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40. Monte Carlo Methods In Statistical Physics


This book provides a clear, self-contained and authoritative introduction to Monte Carlo simulations in classical statistical physics. It is written both for students who are just beginning work in the field and for more experienced researchers who wish to expand their knowledge of Monte Carlo techniques.

The material covered includes methods for both equilibrium and out-of-equilibrium systems. Common algorithms like the Metropolis and heat-bath algorithms are described in detail, as well as more sophisticated ones such as continuous time Monte Carlo, cluster algorithms, multigrid methods, entropic sampling and simulated tempering. Many example applications are discussed ranging from simple models such as Ising models and spin glasses to real-world problems like molecular beam epitaxy and polymer electrophoresis. Data analysis techniques are also explained, starting with straightforward measurement and error-estimation, and progressing to topics such as the single and multiple histogram methods and finite size scaling. The last few chapters of the book are devoted to implementation issues, including discussions of such topics as lattice representations, efficient implementation of data structures, multispin coding, parallelization of Monte Carlo algorithms, and random number generation. Exercises for the reader are included at the end of each chapter and a number of example programs demonstrating the efficient implementation of Monte Carlo techniques are given at the end of the book.

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2. The Art of Molecular Dynamics Simulation

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¡¾×÷Õß¡¿Dennis C Rapaport

¡¾³ö°æÕß¡¿Cambridge University Press

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     This book describes the extremely powerful technique of molecular dynamics simulation, which involves solving the classical many-body problem in contexts relevant to the study of matter at the atomic level. The method allows the prediction of the static and dynamic properties of substances directly from the underlying interactions between the molecules. Because there is no alternative approach capable of handling such a broad range of problems at the required level of detail, molecular dynamics methods have proved themselves indispensable in both pure and applied research. This volume will be of value to advanced students and researchers in physics, chemistry, polymer science and materials science in universities and industrial laboratories.

Contents
Preface

1 Introduction

2 Basic MD approach
soft-disk fluid, methodology, programming, equilibration, sample results.

3 Simulating simple systems
equations of motion, potential functions, interaction computations, integration methods, initial state, efficiency, trajectory sensitivity.

4 Equilibrium properties of simple fluids
thermodynamics, structure, Voronoi polyhedra, clusters.

5 Dynamical properties of simple fluids
transport coefficients, space-time correlation functions.

6 Alternative ensembles
feedback and constraint methods for constant temperature and pressure.

7 Nonequilibrium dynamics
homogeneous and inhomogeneous systems, sheared flow, heat transport.

8 Rigid molecules
dynamics, molecular construction, water, properties, hydrogen bonds.

9 Flexible molecules
polymer chains, properties.

10 Geometrically constrained molecules
solving the constraint problem, internal forces, alkane chains, properties.

11 Other interactions
long-range forces, three-body potentials, dipole fluid, liquid silicon.

12 Step potentials
computational scheme, events, results, generalizations.

13 Time-dependent phenomena
open systems, thermal convection, obstructed flow.

14 Algorithms for supercomputers
MD algorithms for distributed- and vector-processing computers.

15 The future

Appendices
data management, organizing extensive computations, utility functions, list of variables.

Bibliography

Indices
function index, subject index.

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4. Understanding Molecular Simulation From Algorithms to Applications

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ISBN: 0122673700
Title: Understanding Molecular Simulation: From Algorithms to Applications 1996-08
Author: Daan Frenkel, Berend Smit
Publisher: Academic Press
Publication Date: 1996-08
Number Of Pages: 443
Average Amazon Rating: 4.5
Summary:
Computer simulation techniques have become almost essential in the study of the macro-molecular phenomena and phase behavior on the molecular level. As these techniques become increasingly important, it is necessaryto realize that they are useful tools, but are not the goals of research. With this important distinction in mind, Understanding Molecular Simulation describes simulation techniques along with the physics behind the phenomena that these techniques simulate.
Each chapter is comprised of three components: the general theoretical basis, an outline of the necessary computer code, and a few applications which illustrate the use of the technique demonstrated. The chapters also include examples of the typical practical problems that could be solved using each technique.

Key Features
* Gives a unified presentation of computational tools used to study molecular systems in the equilibrium state
* Describes simulation techniques and physics behind the phenomena simulated
* Emphasizes important topics of phase behavior and computer simulation of macro-molecular (polymer-type) substances
* Includes references to the authors home page where additional information from the authors can be found


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