Monte Carlo Methods in Statistical Physics [E-Book] / edited by Kurt Binder.
Binder, Kurt, (editor)
Second Edition.
Berlin, Heidelberg : Springer, 1986
XVIII, 416 p. 5 illus. online resource.
englisch
9783642828034
10.1007/978-3-642-82803-4
Topics in Current Physics ; 7
Full Text
Table of Contents:
  • 1. Introduction: Theory and “Technical” Aspects of Monte Carlo Simulations (With 5 Figures)
  • 1.1 Purpose of the Monte Carlo Method
  • 1.2 Description of the Monte Carlo Technique in Classical Statistical Mechanics
  • 1.3 Aspects of Simulations of Kinetic Processes
  • 1.4 Variants of the Monte Carlo Method
  • 1.5 Conclusions
  • References
  • Addendum
  • 2. Simulation of Classical Fluids.
  • 2.1 Overview
  • 2.2 Hard Core and Discontinous Potentials
  • 2.3 Soft Short-Range Potentials
  • 2.4 Ionic Systems
  • 2.5 Molecular Fluids
  • 2.6 Gas-Liquid Interface
  • References
  • 3. Phase Diagrams of Mixtures and Magnetic Systems (With 13 Figures)
  • 3.1 Ordinary Phase Transitions in Magnets and Binary Alloys
  • 3.2 Multicritical Points and Crossover Behavior
  • 3.3 Phase Transitions in Miscellaneous Systems
  • 3.4 Conclusions
  • References
  • Addendum
  • 4. Quantum Many-Body Problems (With 4 Figures)
  • Abstract
  • 4.1 Introductory Remarks
  • 4.2 Variational Methods
  • 4.3 Nearly Classical Systems
  • 4.4 The Green’s Function Monte Carlo Method (GFMC)
  • 4.5 Virial Coefficients and Pair Correlations
  • 4.6 Conclusions
  • References
  • 5. Simulation of Small Systems. (With 9 Figures)
  • 5.1 Introductory Remarks
  • 5.2 Statics
  • 5.3 Cluster Dynamics
  • Cluster Counting Algorithm
  • References
  • Addendum
  • 6. Monte Carlo Studies of Relaxation Phenomena: Kinetics of Phase Changes and Critical Slowing Down. (With 15 Figures)
  • 6.1 Introductory Remarks
  • 6.2 Kinetics of Fluctuations in Thermal Equilibrium
  • 6.3 Kinetics of Nonlinear Relaxation
  • 6.4 Conclusions and Outlook
  • References
  • 7. Monte Carlo Simulation of Crystal Growth (With 17 Figures)
  • 7.1 Introductory Remarks
  • 7.2 Crystal Surfaces at Equilibrium
  • 7.3 Growth Kinetics
  • 7.4 Outlook
  • References
  • 8. Monte Carlo Studies of Systems with Disorder (With 17 Figures)
  • 8.1 Dilute Impurities in Magnets
  • 8.2 Dilute Ferromagnets and the Percolation Problem
  • 8.3 Spin Glasses
  • 8.4 Disordered Heteropolymers and Their Helix-Coil Transition
  • 8.5 Structurally Disordered Solids (Glasses etc.)
  • 8.6 Conclusions and Outlook
  • References
  • 9. Applications in Surface Physics. (With 11 Figures)
  • 9.1 Introductory Remarks
  • 9.2 Critical Behavior of Magnetic Systems with Surfaces
  • 9.3 Surface Effects in Binary Alloys
  • 9.4 Phase Transitions in Adsorbed Surface Layers
  • 9.5 Kinetic Phenomena at Surfaces
  • 9.6 Conclusions
  • References
  • Addendum
  • 10. Recent Trends in the Development and Application of the Monte Carlo Method. (With 6 Figures)
  • 10.1 Performance of Monte Carlo Programs
  • 10.2 Some Comments on Finite-Size Effects
  • 10.3 New Directions for the Application of the Monte Carlo Method
  • 10.4 Quantum Statistical Mechanics on Lattices
  • 10.5 Concluding Remarks
  • References
  • Addendum.