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
The
PDF book has a number of articles related to the following topics related to
Kinetic Theory and Swarming Tools to Modeling Complex Systems : Kinetic Theory
and Swarming Tools to Modeling Complex Systems - Symmetry problems in the
Science of Living Systems, On the Complex Interaction between Collective
Learning and Social Dynamics, Diffusive and Anti-Diffusive Behavior for Kinetic
Models of Opinion Dynamics, Forecasting Efficient Risk/Return Frontier for
Equity Risk with a KTAP Approach - A Case Study in Milan Stock Exchange,
Numerical Simulation of a Multiscale Cell Motility Model Based on the Kinetic
Theory of Active Particles, Kinetic Model for Vehicular Traffic with Continuum
Velocity and Mean Field Interactions, A Critical Analysis of Behavioural Crowd
Dynamics—From a Modelling Strategy to Kinetic Theory Methods, Particle Methods
Simulations by Kinetic Theory Models of Human Crowds Accounting for Stress
Conditions.
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 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.
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.