Random Walks and Diffusion

Exams

The midterm take-home exam was handed out in Lec #19, and was due in Lec #20.

Midterm Exam (PDF)

Solutions (PDF)

Spring 2005 Exams

The exam solutions were partially written by students who took this class and are used with their permission.

The Spring 2005 version of this class had two midterm exams.

EXAMS	TOPICS	SOLUTIONS
Exam 1 (PDF)	Multivariate Normal Random Walk With Non-Identical Steps Exact Solution For The Position PDF Student Random Walk Generalized Gram-Charlier Expansion With Fat Tails Largest Step Distribution Of The Largest Step Taken, Case Of Fat Tails And The Transition To Anomalous Scaling	Chris Rycroft (PDF)
Exam 2 (PDF)	Electrochemical Equilibrium Poisson-Boltzmann Equation, Debye-Huckel Linearization, Gouy-Chapman Solution First Passage Of A Set Of Random Walkers Survival Probability Near An Absorbing Wall, Levy-Smirnov Density, Minimum First Passage Time Escape From A Symmetric Trap Mean First Passage Time, Kramers Escape Rate, Finite-Temperature Corrections By Saddle-Point Asymptotics	(PDF)