Numerical Simulation in Molecular Dynamics: Numerics, Algorithms, Parallelization, Applications

Front Cover
Springer Science & Business Media, Aug 16, 2007 - Science - 476 pages

Particle models play an important role in many applications in physics, chemistry and biology. They can be studied on the computer with the help of molecular dynamics simulations. This book presents in detail both the necessary numerical methods and techniques (linked-cell method, SPME-method, tree codes, multipole technique) and the theoretical background and foundations. It illustrates the aspects modelling, discretization, algorithms and their parallel implementation with MPI on computer systems with distributed memory. Furthermore, detailed explanations are given to the different steps of numerical simulation, and code examples are provided. With the description of the algorithms and the presentation of the results of various simulations from the areas material science, nanotechnology, biochemistry and astrophysics, the reader of this book will be able to write his own programs for molecular dynamics step by step and to run successful experiments.

 

Contents

Computer Simulation a Key Technology
1
From the Schrödinger Equation to Molecular Dynamics 17
16
The Linked Cell Method for ShortRange Potentials
37
Parallelization
113
Extensions to More Complex Potentials and Molecules
151
Time Integration Methods 211
210
MeshBased Methods for LongRange Potentials
239
Tree Algorithms for LongRange Potentials 313
312
Applications from Biochemistry and Biophysics
391
Prospects 413
412
References
431
Index
467
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