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A Guide to Monte Carlo Simulations in Statistical Physics,
Second Edition
This new and updated deals with all aspects of Monte Carlo simulation of
complex physical systems encountered in condensed-matter physics and sta-
tistical 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 prob-
ability theory, the authors give a succinct overview of simple sampling meth-
ods. 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 cri-
tical 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.
D
AVID
P. L
ANDAU
was born on June 22, 1941 in St. Louis, MO, USA. He
received a BA in Physics from Princeton University in 1963 and a Ph.D. in
Physics from Yale University in 1967. His Ph.D. research involved experi-
mental studies of magnetic phase transitions as did his postdoctoral research
at the CNRS in Grenoble, France. After teaching at Yale for a year he moved
to the University of Georgia and initiated a research program of Monte Carlo
studies in statistical physics. He is currently the Distinguished Research
Professor of Physics and founding Director of the Center for Simulational
Physics at the University of Georgia. He has been teaching graduate courses
in computer simulations since 1982. David Landau has authored/co-
authored more than 330 research publications and is editor/co-editor of
more than 20 books. He is a Fellow of the American Physical Society and
a past Chair of the Division of Computational Physics of the APS. He
received the Jesse W. Beams award from SESAPS in 1987, and a
Humboldt Fellowship and Humboldt Senior US Scientist award in 1975
and 1988 respectively. The University of Georgia named him a Senior
Teaching Fellow in 1993. In 1998 he also became an Adjunct Professor at
the Helsinki University of Technology. In 1999 he was named a Fellow of the
Japan Society for the Promotion of Science. In 2002 he received the Aneesur
Rahman Prize for Computational Physics from the APS, and in 2003 the
Lamar Dodd Award for Creative Research from the University of Georgia. In
2004 he became the Senior Guangbiao Distringuished Professor (Visiting) at
Zhajiang in China. He is currently a Principal Editor for the journal Computer
Physics Communications.
K
URT
B
INDER
was born on February 10, 1944 in Korneuburg, Austria, and
then lived in Vienna, where he received his Ph.D. in 1969 at the Technical
University of Vienna. Even then his thesis dealt with Monte Carlo simula-
tions of Ising and Heisenberg magnets, and since then he has pioneered the
development of Monte Carlo simulation methods in statistical physics. From
1969 until 1974 Kurt Binder worked at the Technical University in Munich,
where he defended his Habilitation thesis in 1973 after a stay as IBM post-
doctoral fellow in Zurich in 1972/73. Further key times in his career were
spent at Bell Laboratories, Murray Hill, NJ (1974), and a first appointment as
Professor of Theoretical Physics at the University of Saarbr¨cken back in
Germany (1974–1977), followed by a joint appointment as full professor at
the University of Cologne and the position as one of the directors of the
Institute of Solid State Research at J
¨
lich (1977–1983). He has held his
present position as Professor of Theoretical Physics at the University of
Mainz, Germany, since 1983, and since 1989 he has also been an external
member of the Max-Planck-Institut for Polymer Research at Mainz. Kurt
Binder has written more than 800 research publications and edited 5 books
dealing with computer simulation. His book (with Dieter W. Heermann)
Monte Carlo Simulation in Statistical Physics: An Introduction, first published
in 1988, is in its fourth edition. Kurt Binder has been a corresponding
member of the Austrian Academy of Sciences in Vienna since 1992 and
received the Max Planck Medal of the German Physical Society in 1993.
He also acts as Editorial Board member of several journals and has served as
Chairman of the IUPAP Commission on Statistical Physics. In 2001 he was
awarded the Berni Alder CECAM prize from the European Physical Society.
AGuideto
Monte Carlo Simulations in
Statistical Physics
Second Edition
David P. Landau
Center for Simulational Physics, The University of Georgia
Kurt Binder
Institut f
¨
r Physik, Johannes-Gutenberg-Universit¨t Mainz
cambridge university press
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Cambridge University Press
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cb2 2ru
,UK
Published in the United States of America by Cambridge University Press, New York
www.cambridge.org
© David P. Landau and Kurt Binder 2000
This publication is in copyright. Subject to statutory exception and to the provision of
relevant collective licensing agreements, no reproduction of any part may take place
without the written permission of Cambridge University Press.
First published in print format
2005
isbn-13 978-0-511-13098-4
eBook (NetLibrary)
eBook (NetLibrary)
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isbn-13 978-0-521-84238-9
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isbn-10 0-521-84238-7
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