University of California Santa Barbara, Department of Chemical Engineering ChE 210A: Thermodynamics and Statistical Mechanics Problem set #8 Due: Wednesday, November 25, 2009 Objective: To understand
University of California Santa Barbara, Department of Chemical Engineering ChE 210A: Thermodynamics and Statistical Mechanics Problem set #9 Due: Friday, December 5, 2008 Objective: To understand the
University of California Santa Barbara, Department of Chemical Engineering ChE 210A: Thermodynamics and Statistical Mechanics Problem set #2 Due: Friday, October 9, 2009 Objective: To become familiar
University of California Santa Barbara, Department of Chemical Engineering ChE 210A: Thermodynamics and Statistical Mechanics Problem set #3 Due: Friday, October 16, 2009 Objective: To understand the
University of California Santa Barbara, Department of Chemical Engineering ChE 210A: Thermodynamics and Statistical Mechanics Problem set #1 Due: Friday, October 2, 2009 Objective: To become familiar
University of California Santa Barbara, Department of Chemical Engineering ChE 210A: Thermodynamics and Statistical Mechanics Problem set #6 Due: Friday, November 6, 2009 Objective: To understand and
How the macroscopic world works
ChE210A
Previously, we covered how the world works at a microscopic level-how atoms and molecules interact with each other and what laws govern their time evolution. No
How the microscopic world works
ChE210A
In order to understand the molecular origins of thermodynamic equilibrium, it is important to first understand the fundamental principles by which molecules int
Phase equilibrium
ChE210A
It is a familiar fact that pure substances tend to exist in one of three distinct states: solid, liquid, and gas. Heat a crystal up, and at a specific temperature it suddenly
Other ensembles
T he isothermal-isobaric ensemble
ChE210A
In the last few lectures, we derived the microscopic probabilities for systems that are at constant temperature, i.e., coupled to an infinitel
Equilibrium and entropy
What is equilibrium?
ChE210A
At its most basic level, the subject of thermodynamics is the study of the properties of systems and substances at equilibrium. What is meant by eq
University of California Santa Barbara, Department of Chemical Engineering ChE 210A: Thermodynamics and Statistical Mechanics Problem set #7 Due: Wednesday, November 18, 2009 Objective: To understand
University of California Santa Barbara, Department of Chemical Engineering ChE 210A: Thermodynamics and Statistical Mechanics Problem set #5 Due: Friday, ctober 30, 2009
Objective: To understand and m
University of California Santa Barbara, Department of Chemical Engineering ChE 210A: Thermodynamics and Statistical Mechanics Problem set #4 Due: Friday, October 23, 2009 Objective: To become comforta
ChE 210B: Advanced Topics in Equilibrium Statistical Mechanics
Glenn Fredrickson
Lecture 1
Reading: 3.1-3.5 Chandler, Chapters 1 and 2 McQuarrie This course builds on the elementary concepts of statis
Advanced Topics in Equilibrium Statistical Mechanics
Glenn Fredrickson
2. Classical Fluids
A. Coarse-graining and the classical limit
For concreteness, let's now focus on a fluid phase of a simple mon
Department of Chemical Engineering University of California, Santa Barbara ChE 210B Instructor: Glenn Fredrickson Homework #5 Homework Due: Friday, March 5, 2010 1. Prepare solutions to the following
Department of Chemical Engineering University of California, Santa Barbara ChE 210B Instructor: Glenn Fredrickson Homework #4 Homework Due: Friday, February 19, 2010 1. For the vibrating elastic strin
Department of Chemical Engineering University of California, Santa Barbara ChE 210B Instructor: Glenn Fredrickson Homework #3 Homework Due: Friday, February 12, 2010 1. Starting from the "virial equat
Department of Chemical Engineering University of California, Santa Barbara ChE 210B Instructor: Glenn Fredrickson Homework #2 Homework Due: Friday, January 29, 2010 1. Prepare solutions to the followi
Department of Chemical Engineering University of California, Santa Barbara ChE 210B Instructor: Glenn Fredrickson Homework #1 Homework Due: Friday, January 15, 2010 1. Check out our class web site at
Advanced Topics in Equilibrium Statistical Mechanics
Glenn Fredrickson
10. Electrolyte and Colloidal Solutions
A. Systems and Models
Thus far, we have restricted our attention to the equilibrium SM of
Advanced Topics in Equilibrium Statistical Mechanics
Glenn Fredrickson
Lecture 16
Recap: semi-dilute, good solvent
(c) independent of N ! for c b( cb3 )-3/4 c-3/4
p 1
c
b-3
So, b (1A )
kB T 3
(20A )
Advanced Topics in Equilibrium Statistical Mechanics
Glenn Fredrickson
Lecture 14 8. Polymer Statistical Mechanics
A. Coarse-Graining
Polymer science is a particularly rich area of application of stat
Advanced Topics in Equilibrium Statistical Mechanics
Glenn Fredrickson
7. Critical Phenomena
The subject of critical phenomena, i.e., the study of the equilibrium and nonequilibrium properties of syst
Advanced Topics in Equilibrium Statistical Mechanics
Glenn Fredrickson
6. Statistical Mechanics of Classical Fields
Up to this point we have talked about how to set up and perform equilibrium statisti
Advanced Topics in Equilibrium Statistical Mechanics
Glenn Fredrickson
5. Computer Simulation Methods
A. General Considerations
We have just seen that successful analytical theories for simple liquids
Advanced Topics in Equilibrium Statistical Mechanics
Glenn Fredrickson
3. Theory of Gases
A. The Ideal Gas
As we shall see, gases are much easier to deal with than liquids, because the low density of
Department of Chemical Engineering University of California, Santa Barbara ChE 210B Instructor: Glenn Fredrickson Homework #6 Homework Due: Friday, March 12, 2010 1. The problem of equilibrium phase c