Solutions for Homework #3
Stat. Mech. CHAP E4120x
Prof. Ben OShaughnessy
Solutions for Homework #3
(i) The angle corresponding to the total directions a rod can point in is p, while
the angle corresponding to the directions within q of the z direction is

Homework #1
Stat. Mech. CHAP E4120x
Prof. Ben OShaughnessy
Homework #3
A liquid crystal consists of many rod-like molecules. Consider a 2D
example. Suppose N rod-like molecules lie on a surface with area A. The rods
are able to move about the surface and

Solutions for Homework #2
Stat. Mech. CHAP E4120x
Prof. Ben OShaughnessy
Solutions for Homework #2
1. To specify a configuration one first needs to decide which balls are going to
the left and then how the balls are arranged in each half of the box. Let u

Stat. Mech. CHAP E4120x
Prof. Ben OShaughnessy
Solutions for Homework #1
3. 5 red beads and 2 yellow beads are on a circular necklace.
Number of color sequences =
7!
when arranged in a row. But each circular
5! 2!
necklace color sequence corresponds to 7

CHAP E4210x
Homework 6
Due: Tues, October 2
SHOW YOUR WORK! For problems requiring spreadsheet/computer solutions, include a
printout of your spreadsheet (or, for programs like MATLAB or Wolfram Alpha, a screenshot
of the commands you used and the output)

Transport Phenomena-I
CHEN E3110x
Fall 2012
Homework #4
Issued 10/1
Due 10/8
Read: BSL section 3.6
1. Flow problems where the Reynolds number is very, very small (Re<1) are called
creeping flow. These problems are of special interest because, unlike many

Homework #4
Stat. Mech. CHAP E4120x
Prof. Ben OShaughnessy
Homework #4
(a) A 3-D liquid crystalline fluid consists of N rod-like molecules of length l.
Each rod can occupy one of V available lattice sites, i.e., the center of gravity of
each rod can be at

Stat. Mech. CHAP E4120x
Prof. Ben OShaughnessy
Homework #2
1. A box contains V balls of which Ng are green, Nr are red and V-Ng-Nr are blue.
Now somebody shakes the box vigorously, brings it to rest and then observes the
arrangement of the balls in the bo

Stat. Mech. CHAP E4120x
Prof. Ben OShaughnessy
Homework #1
1. Consult the course text and review the topics of probability,
mathematical background, counting and probability distributions for large
N. Chapter 1 of Reif is a good general reference.
2. For

CHAP E4210x
Homework 6
Due: Tues, October 2
SHOW YOUR WORK! For problems requiring spreadsheet/computer solutions, include a
printout of your spreadsheet (or, for programs like MATLAB or Wolfram Alpha, a screenshot
of the commands you used and the output)

FALL 2012
STATISTICAL MECHANICS
CHAP E4120x
Professor Ben OShaughnessy
3 Points
Prerequisites:
Thermodynamics, elementary probability theory and statistical processes, calculus.
Microscopic to Macroscopic. Statistical Mechanics is the science of gases, li