Applications of the Monte Carlo Method in Statistical Physics

Monte Carlo computer simulations are now a standard tool in scientific fields such as condensed-matter physics, including surface-physics and applied-physics problems (metallurgy, diffusion, and segregation, etc. ), chemical physics, including studies of solutions, chemical reactions, polymer statis...

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Bibliographic Details
Other Authors: Binder, K. (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1984, 1984
Edition:1st ed. 1984
Series:Topics in Current Physics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. A Simple Introduction to Monte Carlo Simulation and Some Specialized Topics
  • 1.1 A First Guide to Monte Carlo Sampling
  • 1.2 Special Topics
  • 1.3 Conclusion
  • Appendix. 1.A. Multispin Coding
  • References
  • Notes Added in Proof
  • 2. Recent Developments in the Simulation of Classical Fluids
  • 2.1 Some Recent Methodological Developments
  • 2.2 Simple Monatomic Fluids
  • 2.3 Coulombic Systems
  • 2.4 Molecular Liquids
  • 2.5 Solutions
  • 2.6 Surfaces and Interfaces
  • 2.7 Conclusion
  • References
  • 3. Monte Carlo Studies of Critical and Multicritical Phenomena
  • 3.1 Two-Dimensional Lattice-Gas Ising Models
  • 3.2 Surfaces and Interfaces
  • 3.3 Three-Dimensional Binary-Alloy Ising Models
  • 3.4 Potts Models
  • 3.5 Continuous Spin Models
  • 3.6 Dynamic Critical Behavior
  • 3.7 Other Models
  • 3.8 Conclusion and Outlook
  • References
  • 4. Few- and Many-Fermion Problems
  • 4.1 Review of the GFMC Method
  • 4.2 The Short Time Approximation
  • 4.3 The Fermion Problem and the Method of Transient Estimation
  • 4.4 The Fixed Node Approximation
  • 4.5 An Exact Solution for Few-Fermion Systems
  • 4.6 Speculations and Conclusions
  • References
  • 5. Simulations of Polymer Models
  • 5.1 Background
  • 5.2 Variants of the Monte Carlo Sampling Techniques
  • 5.3 Equilibrium Configurations
  • 5.4 Polymer Dynamics
  • 5.5 Conclusions and Outlook
  • References
  • 6. Simulation of Diffusion in Lattice Gases and Related Kinetic Phenomena
  • 6.1 General Aspects of Monte Carlo Approaches to Dynamic Phenomena
  • 6.2 Diffusion in Lattice-Gas Systems in Equilibrium
  • 6.3 Diffusion and Domain Growth in Systems far from Equilibrium
  • 6.4 Conclusion
  • References
  • 7. Roughening and Melting in Two Dimensions
  • 7.1 Introductory Remarks
  • 7.2 Roughening Transition
  • 7.3 Melting Transition
  • References
  • 8. Monte Carlo Studies of“Random” Systems
  • 8.1 General Introduction
  • 8.2 Spin Glasses
  • 8.3 Other Systems with Random Interactions
  • 8.4 Percolation Theory
  • 8.5 Conclusion
  • References
  • Note Added in Proof
  • 9. Monte Carlo Calculations in Lattice Gauge Theories
  • 9.1 Lattice Gauge Theories: Fundamental Notions
  • 9.2 General Monte Carlo Results for Lattice Gauge Systems
  • 9.3 Monte Carlo Determination of Physical Observables
  • References
  • Additional References with Titles