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Percolation theory deals with clustering, criticality, diffusion, fractals, phase transitions and disordered systems. It provides a quantitative model for understanding these phenomena, and therefore provides a theoretical, statistical background to many physical and natural science disciplines. The scope of this book covers the basic theory for the graduate while it also reaches into the specialized fields of disordered systems and renormalization groups. Readers are expected to be able to handle some fundamental mathematical procedures such as integration and differentiation of single variable functions, probability and statistics. They will also find it useful if they have some computer programming experience for example in Fortran. While percolation is treated as being a fundamentally physical concept, its relevance to various natural and living systems is addressed. Much of the book deals with systems lying close to the critical point phase transition point, where the subject is at its most interesting and sensitive. This book should be of value to all those who deal with systems which exhibit critical points and phase transition behaviour. eBook available with sample pages: 0203211596
This textbook takes the reader on a tour of the most important
landmarks of theoretical physics: classical, quantum, and
statistical mechanics, relativity, electrodynamics, as well as the
most modern and exciting of all: elementary particles and the
physics of fractals. The second edition has been supplemented with
a new chapter devoted to concise though complete presentation of
dynamical systems, bifurcations and chaos theory. The treatment is
confined to the essentials of each area, presenting all the central
concepts and equations at an accessible level. Chapters 1 to 4
contain the standard material of courses in theoretical physics and
are supposed to accompany lectures at the university; thus they are
rather condensed. They are supposed to fill one year of teaching.
Chapters 5 and 6, in contrast, are written less condensed since
this material may not be part of standard lectures and thus could
be studied without the help of a university teacher. An appendix on
elementary particles lies somewhere in between: It could be a
summary of a much more detailed course, or studied without such a
course. Illustrations and numerous problems round off this unusual
textbook. It will ideally accompany the students all along their
course in theoretical physics and prove indispensable in preparing
and revising the exams. It is also suited as a reference for
teachers or scientists from other disciplines who are interested in
the topic.
This textbook takes the reader on a tour of the most important
landmarks of theoretical physics: classical, quantum, and
statistical mechanics, relativity, electrodynamics, as well as the
most modern and exciting of all: elementary particles and the
physics of fractals. The second edition has been supplemented with
a new chapter devoted to concise though complete presentation of
dynamical systems, bifurcations and chaos theory. The treatment is
confined to the essentials of each area, presenting all the central
concepts and equations at an accessible level. Chapters 1 to 4
contain the standard material of courses in theoretical physics and
are supposed to accompany lectures at the university; thus they are
rather condensed. They are supposed to fill one year of teaching.
Chapters 5 and 6, in contrast, are written less condensed since
this material may not be part of standard lectures and thus could
be studied without the help of a university teacher. An appendix on
elementary particles lies somewhere in between: It could be a
summary of a much more detailed course, or studied without such a
course. Illustrations and numerous problems round off this unusual
textbook. It will ideally accompany the students all along their
course in theoretical physics and prove indispensable in preparing
and revising the exams. It is also suited as a reference for
teachers or scientists from other disciplines who are interested in
the topic.
The book requires only rudimentary physics knowledge but ability to
program computers creatively and to keep the mind open to simple
and not so simple models, based in individuals, for the living
world around us.
* Interdisciplinary coverage
* Research oriented
* Contains and explains programs
* Based on recent discoveries
* Little special knowledge required besides programming
* Suitable for undergraduate and graduate research projects
This book for physicists, biologists, computer scientists,
economists or social scientists shows in selected examples how
computer simulation methods which are typical to statistical
physics have been applied in other areas outside of physics. Our
main part deals with the biology of ageing, while other examples
are the functioning of the immune system, the structure of DNA, the
fluctuations on the stock market, theories for sociology and for
World War II. Are leaky water faucets similar to our heartbeats?
Throughout the book we emphasize microscopic models dealing with
the action of individuals, whether they are cells of the immune
system or traders speculating on the currency market. Complete
computer programs are given and explained for biological ageing.
The references try to introduce the expert from the covered other
fields to the relevant physics literature; and they also show the
physicists the way into the biological literature on ageing.
From Newton to Mandelbrot takes the student on a tour of the most
important landmarks of theoretical physics: classical, quantum, and
statistical mechanics, relativity, electrodynamics, and, the most
modern and exciting of all, the physics of fractals. The treatment
is confined to the essentials of each area, and short computer
programs, numerous problems, and beautiful color illustrations
round off this unusual textbook. Ideally suited for a one-year
course in theoretical physics it will also prove useful in
preparing and revising for exams. This edition is corrected and
includes a new appendix on elementary particle physics, answers to
all short questions, and a diskette where a selection of executable
programs exploring the fractal concept can be found.
Computer Simulation and Computer Algebra. Starting from simple
examples in classical mechanics, these introductory lectures
proceed to simulations in statistical physics (using FORTRAN) and
then explain in detail the use of computer algebra (by means of
Reduce). This third edition takes into account the most recent
version of Reduce (3.4.1) and updates the description of
large-scale simulations to subjects such as the 170000 X 170000
Ising model. Furthermore, an introduction to both vector and
parallel computing is given.
In seiner zweiten Auflage ist dieses Buch bei aller K}rze noch
vielseitiger geworden: Dem kanonischen Stoff eines zweisemestrigen
Theoriekurses f}gte der Autor einen aktuellen Anhang }ber
Elementarteilchen-Theorie hinzu. Die Breite der Themenauswahl und
die klare Sprache gew{hren Haupt- und Nebenfachstudenten den
]berblick, der in Vorlesungen h{ufig zu kurz kommt. Zahlreiche,
leicht nachvollziehbare Computerprogramme zeigen, wie die Physik
"arbeitet" und geben dem Studierenden selbst Anregung zum
Experimentieren am Computer. Die komprimierte Darstellung sowie 126
Fragen und Aufgaben machen das Buch in der hei en Phase vor dem
Vordiplom unentbehrlich.
In this fifth volume of the authoritative series, the simulation of
forest fires, flames, and hydrodynamics is presented in the first
three articles. The next two deal with quantum simulations, in
particular for two dimensions (quantum Hall effect and monolayers).
Biology is connected with the last two articles: we learn from
biological evolution to complement computer hardware and software
with evolware, or we simulate immunology.
This series of books covers all areas of computational physics,
collecting together reviews where a newcomer can learn about the
state of the art regarding methods and results. Articles are
submitted by e-mail before deadlines which are kept by the
editor.Biologically motivated simulations, glasses, world-record
molecular dynamics, deposition on surfaces, and hydrodynamics are
discussed in this volume which ends with an explanation of
elementary particle physics (QCD) and their phase transitions.
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