G&T: 3.15, 3.17, 3.18, 3.29, 3.30, 3.31, 3.34, 3.59, 3.60
[due Saturday March 10, 2012, noon]
8. March 12
title


Mar 12: title

topics:

Mar 14: title

topics:

Mar 16: title

topics: title

Read: Finish reading the unstarred sections of G&T, Chap. 3, and read Chap. 4, sections 4.1-4.3.

PS 6: G&T: 3.36, 3.38, 3.39, 3.43, 3.45, 3.64
[due Saturday March 17, 2012, noon]
March 19
spring break


Mar 19: break

topics

Mar 21: break

topics

Mar 23: break

topics

Read: Read Chap. 4 of G&T through the end of sec. 4.5

PS 7: G&T: 4.2, 4.7, 4.11, 4.14, 4.16, 4.20
[due Saturday March 31, 2012, noon]
9. March 26
week title


Mar 26: title

topics

Mar 28: title

topics

Mar 30: title

topics

Read: Finish reading Chap. 4 of G&T

PS 8: G&T: 4.24, 4.28, 4.29, 4.33, 4.41, 4.47, 4.50, 4.53
[due Saturday April 7, 2012, noon]
10. April 2
week title


Apr 2: title

topics

Apr 4: title

topics

Apr 6: title

topics

Read: Chap. 5, sec. 5.1-5.5 of G&T

PS 9: G&T: 4.45, 4.54, 5.2, 5.3, 5.6, 5.32, 5.33
[due Saturday April 12, 2012, noon]
11. April 9
week title


Apr 9: title

topics

Apr 11: title

topics

Apr 13: title

topics

Read: same as last week

PS 10: G&T: 5.9, 6.5, 6.6, 6.7, 6.13, 6.16, 6.17, 6.55, 6.56
[due Saturday April 28, 2012, noon]
12. April 16
week title


Apr 16: title

topics

Apr 18: Exam 2

7-10 pm
Merrill 211

Apr 18: title

topics

Apr 20: title

topics

Read:

PS 11
13. April 23
week title


Apr 23: title

topics

Apr 25: title

topics

Apr 27: title

topics

Read:

PS 12
14. April 30
week title


Apr 30: title

topics

May 2: title

topics

May 4: title

topics

Read: chap 6

some suggested problems from chap. 6: 6.28, 6.33, 6.40, 6.59, 6.60, 6.61
[not graded]