This note
will discuss the development of basic kinetic approaches to more complex and
contemporary systems. Topics covered includes: Aperitifs, Random
Walks/Diffusion, Collisions, Aggregation, Fragmentation, Adsorption Kinetics,
Spin Dynamics, Coarsening, Reaction Kinetics, Complex Networks.
Author(s): E. Ben-Naim, P. L. Krapivsky, and S. Redner
Kinetic
transport equations are mathematical descriptions of the dynamics of large
particle ensembles in terms of a phase space (i.e. position-velocity space)
distribution function. The PDF covers the following topics related to Kinetic
Transport Theory : A formal derivation of the Boltzmann equation, Formal
properties and macroscopic limits, Velocity averaging, Global existence for the
Boltzmann equation.
This note
will discuss the development of basic kinetic approaches to more complex and
contemporary systems. Topics covered includes: Aperitifs, Random
Walks/Diffusion, Collisions, Aggregation, Fragmentation, Adsorption Kinetics,
Spin Dynamics, Coarsening, Reaction Kinetics, Complex Networks.
Author(s): E. Ben-Naim, P. L. Krapivsky, and S. Redner
These are the notes for lectures on Kinetic Theory and Statistical
Physics, being part of the 2nd-year course at Oxford. Topics covered includes:
Basic Thermodynamics, Kinetic Theory, From Local to Global Equilibrium
(Transport Equations) , Kinetic Calculation of Transport Coefficients,
Foundations of Statistical Mechanics , Statistical Mechanics of Simple Systems ,
Open Systems, Quantum Gases, Thermodynamics of Real Gases.
This book covers the
following topics: Foundations Of The Hypothesis, Pressure Of Gases, Maxwell's
Law, Ideal And Actual Gases, Molecular And Atomic Energy, Molecular Free Paths,
Viscosity Of Gases, Diffusin Of Gases and Conduction Of Heat.
The main
object of this book is to formulate a Kinetic Theory of certain properties of
matter, which shall apply equally well to matter in any state. The book has also
been brought up to date in matters not connected with molecular collision, and
has been treated in a way so that the results are connected as directly as
possible with the results of experiment.
This is a graduate course on topics in
non-equilibrium statistical mechanics. It was given to masters students and PhD
students in the fall of 2012. The full set of lecture notes are a little shy of
100 pages. They can be downloaded below. This covers the following: Things
Bumping Into Other Things, Kinetic Theory, Stochastic Processes, Linear
Response