Author: Jesper Dall
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description

Author: Michael Cross
Publisher: Cambridge University Press
ISBN: 0521770505
Category : Mathematics
Languages : en
Pages : 547

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Book Description
An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.

Author: Yaneer Bar-yam
Publisher: CRC Press
ISBN: 0429717598
Category : Mathematics
Languages : en
Pages : 866

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Book Description
This book aims to develop models and modeling techniques that are useful when applied to all complex systems. It adopts both analytic tools and computer simulation. The book is intended for students and researchers with a variety of backgrounds.

Author: Ashok Sengupta
Publisher: Springer Science & Business Media
ISBN: 3540317562
Category : Computers
Languages : en
Pages : 373

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Book Description
This book explores non-extensive statistical mechanics in non-equilibrium thermodynamics, and presents an overview of the strong nonlinearity of chaos and complexity in natural systems, drawing on relevant mathematics from topology, measure-theory, inverse and ill-posed problems, set-valued analysis, and nonlinear functional analysis. It offers a self-contained theory of complexity and complex systems as the steady state of non-equilibrium systems, denoting a homeostatic dynamic equilibrium between stabilizing order and destabilizing disorder.

Author: Eric Bertin
Publisher: Springer Nature
ISBN: 3030799492
Category : Science
Languages : en
Pages : 303

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Book Description
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.

Author: Albert S. Kim
Publisher: BoD – Books on Demand
ISBN: 1839680776
Category : Science
Languages : en
Pages : 198

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Book Description
All engineering processes are processes of non-equilibrium because one or all of heat, mass, and momentum transfer occur in an open system. The pure equilibrium state can be established in an isolated system, in which neither mass nor heat is transferred between the system and the environment. Most engineering transport analyses are based on the semi-, quasi-, or local equilibrium assumptions, which assume that any infinitesimal volume can be treated as a box of equilibrium. This book includes various aspects of non-equilibrium or irreversible statistical mechanics and their relationships with engineering applications. I hope that this book contributes to expanding the predictability of holistic engineering consisting of thermo-, fluid, and particle dynamics.

Author: F. Mallamace
Publisher: IOS Press
ISBN: 1614992193
Category : Science
Languages : en
Pages : 802

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Book Description
This volume focuses on the area of the physics of complex systems and provides both an overview of the field and more detailed examination of those topics within the field that are currently of greatest interest to researchers. The properties of complex systems play an important role in a variety of different and overlapping areas in physics, chemistry, biology, mathematics and technology. The research field of complex systems is very broad, but this volume attempts to be comprehensive. This book is a useful reference work for researchers in this area, whether graduate students or advanced academics. Up-to-date reviews of cutting-edge topics are provided, compiled by leading authorities and designed to both broaden the reader's insight and encourage the exploration of new problems in related fields. An overview of the present status of the physics of complex systems is provided on the following general topics: (1) scaling behaviours; (2) supramolecular systems; (3) aggregation, aggregation kinetics and disorderly growth mechanisms; (4) granularly matter; (5) polymers, associating polymers, polyelectrolytes and gels; (6) amphiphiles, emulsions, colloids, membranes and interface phenomena; (7) molecular motors; (8) phase separation and out of equilibrium dynamics; (9) turbulence, chaos and chaotic dynamics; (10) glass transition, supercooled fluids and (11) geometrically constrained dynamics.

Author: Tim Langen
Publisher: Springer
ISBN: 3319185640
Category : Science
Languages : en
Pages : 154

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Book Description
This work presents a series of experiments with ultracold one-dimensional Bose gases, which establish said gases as an ideal model system for exploring a wide range of non-equilibrium phenomena. With the help of newly developed tools, like full distributions functions and phase correlation functions, the book reveals the emergence of thermal-like transient states, the light-cone-like emergence of thermal correlations and the observation of generalized thermodynamic ensembles. This points to a natural emergence of classical statistical properties from the microscopic unitary quantum evolution, and lays the groundwork for a universal framework of non-equilibrium physics. The thesis investigates a central question that is highly contested in quantum physics: how and to which extent does an isolated quantum many-body system relax? This question arises in many diverse areas of physics, and many of the open problems appear at vastly different energy, time and length scales, ranging from high-energy physics and cosmology to condensed matter and quantum information. A key challenge in attempting to answer this question is the scarcity of quantum many-body systems that are both well isolated from the environment and accessible for experimental study.

Author: Rainer Klages
Publisher: John Wiley & Sons
ISBN: 3527658726
Category : Science
Languages : en
Pages : 402

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Book Description
This book offers a comprehensive picture of nonequilibrium phenomena in nanoscale systems. Written by internationally recognized experts in the field, this book strikes a balance between theory and experiment, and includes in-depth introductions to nonequilibrium fluctuation relations, nonlinear dynamics and transport, single molecule experiments, and molecular diffusion in nanopores. The authors explore the application of these concepts to nano- and biosystems by cross-linking key methods and ideas from nonequilibrium statistical physics, thermodynamics, stochastic theory, and dynamical systems. By providing an up-to-date survey of small systems physics, the text serves as both a valuable reference for experienced researchers and as an ideal starting point for graduate-level students entering this newly emerging research field.

Author: Christian Maes
Publisher: Springer
ISBN: 3319677802
Category : Science
Languages : en
Pages : 56

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Book Description
This book introduces and discusses both the fundamental aspects and the measurability of applications of time-symmetric kinetic quantities, outlining the features that constitute the non-dissipative branch of non-equilibrium physics. These specific features of non-equilibrium dynamics have largely been ignored in standard statistical mechanics texts. This introductory-level book offers novel material that does not take the traditional line of extending standard thermodynamics to the irreversible domain. It shows that although stationary dissipation is essentially equivalent with steady non-equilibrium and ubiquitous in complex phenomena, non-equilibrium is not determined solely by the time-antisymmetric sector of energy-entropy considerations. While this should not be very surprising, this book provides timely, simple reminders of the role of time-symmetric and kinetic aspects in the construction of non-equilibrium statistical mechanics.