Sidney Redner, Santa Fe Institute, USA

Non-Equilibrium Statistical Physics (13.5h)



1. Elementary Introduction to Random Walks & First Passage Fundamentals

Transience and recurrence; connection between first-passage and electrostatics

2. First Passage in the Finite and Semi-Infinite Interval

Survival and first-passage probabilities; mean exit times; time-integrated formulation for splitting probabilities and exit times

3. Kinetics of Aggregation

Master equation approach; solution methods for elementary reaction kernels; gelation phenomena; scaling approach; aggregation with input

4. Kinetics of Random Sequential Adsorption

Coverage kinetics; adsorption/desorption; application to polymer translocation

5. Coarsening and Growth

Time-dependent Ginzburg-Landau equation; Lifshitz-Slyazov coarsening; extremal dynamics

6. Population Dynamics

Epidemic models; discrete birth and birth/death reactions; bimolecular reactions

7. Complex Networks

Kinetic approach for the Erdos-Renyi random graph; random recursive trees; preferential attachment networks