Computer Simulation Methods in Theoretical Physics [Paperback]

Computational methods pertaining to many branches of science, such as physics, physical chemistry and biology, are presented. The text is primarily intended for third-year undergraduate or first-year graduate students. However, active researchers wanting to learn about the new techniques of computational science should also benefit from reading the book. It treats all major methods, including the powerful molecular dynamics method, Brownian dynamics and the Monte-Carlo method. All methods are treated equally from a theroetical point of view. In each case the underlying theory is presented and then practical algorithms are displayed, giving the reader the opportunity to apply these methods directly. For this purpose exercises are included. The book also features complete program listings ready for application.Computational methods pertaining to many branches of science, such as physics, physical chemistry and biology, are presented. The text is primarily intended for third-year undergraduate or first-year graduate students. However, active researchers wanting to learn about the new techniques of computational science should also benefit from reading the book. It treats all major methods, including the powerful molecular dynamics method, Brownian dynamics and the Monte-Carlo method. All methods are treated equally from a theroetical point of view. In each case the underlying theory is presented and then practical algorithms are displayed, giving the reader the opportunity to apply these methods directly. For this purpose exercises are included. The book also features complete program listings ready for application.1. Introductory Examples.- 1.1 Percolation.- 1.2 A One-Particle Problem.- Problems.- 2. Computer-Simulation Methods.- Problems.- 3. Deterministic Methods.- 3.1 Molecular Dynamics.- Integration Schemes.- Calculating Thermodynamic Quantities.- Organization of a Simulation.- 3.1.1 Microcanonical Ensemble Molecular Dynamics.- 3.1.2 Canonical Ensemble Molecular Dl6