e-book
A Guide to Monte Carlo Simulations in Statistical Physics
This new and updated deals with all aspects of Monte Carlo simulation of
complex physical systems encountered in condensed-matter physics and statistical
mechanics as well as in related fields, for example polymer science,
lattice gauge theory and protein folding.
After briefly recalling essential background in statistical mechanics and probability
theory, the authors give a succinct overview of simple sampling methods.
The next several chapters develop the importance sampling method,
both for lattice models and for systems in continuum space. The concepts
behind the various simulation algorithms are explained in a comprehensive
fashion, as are the techniques for efficient evaluation of system configurations
generated by simulation (histogram extrapolation, multicanonical sampling,
Wang-Landau sampling, thermodynamic integration and so forth). The fact
that simulations deal with small systems is emphasized. The text incorporates
various finite size scaling concepts to show how a careful analysis of finite size
effects can be a useful tool for the analysis of simulation results. Other
chapters also provide introductions to quantum Monte Carlo methods,
aspects of simulations of growth phenomena and other systems far from
equilibrium, and the Monte Carlo Renormalization Group approach to critical
phenomena. A brief overview of other methods of computer simulation
is given, as is an outlook for the use of Monte Carlo simulations in disciplines
outside of physics. Many applications, examples and exercises are provided
throughout the book. Furthermore, many new references have been added to
highlight both the recent technical advances and the key applications that
they now make possible.
This is an excellent guide for graduate students who have to deal with
computer simulations in their research, as well as postdoctoral researchers,
in both physics and physical chemistry. It can be used as a textbook for
graduate courses on computer simulations in physics and related disciplines.
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