Computer Simulation Methods in Theoretical Physics

ISBN-13: 9783540522102 / Angielski / Miękka / 1990 / 145 str.

Dieter W. Heermann

Opis

In this textbook the major numerical methods used in different branches of science are presented. In addition, exercises are included, as well as complete programmes of several algorithms.

Spis treści

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 Dynamics.- 3.1.3 Isothermal-Isobaric Ensemble Molecular Dynamics.- Problems.- 4. Stochastic Methods.- 4.1 Preliminaries.- 4.2 Brownian Dynamics.- 4.3 Monte-Carlo Method.- 4.3.1 Microcanonical Ensemble Monte-Carlo Method.- 4.3.2 Canonical Ensemble Monte-Carlo Method.- 4.3.3 Isothermal-Isobaric Ensemble Monte-Carlo Method.- 4.3.4 Grand Ensemble Monte-Carlo Method.- Problems.- A 1. Random Number Generators.- A2. Program Listings.- References.