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Random Walks and Diffusion >> Content Detail



Exams



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.


EXAMSTOPICSSOLUTIONS
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)

 








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