A Concise Introduction To The Statistical Physics Of Complex Systems

Author : Eric Bertin
Publisher : Springer Science & Business Media
ISBN 13 : 3642239234
Total Pages : 85 pages
Book Rating : 4.36/5 ( download)

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Download or read book A Concise Introduction to the Statistical Physics of Complex Systems written by Eric Bertin and published by Springer Science & Business Media. This book was released on 2011-09-28 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise primer (based on lectures given at summer schools on complex systems and on a masters degree course in complex systems modeling) will provide graduate students and newcomers to the field with the basic knowledge of the concepts and methods of statistical physics and its potential for application to interdisciplinary topics. Indeed, in recent years, statistical physics has begun to attract the interest of a broad community of researchers in the field of complex system sciences, ranging from biology to the social sciences, economics and computer science. More generally, a growing number of graduate students and researchers feel the need to learn some basic concepts and questions originating in other disciplines without necessarily having to master all of the corresponding technicalities and jargon. Generally speaking, the goals of statistical physics may be summarized as follows: on the one hand to study systems composed of a large number of interacting ‘entities’, and on the other to predict the macroscopic (or collective) behavior of the system considered from the microscopic laws ruling the dynamics of the individual ‘entities’. These two goals are, to some extent, also shared by what is nowadays called ‘complex systems science’ and for these reasons, systems studied in the framework of statistical physics may be considered as among the simplest examples of complex systems—allowing in addition a rather well developed mathematical treatment.

Author : Eric Bertin
Publisher : Springer Nature
ISBN 13 : 3030799492
Total Pages : 303 pages
Book Rating : 4.96/5 ( download)

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Download or read book Statistical Physics of Complex Systems written by Eric Bertin and published by Springer Nature. This book was released on 2021-09-27 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition of Statistical Physics of Complex Systems has been expanded to provide more examples of applications of concepts and methods from statistical physics to the modeling of complex systems. These include avalanche dynamics in materials, models of social agents like road traffic or wealth repartition, the real space aspects of biological evolution dynamics, propagation phenomena on complex networks, formal neural networks and their connection to constraint satisfaction problems. This course-tested textbook provides graduate students and non-specialists with a basic understanding of the concepts and methods of statistical physics and demonstrates their wide range of applications to interdisciplinary topics in the field of complex system sciences, including selected aspects of theoretical modeling in biology and the social sciences. It covers topics such as non-conserved particles, evolutionary population dynamics, networks, properties of both individual and coupled simple dynamical systems, and convergence theorems, as well as short appendices that offer helpful hints on how to perform simple stochastic simulations in practice. The original spirit of the book is to remain accessible to a broad, non-specialized readership. The format is a set of concise, modular, and self-contained topical chapters, avoiding technicalities and jargon as much as possible, and complemented by a wealth of worked-out examples, so as to make this work useful as a self-study text or as textbook for short courses.

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ISBN 13 :
Total Pages : pages
Book Rating : 4.33/5 ( download)

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Download or read book Statistical Physics of Complex Systems written by and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Eric Bertin
Publisher : Springer
ISBN 13 : 3319423401
Total Pages : 172 pages
Book Rating : 4.01/5 ( download)

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Download or read book Statistical Physics of Complex Systems written by Eric Bertin and published by Springer. This book was released on 2016-10-14 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This course-tested primer provides graduate students and non-specialists with a basic understanding of the concepts and methods of statistical physics and demonstrates their wide range of applications to interdisciplinary topics in the field of complex system sciences, including selected aspects of theoretical modeling in biology and the social sciences. Generally speaking, the goals of statistical physics may be summarized as follows: on the one hand to study systems composed of a large number of interacting units, and on the other to predict the macroscopic, collective behavior of the system considered from the perspective of the microscopic laws governing the dynamics of the individual entities. These two goals are essentially also shared by what is now called 'complex systems science,' and as such, systems studied in the framework of statistical physics may be considered to be among the simplest examples of complex systems – while also offering a rather well developed mathematical treatment. The second edition has been significantly revised and expanded, featuring in particular three new chapters addressing non-conserved particles, evolutionary population dynamics, networks, properties of both individual and coupled simple dynamical systems, and convergence theorems, as well as short appendices that offer helpful hints on how to perform simple stochastic simulations in practice. Yet, the original spirit of the book – to remain accessible to a broad, non-specialized readership – has been kept throughout: the format is a set of concise, modular and self-contained topical chapters, avoiding technicalities and jargon as much as possible, and complemented by a wealth of worked-out examples, so as to make this work useful as a self-study text or as textbook for short courses. From the reviews of the first edition: “... a good introduction to basic concepts of statistical physics and complex systems for students and researchers with an interest in complex systems in other fields ... .” Georg Hebermehl, Zentralblatt MATH, Vol. 1237, 2012 “... this short text remains very refreshing for the mathematician.” Dimitri Petritis, Mathematical Reviews, Issue 2012k

Author : Gregoire Nicolis
Publisher : World Scientific
ISBN 13 : 981277565X
Total Pages : 343 pages
Book Rating : 4.58/5 ( download)

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Download or read book Foundations of Complex Systems written by Gregoire Nicolis and published by World Scientific. This book was released on 2007 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: A geometric process is a simple monotone process that was first introduced by the author in 1988. It is a generalization of renewal process. This book captures the extensive research work on geometric processes that has been done since then in both probability and statistics theory and various applications. Some results are published for the first time. A reference book for researchers and a handbook for practioners, it is also a useful textbook for postgraduate or senior undergraduate students.

Author : Antonio M. Scarfone
Publisher : MDPI
ISBN 13 : 3038974692
Total Pages : 203 pages
Book Rating : 4.97/5 ( download)

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Download or read book New Trends in Statistical Physics of Complex Systems written by Antonio M. Scarfone and published by MDPI. This book was released on 2019-01-28 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "New Trends in Statistical Physics of Complex Systems" that was published in Entropy

Author : F. Mallamace
Publisher : IOS Press
ISBN 13 : 1614990115
Total Pages : 638 pages
Book Rating : 4.16/5 ( download)

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Download or read book The Physics of Complex Systems (New Advances and Perspectives) written by F. Mallamace and published by IOS Press. This book was released on 2004-11-24 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is widely known that complex systems and complex materials comprise a major interdisciplinary scientific field that draws on mathematics, physics, chemistry, biology, and medicine as well as such social sciences as economics. The role of statistical physics in this new field has been expanding. Statistical physics has shown how phenomena and processes in different research areas that have long been assumed to be unrelated can have a common description. Through the application of statistical physics, methods developed for studying order phenomena in simple systems and processes have been generalized to more complex systems. The two conceptual pillars in this approach are scaling and universality. This volume focuses on recent advances and perspectives in the physics of complex systems and provides both an overview of the field and a more detailed examination of the new ideas and unsolved problems that are currently attracting the attention of researchers. This book should be a useful reference work for anyone interested in this area, whether beginning graduate student or advanced research professional. It provides up-to-date reviews on cutting-edge topics compiled by leading authorities and is designed to both broaden the reader’s competence within their own field and encourage the exploration of new problems in related fields.

Author : Claudine Hermann
Publisher : Springer Science & Business Media
ISBN 13 : 0387250999
Total Pages : 279 pages
Book Rating : 4.91/5 ( download)

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Download or read book Statistical Physics written by Claudine Hermann and published by Springer Science & Business Media. This book was released on 2006-01-26 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Physics bridges the properties of a macroscopic system and the microscopic behavior of its constituting particles, otherwise impossible due to the giant magnitude of Avogadro's number. Numerous systems of today's key technologies - such as semiconductors or lasers - are macroscopic quantum objects; only statistical physics allows for understanding their fundamentals. Therefore, this graduate text also focuses on particular applications such as the properties of electrons in solids with applications, and radiation thermodynamics and the greenhouse effect.

Author : Luca Peliti
Publisher : Princeton University Press
ISBN 13 : 0691145296
Total Pages : 418 pages
Book Rating : 4.97/5 ( download)

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Download or read book Statistical Mechanics in a Nutshell written by Luca Peliti and published by Princeton University Press. This book was released on 2011-08-28 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise introduction to statistical mechanics Statistical mechanics is one of the most exciting areas of physics today, and it also has applications to subjects as diverse as economics, social behavior, algorithmic theory, and evolutionary biology. Statistical Mechanics in a Nutshell offers the most concise, self-contained introduction to this rapidly developing field. Requiring only a background in elementary calculus and elementary mechanics, this book starts with the basics, introduces the most important developments in classical statistical mechanics over the last thirty years, and guides readers to the very threshold of today's cutting-edge research. Statistical Mechanics in a Nutshell zeroes in on the most relevant and promising advances in the field, including the theory of phase transitions, generalized Brownian motion and stochastic dynamics, the methods underlying Monte Carlo simulations, complex systems—and much, much more. The essential resource on the subject, this book is the most up-to-date and accessible introduction available for graduate students and advanced undergraduates seeking a succinct primer on the core ideas of statistical mechanics. Provides the most concise, self-contained introduction to statistical mechanics Focuses on the most promising advances, not complicated calculations Requires only elementary calculus and elementary mechanics Guides readers from the basics to the threshold of modern research Highlights the broad scope of applications of statistical mechanics

Author : Shamik Gupta
Publisher : Springer
ISBN 13 : 3319966642
Total Pages : 121 pages
Book Rating : 4.49/5 ( download)

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Download or read book Statistical Physics of Synchronization written by Shamik Gupta and published by Springer. This book was released on 2018-08-28 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces and discusses the analysis of interacting many-body complex systems exhibiting spontaneous synchronization from the perspective of nonequilibrium statistical physics. While such systems have been mostly studied using dynamical system theory, the book underlines the usefulness of the statistical physics approach to obtain insightful results in a number of representative dynamical settings. Although it is intractable to follow the dynamics of a particular initial condition, statistical physics allows to derive exact analytical results in the limit of an infinite number of interacting units. Chapter one discusses dynamical characterization of individual units of synchronizing systems as well as of their interaction and summarizes the relevant tools of statistical physics. The latter are then used in chapters two and three to discuss respectively synchronizing systems with either a first- or a second-order evolution in time. This book provides a timely introduction to the subject and is meant for the uninitiated as well as for experienced researchers working in areas of nonlinear dynamics and chaos, statistical physics, and complex systems.