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
This note covers Molecular description of gases,
Molecular quantities and macroscopic gas parameters,
Gas laws, Collision frequency,
Free molecular, transitional, and continuum flow regimes,
Transfer of molecular quantities, Transfer equation,
Diffusion, viscous drag, and heat conduction.
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
This book
is written by William Pingry Boynton and presupposes a moderate acquaintance with the
fundamentals of physics and chemistry, and a mathematical equipment involving
familiarity with the differential calculus and at least the notation of the
integral calculus.