Topics In Spatial And Dynamical Phase Transitions Of Interacting Particle Systems
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Author | : Herbert Spohn |
Publisher | : Springer Science & Business Media |
Total Pages | : 346 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642843719 |
This book deals with one of the fundamental problems of nonequilibrium statistical mechanics: the explanation of large-scale dynamics (evolution differential equations) from models of a very large number of interacting particles. This book addresses both researchers and students. Much of the material presented has never been published in book-form before.
Author | : Thomas M. Liggett |
Publisher | : Springer Science & Business Media |
Total Pages | : 346 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662039907 |
Interactive particle systems is a branch of probability theory with close connections to mathematical physics and mathematical biology. This book takes three of the most important models in the area, and traces advances in our understanding of them since 1985. It explains and develops many of the most useful techniques in the field.
Author | : G.R. Grimmett |
Publisher | : Springer Science & Business Media |
Total Pages | : 334 |
Release | : 2013-04-17 |
Genre | : Science |
ISBN | : 9401583269 |
This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.
Author | : Enzo Olivieri |
Publisher | : Cambridge University Press |
Total Pages | : 540 |
Release | : 2005-02-21 |
Genre | : Mathematics |
ISBN | : 9780521591638 |
Author | : Matthias Birkner |
Publisher | : World Scientific |
Total Pages | : 363 |
Release | : 2020-02-24 |
Genre | : Mathematics |
ISBN | : 9811206104 |
Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology. Genealogies, which follow the origin of the state of a site backwards in time, play an important role in their studies, especially for the biologically motivated systems.The program Genealogies of Interacting Particle Systems held at the Institute for Mathematical Sciences, National University of Singapore, from 17 July to 18 Aug 2017, brought together experts and young researchers interested in this modern topic. Central to the program were learning sessions where lecturers presented work outside of their own research, as well as a normal workshop. This is reflected in the present volume which contains two types of articles:Written by respected researchers, including experts in the field such as Steve Evans, member of the US National Academy of Sciences, as well as Anton Wakolbinger, Andreas Greven, and many others, this volume will no doubt be a valuable contribution to the probability community.
Author | : Roberto Livi |
Publisher | : Cambridge University Press |
Total Pages | : 439 |
Release | : 2017-10-05 |
Genre | : Science |
ISBN | : 1107049547 |
A comprehensive and pedagogical text on nonequilibrium statistical physics, covering topics from random walks to pattern formation.
Author | : Richard Durrett |
Publisher | : Wadsworth Publishing Company |
Total Pages | : 352 |
Release | : 1988 |
Genre | : Science |
ISBN | : |
Author | : H. T. Banks |
Publisher | : SIAM |
Total Pages | : 250 |
Release | : 2003-01-01 |
Genre | : Technology & Engineering |
ISBN | : 9780898717518 |
Bioterrorism: Mathematical Modeling Applications in Homeland Security collects the detailed contributions of selected groups of experts from the fields of biostatistics, control theory, epidemiology, and mathematical biology who have engaged in the development of frameworks, models, and mathematical methods needed to address some of the pressing challenges posed by acts of terror. The ten chapters of this volume touch on a large range of issues in the subfields of biosurveillance, agroterrorism, bioterror response logistics, deliberate release of biological agents, impact assessment, and the spread of fanatic behaviors.
Author | : Andreas Deutsch |
Publisher | : Springer Science & Business Media |
Total Pages | : 331 |
Release | : 2007-12-26 |
Genre | : Science |
ISBN | : 0817644156 |
This book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena, resulting from complex cellular interactions, cannot be deduced solely from experimental analysis, but can be more easily examined using mathematical models, in particular, cellular automaton models. While there are various books treating cellular automaton modeling, this interdisciplinary work is the first one covering biological applications. The book is aimed at researchers, practitioners, and students in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science interested in a cellular automaton approach to biological modeling.
Author | : |
Publisher | : |
Total Pages | : 792 |
Release | : 1998 |
Genre | : Mathematical physics |
ISBN | : |
Focuses on fundamental mathematical and computational methods underpinning physics. Relevant to statistical physics, chaotic and complex systems, classical and quantum mechanics, classical and quantum integrable systems and classical and quantum field theory.