PHYS 362
Statistical Mechanics
Problem set #5
1. (Characteristic functions:) Calculate the characteristic function, the mean and the
variance of the following probability density functions:
(a) Uniform: p(x) =
(b) Laplace: p(x) =
(c) Cauchy: p(x) =
1
for
PHYS 362
Statistical Mechanics
Problem set #6
1. The coecient of viscosity of helium at STP is 1.86 105 kg m1 s1 . Find
(a) the thermal conductivity;
(b) the mean free path;
(c) the molecular diameter; and
(d) the pressure at which the mean free path is e
PHYS 362
Statistical Mechanics
Problem set #3
Problem 6-18: Define E2 = E2 E 2 , show
E = kT
(In case it is not clear E2 = E 2 E2 .)
From text(Schroeder)
From text(Schroeder)
C/k.
PHYS 362
Statistical Mechanics
Problem set #1
1. We are given the fundamental equation of a system as
(
)
AN
S
U = 2 exp
,
V
NR
where A and R are constants,
(a) Find P and T .
(b) Find the coecient of isothermal
( ) expansion, and
( the) isothermal compre