A kinetic view of statistical physics by Pavel Krapivsky, Sidney Redner, and Eli Ben-Naim in 2010
Lectures
1. Aperitifs
1.1 Diffusion
1.2 Single-species annihilation/coalescence
1.3 Two-species
1.4 Notes
2. Diffusion
2.1 The probability distribution
2.2 Central limit theorem
2.3 Walks with broad distributions
2.4 Application to gravity: the Holtsmark distribution
2.5 First-passage properties
2.6 Exit probabilities and exit times
2.7 Reaction rate theory
2.8 The Langevin approach
2.9 Application to surface growth
2.10 Notes
3. Collisions
3.1 Kinetic theory
3.2 The Lorentz gas
3.3 Lorentz gas in an external field
3.4 Collisional impact
3.5 Maxwell molecules and very hard particles
3.6 Inelastic gases
3.7 Ballistic agglomeration
3.8 Single-lane traffic
3.9 Notes
4. Exclusion
4.1 Symmetric exclusion process
4.2 Asymmetric exclusion process
4.3 Hydrodynamic approach
4.4 Microscopic approach
4.5 Open systems
4.6 Notes
5. Aggregation
5.1 The master equations
5.2 Exact solution methods
5.3 Gelation
5.4 Scaling
5.6 Exchange-driven growth
5.7 Notes
6. Fragmentation
6.1 Binary fragmentation
6.2 Planar fragmentation
6.3 Reversible polymerization
6.4 Collisional fragmentation
6.5 Notes
7. Adsorption
7.1 Random sequential adsorption in one dimension
7.2 Phase space structure
7.3 Adsorption in higher dimensions
7.4 Reversible adsorption
7.5 Polymer translocation
7.6 Notes
8. Spin dynamics
8.1 Phenomenology of coarsening
8.2 The voter model
8.3 Ising-Glauber model
8.4 Mean-field approximation
8.5 Glauber dynamics in one dimension
8.6 Glauber dynamics in higher dimensions
8.7 Spin-exchange dynamics
8.8 Cluster dynamics
8.9 Notes
9. Coarsening
9.1 Models
9.2 Free evolution
9.3 Case studies in non-conservative dynamics
9.4 Final states
9.5 Defects
9.6 Conservative dynamics
9.7 Extremal dynamics
9.8 Nucleation and growth
9.9 Notes
10. Disorder
10.1 Disordered spin chain
10.2 Random walk in a random potential
10.3 Random walk in random velocity
10.4 Notes
11. Hysteresis
11.1 Homogeneous ferromagnets
11.2 Perturbation analysis
11.3 Disordered ferromagnets
11.4 Mean-field model
11.5 Hysteresis in the random-field Ising chain
11.6 Notes
12. Population dynamics
12.2 Discrete reactions
12.3 Small-fluctuation expansion
12.4 Large fluctuations
12.5 Notes
13. Diffusive reactions
13.1 Role of the spatial dimension
13.2 The trapping reaction
13.3 Two-species annihilation
13.4 Single-species reactions in one dimension
13.5 Reactions in spatial gradients
13.6 Notes
14. Complex networks
14.1 Non-lattice networks
14.2 Evolving random graphs
14.3 Random recursive trees
14.4 Preferential attachment
14.5 Fluctuations in networks
14.6 Notes