Phys 311  Assignment 1
Due date: 5pm, Friday, Jan. 22, 2016
Place them in the DrOp Box located in front of CCIS Rooms L2045/L2041
1. Using conventional dice (six sided, numbered 1 through 6),
a) what is the most probable total (Le. sum of the top side va
Phys 311  Assignment 2
Due date: 5pm, Friday, Jan. 29, 2016
Place them in the Dr0p Boxes located in front of CCIS Rooms L2045/L2041
1. Suppose the multiplicity of states varies as Q = Aeo/W where a is a
constant, V is the volume and U the energy of the i
Phys 311  Assignment 3
Due date: 5pm, Friday, Feb. 5, 2016
Place them in the Dr0p Boxes located in front of CCIS Rooms L2045/L2041
1. Consider two small magnetic systems (A and B), each containing 4 inde
pendent, distinguishable spin1/2 particles with m
Lecture 4 Summary
Statistical Thermodynamics
Thermal Interaction
We begin with the study of thermal interaction and approach to thermal equilibrium. A starting
point again is the closed system with two subsystems with different energies, number and
volum
Lecture 3 Summary
Probability distributions Binomial and Poisson
Formulated the probability distribution of the macrostates for the two state system (coin toss)
where there is an unequal probability for a heads or tails outcome, thus leading to a more
gen
Lecture 2 Summary
Probability and Statistics (continued)
Building on the example of enumerating the number of microstates and macrostates from
multiple coin tosses, the procedure for computing the statistical probability was formalized. The
probability of
Lecture 1 Summary
Statistical physics motivation
Manybody systems have an inherent complexity because of many degrees of freedom.
Statistical approach seeks to characterize these systems with a few (macroscopic) parameters
such as temperature, density, p
Lecture 5 Summary
Entropy and Temperature Fluctuations
We started by examining the energy flow between two subsystems in an isolated system. From
the increase in entropy we verified that the energy flow is from the hotter side to the colder
side; the stat
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Phys 311  Assignment 4
Due date: 5pm, Friday, Feb. 12, 2016
Place them in the Drop Boxes located in front of CCIS Rooms L2045/L2041
1. Consider a crystal lattice with N sites, each containing two spin 1/2 par
ticles. The energy on each site depends on th
Phys 311  Assignment 6
Due date: 5pm, Thursday, March 24, 2016
Place them in the Dr0p Boxes located in front of CCIS Rooms L2045/L2041
1. A system is composed of a large number (N ) of onedimensional quna
tum harmonic oscillators whose frequencies are di
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Phys 31 1  Assignment 5
Due date: 5pm, Friday, March 11, 2016
Place them in the Drop Boxes located in front of CCIS Rooms L2045/L2041
1. Calculate the single particle density of states in energy (D(E) for an
excitation of energy E (k) = (1163/ 2 in three
Phys 311  Assignment 7
Due date: 5pm, Tuesday, April 5, 2016
Place them in the Dr0p Boxes located in front of CCIS Rooms L2045/L2041
1. Consider a conducting nanowire with length L : 1mm, width W :
1071771, and height H = 10nm, made from silicon which ha
311: 'dtenn Exam 4
r) (5 points) Imagine an object that. has an entropy curve that grows quadratically with
may (S 0: U2) and it is in thermal contact with a. box of gas Explain what happens to the
.perature of the gas and of the object if a. suaall amo
Final Practice Problems
1. A substance has the entropy function
3 = AV1/2(NU)1/4
where N is in moles and A is a constant in the appropriate units. The
substance is in a box separated by a xed partition into two halves, each
of volume 1m3. One mole of the