Noise in Spatially Extended Systems
Noise in Spatially Extended Systems

Author: Jordi Garcia-Ojalvo

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 314

ISBN-13: 1461215366

DOWNLOAD EBOOK

Intended for graduates and researchers in physics, chemistry, biology, and applied mathematics, this book provides an up-to-date introduction to current research in fluctuations in spatially extended systems. It covers the theory of stochastic partial differential equations and gives an overview of the effects of external noise on dynamical systems with spatial degrees of freedom. Starting with a general introduction to noise-induced phenomena in dynamical systems, the text moves on to an extensive discussion of analytical and numerical tools needed to gain information from stochastic partial differential equations. It then turns to particular problems described by stochastic PDEs, covering a wide part of the rich phenomenology of spatially extended systems, such as nonequilibrium phase transitions, domain growth, pattern formation, and front propagation. The only prerequisite is a minimal background knowledge of the Langevin and Fokker-Planck equations.

Introduction To Stochastic Processes And Nonequilibrium Statistical Physics, An (Revised Edition)
Introduction To Stochastic Processes And Nonequilibrium Statistical Physics, An (Revised Edition)

Author: Horacio Sergio Wio

Publisher: World Scientific Publishing Company

Published: 2012-09-05

Total Pages: 319

ISBN-13: 9814434639

DOWNLOAD EBOOK

This book aims to provide a compact and unified introduction to the most important aspects in the physics of non-equilibrium systems. It first introduces stochastic processes and some modern tools and concepts that have proved their usefulness to deal with non-equilibrium systems from a purely probabilistic angle. The aim is to show the important role played by fluctuations in far-from-equilibrium situations, where noise can promote order and organization, switching among non-equilibrium states, etc. The second part adopts a more historical perspective, retracing the first steps taken from the purely thermodynamic as well as from the kinetic points of view to depart (albeit slightly) from equilibrium. The third part revisits the path outlined in the first one, but now undertakes the mesoscopic description of extended systems, where new phenomena (patterns, long-range correlations, scaling far from equilibrium, etc.) are observed.This book is a revised and extended version of an earlier edition published in 1994. It includes topics of current research interest in far-from-equilibrium situations like noise-induced phenomena and free energy-like functionals, surface growth and roughening, etc. It can be used as an advanced textbook by graduate students in physics. It also covers topics of current interest in other disciplines and interdisciplinary approaches in engineering, biophysics, and economics, among others. The level of detail in the book is enough to capture the interest of the reader and facilitate the path to more learning by exploring the modern research literature provided. At the same time, the book is also complete enough to be self-contained for those readers who just need an overview of the subject.

Quantitative Physiology
Quantitative Physiology

Author: Shangbin Chen

Publisher: Springer Nature

Published: 2021-02-09

Total Pages: 246

ISBN-13: 9813340339

DOWNLOAD EBOOK

Stephen Hawking says that the 21st century will be the century of complexity and indeed now systems biology or medicine means dealing with complexity. Both the genome and physiome have emerged in studying complex physiological systems. Computational and mathematical modeling has been regarded as an efficient tool to boost the understanding about living systems in normal or pathophysiological states. Covering applied methodology, basic case studies and complex applications, this volume provides researchers with an overview of modeling and computational studies of physiology (i.e. quantitative physiology), which is becoming an increasingly important branch of systems biology. This book aims to build multi-scale models to investigate functions in living systems and explain how biomolecules, cells, organs, organ systems and organisms carry out the chemical or physical functions. Some of the models addressed are related to gene expression, calcium signalling, neural activity, blood dynamics and bone mechanics. Combining theory and practice, with extensive use of MATLAB, this book is designed to establish a paradigm for quantitative physiology by integrating biology, mathematics, physics and informatics etc. To benefit from this book, the readers are expected to have a background in general physiology and mathematics

Transverse Patterns in Nonlinear Optical Resonators
Transverse Patterns in Nonlinear Optical Resonators

Author: Kestutis Staliunas

Publisher: Springer Science & Business Media

Published: 2003-02-27

Total Pages: 234

ISBN-13: 3540004343

DOWNLOAD EBOOK

The growth of regularity from disorder, the evolution from the simple towards the complex, and the spontaneous formation of spatio temporal patterns in general are questions which intrigue everybody. This has been one of the hasic philosophical topics from ancient to modern times. Is nature able to create something fundamentally new by itself? If yes, how does this creation occurs? Or does nature only reproduce something which was already encoded in it, from the very beginning? This remained a topic exclusively for philoso phers until very recently, and it was only a few decades a. go that physicists started to convert this seemingly purely philosophical subject into a scientific discipline: a scientific discipline like other scientific disciplines, where one re lies on formulas and equations, on nunlerical simulations, and on laboratory experiments. This book is not about general questions related to pattern formation and self organization in nature. It is about spontaneous patterns in just one part of nature in nonlinear optical systems, and, more precisely, in nonlinear optical resonators. Nonlinear optical systems represent a small part of nature, hut a very representative part: one can observe here nearly all the known symmetries of patterns, one can generate nearly all known types of localized strlictlires and one can realize nearly all known spatial instabilities and spatial bifurcations.

Complex Time-Delay Systems
Complex Time-Delay Systems

Author: Fatihcan M. Atay

Publisher: Springer

Published: 2010-03-10

Total Pages: 336

ISBN-13: 3642023290

DOWNLOAD EBOOK

One of the major contemporary challenges in both physical and social sciences is modeling, analyzing, and understanding the self-organization, evolution, behavior, and eventual decay of complex dynamical systems ranging from cell assemblies to the human brain to animal societies. The multi-faceted problems in this domain require a wide range of methods from various scienti?c disciplines. There is no question that the inclusion of time delays in complex system models considerably enriches the challenges presented by the problems. Although this inclusion often becomes inevitable as real-world applications demand more and more realistic m- els, the role of time delays in the context of complex systems so far has not attracted the interest it deserves. The present volume is an attempt toward ?lling this gap. There exist various useful tools for the study of complex time-delay systems. At the forefront is the mathematical theory of delay equations, a relatively mature ?eld in many aspects, which provides some powerful techniques for analytical inquiries, along with some other tools from statistical physics, graph theory, computer science, dynamical systems theory, probability theory, simulation and optimization software, and so on. Nevertheless, the use of these methods requires a certain synergy to address complex systems problems, especially in the presence of time delays.

Collective Beings
Collective Beings

Author: Gianfranco Minati

Publisher: Springer Science & Business Media

Published: 2006-12-26

Total Pages: 474

ISBN-13: 0387359419

DOWNLOAD EBOOK

This book offers an overview on the background to systemics. It introduces the concept of Collective Being as a Multiple System established by processes of emergence and self-organization of the same agents simultaneously or dynamically interacting in different ways. The principles underlying this approach are grounded on the theoretical role of the observer. This view allows to model in a more suitable way complex systems, such as in physics, biology and economics.

Dynamical Systems
Dynamical Systems

Author: Jean-Marc Gambaudo

Publisher: World Scientific

Published: 2000

Total Pages: 328

ISBN-13: 9789810242176

DOWNLOAD EBOOK

This book focuses on the interactions between discrete and geometric dynamical systems, and between dynamical systems and theoretical physics and computer science. Accordingly, the contributions revolve around two main topics: (1) interaction between geometric and symbolic systems, with emphasis on tiling problems for quasicrystals, substitutions and their multidimensional generalizations, geodesic and horocycle flow, adic systems; (2) dynamical systems: geometry and chaos, with special interest in smooth ergodic theory, statistical and multifractal properties of chaotic systems, stability and turbulence in extended complex systems.

Advances in Condensed Matter and Statistical Physics
Advances in Condensed Matter and Statistical Physics

Author: Elka Korutcheva

Publisher: Nova Publishers

Published: 2004

Total Pages: 394

ISBN-13: 9781590338995

DOWNLOAD EBOOK

This book collects recent results in systems whose evolutions are dominated by fluctuations, driven systems in which the way to dissipate driving forces is relevant, and systems in which disorder induces highly non-trivial dynamics leading naturally to questions of computational complexity. Topics of the 14 papers include multiplicative noise in non-equilibrium phase transitions, the stochastic population dynamics of spiking neurons, anomalous velocity distributions in elastic Maxwell gases, universality issues in surface kinetic roughening of thin solid films, and multi-state neural networks based upon spin glasses. Some of the chapters have appeared in the arXiv.org database. No information is given about the authors. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).

Nonlinear Dynamics of Nanosystems
Nonlinear Dynamics of Nanosystems

Author: Günter Radons

Publisher: John Wiley & Sons

Published: 2010-01-12

Total Pages: 475

ISBN-13: 9783527629381

DOWNLOAD EBOOK

A discussion of the fundamental changes that occur when dynamical systems from the fields of nonlinear optics, solids, hydrodynamics and biophysics are scaled down to nanosize. The authors are leading scientists in the field and each of their contributions provides a broader introduction to the specific area of research. In so doing, they include both the experimental and theoretical point of view, focusing especially on the effects on the nonlinear dynamical behavior of scaling, stochasticity and quantum mechanics. For everybody working on the synthesis and integration of nanoscopic devices who sooner or later will have to learn how to deal with nonlinear effects.