Exercise 10 Molecule and identical particles
Stochastic Processes in Physics 2008,2010
Chapter 1: characteristic functions, Abelian
and Tauberian theorems, Gauss--L\'evy central limit theorem
Chapter 2: Random Walks in d Dimension,
Polya's problem, the diffusion Equation, first passage time
Chapter 3: Renewal Theory, Statistical Aging,
Weak Ergodicity Breaking For a Two State Process
Chapter 3: More details on resonance fluorescence questions 3.1-3,3 and q1-q7
Chapter 4:
Continuous Time Random Walk
Chapter 4:
Home work assignment Continuous Time Random Walk, Trap Model, Span of a random walk
Brownian Motion, Fokker-Planck Equations, Einstein Relation, Simple Kinetic Model
Final Exercise: Fokker-Planck, First Passage Times, Generalized Langevin Equations, Fractional Kinetics, Fluctuation-Dissipation.
Mid Term Projects
Statistical Mechanics 2004
Syllabus
Problem Set 1- Diffusion
Problem Set 2- ABC of Equil. Stat. Mech.
Problem Set 3-
FD, BE, and Bol. Statistics with Application to Ideal Monoatomic Gas
Problem Set 4-
Diatomnic Gas
Problem Set 5-
Ising Model: Mean Field Theory and 1D Solution
Computer Project: Two Dimensional Ising Model
a Monte Carlo Study.
Problem Set 6-
Renormalization Group for Ising Model
.
Links
Kinetic Theory
Kinetic Theory 1
CNN: a new form of matter?
Deriving Maxwell's Velocity Distribution: a Kinetic Model Approach
Inequivalence of ensembles in a system with long range interactions
Broken Ergodicity in classically chaotic spin systems
Any questions? If so, email
Eli Barkai.
Quantum Chemistry Fall 2003