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The sixth edition of this highly successful textbook provides a
detailed introduction to Monte Carlo simulation in statistical
physics, which deals with the computer simulation of many-body
systems in condensed matter physics and related fields of physics
and beyond (traffic flows, stock market fluctuations, etc.). Using
random numbers generated by a computer, these powerful simulation
methods calculate probability distributions, making it possible to
estimate the thermodynamic properties of various systems. The book
describes the theoretical background of these methods, enabling
newcomers to perform such simulations and to analyse their results.
It features a modular structure, with two chapters providing a
basic pedagogic introduction plus exercises suitable for university
courses; the remaining chapters cover major recent developments in
the field. This edition has been updated with two new chapters
dealing with recently developed powerful special algorithms and
with finite size scaling tools for the study of interfacial
phenomena, which are important for nanoscience. Previous editions
have been highly praised and widely used by both students and
advanced researchers.
Our aim in this book is to present and enlarge upon those aspects
of parallel computing that are needed by practitioners of
computational science. Today al most all classical sciences, such
as mathematics, physics, chemistry and biology, employ numerical
methods to help gain insight into nature. In addition to the
traditional numerical methods, such as matrix inversions and the
like, a whole new field of computational techniques has come to
assume central importance, namely the numerical simulation methods.
These methods are much less fully developed than those which are
usually taught in a standard numerical math ematics course.
However, they form a whole new set of tools for research in the
physical sciences and are applicable to a very wide range of
problems. At the same time there have been not only enormous
strides forward in the speed and capability of computers but also
dramatic new developments in computer architecture, and
particularly in parallel computers. These improvements offer
exciting prospects for computer studies of physical systems, and it
is the new techniques and methods connected with such computer
simulations that we seek to present in this book, particularly in
the light of the possibilities opened up by parallel computers. It
is clearly not possible at this early stage to write a definitive
book on simulation methods and parallel computing."
Computational methods pertaining to many branches of science, such
as physics, physical chemistry and biology, are presented. The text
is primarily intended for third-year undergraduate or first-year
graduate students. However, active researchers wanting to learn
about the new techniques of computational science should also
benefit from reading the book. It treats all major methods,
including the powerful molecular dynamics method, Brownian dynamics
and the Monte-Carlo method. All methods are treated equally from a
theroetical point of view. In each case the underlying theory is
presented and then practical algorithms are displayed, giving the
reader the opportunity to apply these methods directly. For this
purpose exercises are included. The book also features complete
program listings ready for application.
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