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Critical Dynamics

Critical Dynamics
Author: Uwe C. Täuber
Publisher: Cambridge University Press
Total Pages: 529
Release: 2014-03-06
Genre: Science
ISBN: 0521842239

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A comprehensive and unified introduction to describing and understanding complex interacting systems.


The Functional Role of Critical Dynamics in Neural Systems

The Functional Role of Critical Dynamics in Neural Systems
Author: Nergis Tomen
Publisher: Springer
Total Pages: 287
Release: 2019-07-23
Genre: Medical
ISBN: 3030209652

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This book offers a timely overview of theories and methods developed by an authoritative group of researchers to understand the link between criticality and brain functioning. Cortical information processing in particular and brain function in general rely heavily on the collective dynamics of neurons and networks distributed over many brain areas. A key concept for characterizing and understanding brain dynamics is the idea that networks operate near a critical state, which offers several potential benefits for computation and information processing. However, there is still a large gap between research on criticality and understanding brain function. For example, cortical networks are not homogeneous but highly structured, they are not in a state of spontaneous activation but strongly driven by changing external stimuli, and they process information with respect to behavioral goals. So far the questions relating to how critical dynamics may support computation in this complex setting, and whether they can outperform other information processing schemes remain open. Based on the workshop “Dynamical Network States, Criticality and Cortical Function", held in March 2017 at the Hanse Institute for Advanced Studies (HWK) in Delmenhorst, Germany, the book provides readers with extensive information on these topics, as well as tools and ideas to answer the above-mentioned questions. It is meant for physicists, computational and systems neuroscientists, and biologists.


The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics

The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics
Author: A.N. Vasil'ev
Publisher: CRC Press
Total Pages: 704
Release: 2004-04-28
Genre: Science
ISBN: 1134389663

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This volume provides a general field-theoretical picture of critical phenomena and stochastic dynamics and helps readers develop a practical skill for calculations. This education on the practical skill sets this book apart: it is the first to give a full technical introduction to the field. Both general ideas and ...hard... calculations are presen


Principles and Dynamics of the Critical Zone

Principles and Dynamics of the Critical Zone
Author:
Publisher: Elsevier
Total Pages: 674
Release: 2015-06-18
Genre: Science
ISBN: 0444634126

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Principles and Dynamics of the Critical Zone is an invaluable resource for undergraduate and graduate courses and an essential tool for researchers developing cutting-edge proposals. It provides a process-based description of the Critical Zone, a place that The National Research Council (2001) defines as the "heterogeneous, near surface environment in which complex interactions involving rock, soil, water, air, and living organisms regulate the natural habitat and determine the availability of life-sustaining resources." This text provides a summary of Critical Zone research and outcomes from the NSF funded Critical Zone Observatories, providing a process-based description of the Critical Zone in a wide range of environments with a specific focus on the important linkages that exist amongst the processes in each zone. This book will be useful to all scientists and students conducting research on the Critical Zone within and outside the Critical Zone Observatory Network, as well as scientists and students in the geosciences – atmosphere, geomorphology, geology and pedology. The first text to address the principles and concepts of the Critical Zone A comprehensive approach to the processes responsible for the development and structure of the Critical Zone in a number of environments An essential tool for undergraduate and graduate students, and researchers developing cutting-edge proposals


Large Scale Dynamics of Interacting Particles

Large Scale Dynamics of Interacting Particles
Author: Herbert Spohn
Publisher: Springer Science & Business Media
Total Pages: 346
Release: 2012-12-06
Genre: Science
ISBN: 3642843719

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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.


Dynamics of Ordering Processes in Condensed Matter

Dynamics of Ordering Processes in Condensed Matter
Author: S. Komura
Publisher: Springer Science & Business Media
Total Pages: 571
Release: 2012-12-06
Genre: Science
ISBN: 1461310199

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The International Symposium on Dynamics of Ordering Processes in Condensed Matter was held at the Kansai Seminar House, Kyoto, for four days, from 27 to 30 August 1987, under the auspices of the Physical Soci ety of Japan. The symposium was financially supported by the four orga nizations and 45 companies listed on other pages in this volume. We are very grateful to all of them and particularly to the greatest sponsor, the Commemorative Association for the Japan World Exposition 1970. A total Df 22 invited lectures and 48 poster presentations were given and 110 participants attended from seven nations. An objective of the Symposium was to review and extend our present understanding of the dynamics of ordering processes in condensed matters, (for example, alloys, polymers and fluids), that are brought to an un stable state by sudden change of such external parameters as temperature and pressure. A second objective, no less important, was to identify new fields of science that might be investigated by similar, but sometimes more sophisticated, concepts and tactics. An emphasis was laid on those universal aspects of the laws governing the ordering processes which transcended the detailed differences among the substances used. The 71 lectures reproduced in this volume bear witness to the success of the Symposium in meeting amply the first objective and, to a lesser extent, the second.


Dynamics Beyond Uniform Hyperbolicity

Dynamics Beyond Uniform Hyperbolicity
Author: Christian Bonatti
Publisher: Springer Science & Business Media
Total Pages: 390
Release: 2006-03-30
Genre: Mathematics
ISBN: 3540268448

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What is Dynamics about? In broad terms, the goal of Dynamics is to describe the long term evolution of systems for which an "infinitesimal" evolution rule is known. Examples and applications arise from all branches of science and technology, like physics, chemistry, economics, ecology, communications, biology, computer science, or meteorology, to mention just a few. These systems have in common the fact that each possible state may be described by a finite (or infinite) number of observable quantities, like position, velocity, temperature, concentration, population density, and the like. Thus, m the space of states (phase space) is a subset M of an Euclidean space M . Usually, there are some constraints between these quantities: for instance, for ideal gases pressure times volume must be proportional to temperature. Then the space M is often a manifold, an n-dimensional surface for some n


Running Critical

Running Critical
Author: Patrick Tyler
Publisher: HarperCollins Publishers
Total Pages: 410
Release: 1986
Genre: Biography & Autobiography
ISBN:

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Like an Indecent Exposure of the defense industry, Running Critical is an expose of the General Dynamics scandal told by the only reporter who had exclusive access to the secret documents of both General Dynamics and the U.S. Navy. 16-page photo insert.


The Science of Hysteresis: Physical modeling, micromagnetics, and magnetization dynamics

The Science of Hysteresis: Physical modeling, micromagnetics, and magnetization dynamics
Author: I. D. Mayergoyz
Publisher: Gulf Professional Publishing
Total Pages: 664
Release: 2006
Genre: Science
ISBN: 9780123694324

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Volume 1 covers: * Mathematical models * Differential equations * Stochastic aspects of hysteresis * Binary detection using hysteresis * Models of unemployment in economics Volume 2 covers: * Physical models of magnetic hysteresis * All aspects of magnetisation dynamics Volume 3 covers: * Hysteresis phenomena in materials * Over 2100 pages, rich with supporting illustrations, figures and equations * Contains contributions from an international list of authors, from a wide-range of disciplines * Covers all aspects of hysteresis - from differential equations, and binary detection, to models of unemployment and magnetisation dynamics.


Statics and Dynamics of Nonlinear Systems

Statics and Dynamics of Nonlinear Systems
Author: Giorgio Benedek
Publisher: Springer Science & Business Media
Total Pages: 318
Release: 2012-12-06
Genre: Science
ISBN: 3642821359

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The investigation of the properties of nonlinear systems is one of the fast deve loping areas of physics. In condensed matter physics this 'terra incognita' is approached from various starting points such as phase transitions and renormali zation group theory, nonlinear models, statistical mechanics and others. The study of the mutual interrelations of these disciplines is important in developing uni fying methods and models towards a better understanding of nonlinear systems. The present book collects the lectures and seminars delivered at the workshop on "Statics and Dynamics of Nonlinear Systems" held at the Centre for SCientific Culture "Ettore Majorana·" in Erice;· Italy, July 1 to 11, 1983, in the framework of the International School of Materials Science and Technology. Experts and young researchers came together to discuss nonlinear phenomena in condensed matter physics. The book is divided into five parts, each part containing a few general artic les introducing the subject, followed by related specialized papers. The first part deals with basic properties of nonlinear systems including an introduction to the general theoretical methods. Contrfbutions to the nonlinear aspects of phase transitions are collected in the second part. In the third part properties of incommensurate systems are discussed. Here, competing interactions lead to charge-density waves, soliton lattices and other complex structures. Another point of special interest, illustrated in the fourth part, is the 'chaotic' be havior of various systems such as Josephson junctions and discrete lattices.