A Concise Introduction to the Statistical Physics of Complex Systems

A Concise Introduction to the Statistical Physics of Complex Systems
Author: Eric Bertin
Publisher: Springer Science & Business Media
Total Pages: 85
Release: 2011-09-28
Genre: Science
ISBN: 3642239234

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.

Modeling Complex Systems

Modeling Complex Systems
Author: Nino Boccara
Publisher: Springer Science & Business Media
Total Pages: 490
Release: 2010-09-09
Genre: Computers
ISBN: 1441965629

This book illustrates how models of complex systems are built up and provides indispensable mathematical tools for studying their dynamics. This second edition includes more recent research results and many new and improved worked out examples and exercises.

Physics in a New Era

Physics in a New Era
Author: National Research Council
Publisher: National Academies Press
Total Pages: 203
Release: 2001-07-15
Genre: Science
ISBN: 0309073421

Physics at the beginning of the twenty-first century has reached new levels of accomplishment and impact in a society and nation that are changing rapidly. Accomplishments have led us into the information age and fueled broad technological and economic development. The pace of discovery is quickening and stronger links with other fields such as the biological sciences are being developed. The intellectual reach has never been greater, and the questions being asked are more ambitious than ever before. Physics in a New Era is the final report of the NRC's six-volume decadal physics survey. The book reviews the frontiers of physics research, examines the role of physics in our society, and makes recommendations designed to strengthen physics and its ability to serve important needs such as national security, the economy, information technology, and education.

Foundations of Complex Systems

Foundations of Complex Systems
Author: G. Nicolis
Publisher: World Scientific
Total Pages: 343
Release: 2007
Genre: Mathematics
ISBN: 9812700439

Complexity is emerging as a post-Newtonian paradigm for approaching a large body of phenomena of concern at the crossroads of physical, engineering, environmental, life and human sciences from a unifying point of view. This book outlines the foundations of modern complexity research as it arose from the cross-fertilization of ideas and tools from nonlinear science, statistical physics and numerical simulation. It is shown how these developments lead to an understanding, both qualitative and quantitative, of the complex systems encountered in nature and in everyday experience and, conversely, how natural complexity acts as a source of inspiration for progress at the fundamental level.

Foundations of Complex-system Theories

Foundations of Complex-system Theories
Author: Sunny Y. Auyang
Publisher: Cambridge University Press
Total Pages: 422
Release: 1998
Genre: Business & Economics
ISBN: 9780521778268

Analyzes approaches to the study of complexity in the physical, biological, and social sciences.

Stochastic Transport in Complex Systems

Stochastic Transport in Complex Systems
Author: Andreas Schadschneider
Publisher: Elsevier
Total Pages: 585
Release: 2010-10-01
Genre: Science
ISBN: 0080560520

The first part of the book provides a pedagogical introduction to the physics of complex systems driven far from equilibrium. In this part we discuss the basic concepts and theoretical techniques which are commonly used to study classical stochastic transport in systems of interacting driven particles. The analytical techniques include mean-field theories, matrix product ansatz, renormalization group, etc. and the numerical methods are mostly based on computer simulations. In the second part of the book these concepts and techniques are applied not only to vehicular traffic but also to transport and traffic-like phenomena in living systems ranging from collective movements of social insects (for example, ants) on trails to intracellular molecular motor transport. These demonstrate the conceptual unity of the fundamental principles underlying the apparent diversity of the systems and the utility of the theoretical toolbox of non-equilibrium statistical mechanics in interdisciplinary research far beyond the traditional disciplinary boundaries of physics. - Leading industry experts provide a broad overview of the interdisciplinary nature of physics - Presents unified descriptions of intracellular, ant, and vehicular traffic from a physics point of view - Applies theoretical methods in practical everyday situations - Reference and guide for physicists, engineers and graduate students

An Introduction to Complex Systems

An Introduction to Complex Systems
Author: Joe Tranquillo
Publisher: Springer
Total Pages: 405
Release: 2019-02-13
Genre: Technology & Engineering
ISBN: 3030025896

This book explores the interdisciplinary field of complex systems theory. By the end of the book, readers will be able to understand terminology that is used in complex systems and how they are related to one another; see the patterns of complex systems in practical examples; map current topics, in a variety of fields, to complexity theory; and be able to read more advanced literature in the field. The book begins with basic systems concepts and moves on to how these simple rules can lead to complex behavior. The author then introduces non-linear systems, followed by pattern formation, and networks and information flow in systems. Later chapters cover the thermodynamics of complex systems, dynamical patterns that arise in networks, and how game theory can serve as a framework for decision making. The text is interspersed with both philosophical and quantitative arguments, and each chapter ends with questions and prompts that help readers make more connections. “The text provides a useful overview of complex systems, with enough detail to allow a reader unfamiliar with the topic to understand the basics. The book stands out for its comprehensiveness and approachability. It will be particularly useful as a text for introductory physics courses. Tranquillo’s strength is in delivering a vast amount of information in a succinct manner.... A reader can find information quickly and efficiently—that is, in my opinion, the book’s greatest value.” (Stefani Crabtree, Physics Today)

Introduction to the Theory of Complex Systems

Introduction to the Theory of Complex Systems
Author: Stefan Thurner
Publisher:
Total Pages: 431
Release: 2018
Genre: Social sciences
ISBN: 9780191861062

Complex systems are everywhere. Ecosystems, financial markets, traffic, the economy, the internet and social media are complex systems. This textbook summarizes our understanding of complex systems and the methodological progress made over the past 20 years in a clear, structured, and comprehensive way.