View source for Physics 434, 2014: Homework 3

{{PHYS434-2014}}

Please turn on the assignment either as a PDF file to me by email, or as a printout to my mailbox in physics. Detailed derivations (with explanations) and calculations must be present for the problems for full credit.

#''Undergraduate students:'' Problem 5.1 in the Nelson's book.
#''Undergraduate students:'' Problem 5.2 in the Nelson's book.
#Problem 5.3 in the Nelson's book.
#Problem 5.6 in the Nelson's book
#Calculate the drift and the diffusion constants for a random walk on a lattice with a lattice spacing of <math>a</math>, where particles hop between the sites every <math>\Delta t</math> units of time, and they have a probability of <math>p</math> going left, and <math>q=1-p</math> going right. What are these quantities if the particle goes to the left with the probability <math>p</math>, to the right with <math>q</math>, and stays in place with the probability <math>r=1-p-q</math>?
#''Graduate students:'' Problem 5.11 in Nelson's book.
#''Graduate students:'' Problem 5.13 in Nelson's book.
#''Graduate students:'' Problem 5.14 in Nelson's book.