Fluctuation Phenomena: Disorder And Nonlinearity - Proceedings Of The International Workshop PDF Download
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Author: Luis Vazquez
Publisher: World Scientific
ISBN: 9814603775
Category :
Languages : en
Pages : 444
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Book Description
This book addresses the issues of nonlinearity and disorder. It covers mathematical and numerical techniques as well as applications of nonlinearity and disorder. The analysis of continuous and discrete systems is also shown.
Author: Luis Vazquez
Publisher: World Scientific
ISBN: 9814603775
Category :
Languages : en
Pages : 444
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Book Description
This book addresses the issues of nonlinearity and disorder. It covers mathematical and numerical techniques as well as applications of nonlinearity and disorder. The analysis of continuous and discrete systems is also shown.
Author: A. R. Bishop
Publisher:
ISBN:
Category :
Languages : en
Pages : 526
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Book Description
Author: Salvador Jiménez
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789810221553
Category : Science
Languages : en
Pages : 426
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Book Description
This book addresses the issues of nonlinearity and disorder. It covers mathematical and numerical techniques as well as applications of nonlinearity and disorder. The analysis of continuous and discrete systems is also shown.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 411
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Book Description
Author: Alan R. Bishop
Publisher: Springer Science & Business Media
ISBN: 3642748937
Category : Science
Languages : en
Pages : 151
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Book Description
ill the past three decades there has been enonnous progress in identifying the es sential role that "nonlinearity" plays in physical systems. Classical nonlinear wave equations can support localized, stable "soliton" solutions, and nonlinearities in quantum systems can lead to self-trapped excitations, such as polarons. Since these nonlinear excitations often dominate the transport and response properties of the systems in which they exist, accurate modeling of their effects is essential to interpreting a wide range of physical phenomena. Further, the dramatic de velopments in "deterministic chaos", including the recognition that even simple nonlinear dynamical systems can produce seemingly random temporal evolution, have similarly demonstrated that an understanding of chaotic dynamics is vital to an accurate interpretation of the behavior of many physical systems. As a conse quence of these two developments, the study of nonlinear phenomena has emerged as a subject in its own right. During these same three decades, similar progress has occurred in understand ing the effects of "disorder". Stimulated by Anderson's pioneering work on "dis ordered" quantum solid state materials, this effort has also grown into a field that now includes a variety of classical and quantum systems and treats "disorder" arising from many sources, including impurities, random spatial structures, and stochastic applied fields. Significantly, these two developments have occurred rather independently, with relatively little overlapping research.
Author: E Montroll
Publisher: Elsevier
ISBN: 0444601562
Category : Science
Languages : en
Pages : 358
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Book Description
Studies in Statistical Mechanics, Volume VII: Fluctuation Phenomena Fluctuation explores different aspects of fluctuation behavior and their relation to microscopic processes and other phenomena, including the nucleation of a new phase following the quenching of a system into the coexistence region. It looks at phenomenological fluctuation theories, stochastic processes such as Markoff and momentless processes, and stochastic geometric aspects of amorphous solids. Comprised of five chapters, this volume begins with an overview of fluctuations and the Ehrenfest dog-flea model. It then turns to a discussion of density fluctuations in dilute gases, the Langevin theory of Brownian motion, and classical diffusion and random walks. It also systematically introduces the reader to the statistical mechanical theory of the kinetics of phase transitions, the molecular theory of metastability, and multidimensional continuous time random walks, along with the effect of boundaries and defects onf stochastic processes. In addition, it describes the phenomenological theory of the kinetics of nucleation and its application to nucleation, spinodal decomposition, and condensation. Other chapters focus on a stochastic model for the kinetics of phase transitions, the physical ideas used in theories of metastability, and the importance of dynamics in the study of metastability. The book explains how to estimate the escape rate and describes the statistical mechanics of clusters before concluding with a discussion of slowly-varying ensembles. This book is a valuable resource for students, physicists, and researchers who want to gain more knowledge and learn about statistical mechanics in general and fluctuation phenomena in particular.
Author: Luis Vazquez
Publisher: World Scientific
ISBN: 9814546526
Category :
Languages : en
Pages : 422
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Book Description
This proceedings volume is devoted to simulation and parallel computing related to nonlinear problems. One of its fundamental aims is the study of how the efforts of computer and computational scientists may be combined to develop most modern simulation environments of nonlinear systems.
Author: 张戬坤
Publisher: 光大出版社
ISBN: 9881998786
Category : Architecture
Languages : en
Pages : 452
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Book Description
Chapter Zero The Substitute Preface Ⅰ The Civilization of Sages and Worthies and Modern Civilization Ⅱ Knowledge of Wisdom Chapter One The Level of Worlds Ⅰ The Three Great Worlds of Matter, Energy and Information 1. The Relationship between Matter, Energy and Information 2. The Law of Period and Cycle 3. The pure information structure with no information structure II Altruism is Human Nature III The Universe is Unified in Ground State Information IV All Appearances are Empty and False. Chapter Two The Generation of All Things in the Universe Lecture One Concerning the Evolution of the Universe Lecture Two Theories and Mechanism of Evolution I Evolutionary Theories in Eastern and Western Cultures The Cosmic String theory and Taiji Tu Shuo Exposition on the great wisdom in Yi Jing Emptiness is produced in the great perception. Dao produces one; the one produces two; the two produces three. II All Dharmas are the Creation of the Mind. Chapter Three Problems Related to Epistemology I Several Problems concerning Epistemology 1. “Water Knows” proves the non-duality of subject and object and unity of heaven and man 2. The pollution of human mind leads to environmental pollution 3. The “Sudden insight” in the History of Science 4. Direct manifestation and comparative manifestation II Understanding Concerning Time and Space III Sages’ Theories Concerning Knowledge Understanding of differences Turn consciousness into wisdom; go from difference to non-difference 3. Zhuang Zi’s theory on knowledge 4. Desire-based and desire-free cognitive channels 5. The pursuit of learning and the pursuit of Dao 6. There is only one; “Only the self is solely honored.” Chapter Four Order and Disorder I The Open System II Stay Away from the Equilibrium State III Nonlinear Effect IV Fluctuation Effect V The Division of the Ten Dharma Realms VI Brief Introduction to the Four Basic Laws of Thermodynamics VII Development and Evolution VIII The Phenomenon of Self-organization and Others Chapter Five The Phenomenon of the World is Discovered According to Karma I Everything is an Upside-down perception displayed by Consciousness only. II All Appearances Are Empty and False. III The World Discovered is Based on the Karma Created. 1. The information structure of the “S” line 2. Greed, anger and stupidity result in flood, fire and wind. 3. Discovery made according to karma; capacity measured based on knowledge. 4. Show kindness and compassion for creatures and be a vegetarian. 5. Stop doing evil but do good IV The Great Wisdom of Sages Chapter Six Life Forms and the Value of Life Part 1 The Phenomenon of Life I The Phenomenon of Life 1. The software-- the core of life 2. The cycle of life 3. Improve your software and upgrade your life form. 4. Four Types of Life Form II Correct Outlooks on Life and Values Part 2 The Essence of Life I The Composition of Life 1. The relationship between software and hardware 2. Information structure determines life form. 3. The value of life and the summoning of goodness and evilness II The Value and Significance of life III Self-reflection and Practice Chapter Seven Polarization and Depolarization I. The Sages’ Theories on Evolution and Return 1. “Dao” is zero and Wuji 2. Zhou Dunyi: Wuji transforms into Taiji; Taiji is originally Wuji. 3. “The two produces three.” “The three produces all things.” II What is “interact in unseen force to achieve harmony”? 1. Inductions and feelings are “unseen force” 2. The whole universe is connected through feeling and induction. III Polarization and Evolution of the World in the Eyes of the Buddha Chapter Eight The Way of Great Learning I Eastern and Western Cultures are to be integrated II Three States of World Existence 1. The three states embodied by the human body 2. Different systems of the human body III The Way of Great Learning, a Means of Increasing the amount of Information 1. Do not impose on others what you yourself do not desire; Manifest the bright virtue 2. “Love the people”- the great mind of same-body compassion 3. “Rest in the supreme goodness” Chapter Nine Movement and Change I The Mechanism of Movement 1. All movements are expressions of difference 2. The shadow of the flying bird does not move. 3. Study the culture of sages and worthies to open wisdom. II How do movement and change occur? 1. Things spring up in the very spot where they also come to an end. 2. The ultimate goal of human civilization III The Law of Movement and Change 1. The chain of cause and condition 2. Spot the reality through the dharma of cause and condition. 3. The law of cause and effect 4. The heaven’s net casts wide and has big meshes, but nothing can slip through. IV As soon as One Dharma Arises, the Ten Thousand Dharmas will Follow. Chapter Ten The Relativity of Polarity and Absoluteness of True Emptiness I All Movements and Changes are Transformations of Appearances. II Understanding the one-appearance of absolute vacuum 1. The characteristics of relativity and absoluteness 2. The truly empty absoluteness of one-appearance and non-duality 3 Everything moves in the absoluteness of true emptiness. III The Existence of Relative Things. IV The Information Structure of the “S” Line 1. It is information structure that makes us have to do. 2 Penetrate the cause of everything under heaven through “S” lines 3. Only the absoluteness of true emptiness exists. V Three Suggestions to Transform a Mortal into a Sage Chapter Eleven Witness the Absolute Truth I The Revelation of Color Blindness II How to Spot the True Appearance 1. Seeing, hearing, sensing and knowing are all empty and false. 2. There is no falseness outside trueness; there is no trueness outside falseness. 3. Personally certify the absolute truth III The Mind is Correspondent to the World IV Purify the Mind and Sublimate the State. Chapter Twelve The Grand Unified Field I The Mechanism and Principle of the Grand Unified Field 1. The principle of the “S” line 2. The unification perceived from the appearance of things II Expressions of the Sages’ Great Wisdom 1. The still and unmoving Yi 2. “Neither production nor extinction”, “Suchness” and “The interdependence of the two ways.” III Enter the Realm of Freedom from the Realm of Necessity Chapter thirteen Step into the Way of Sages I Influence of the Correct Three Outlooks II The Wisdom of Sages and Scientific Discoveries 1. The perfect and ultimate wisdom of sages 2. The theory of relativity proves no existence of subject and object. 3. Open up the original conscience 4. Inherit and carry forward the Way of sages III Some statements from Sages and Science 1. Concerning the composition of matter 2. The sages’ theories on the evolution of the universe 3. Water moons and water have the same body and are not dualistic. IV The Common Understanding of Sages and Worthies 1. Zero is all numbers and all numbers are zero. 2. There is only one. 3. The universe is not evolution but direct manifestation 4. “Stick-or-yell”, a superb teaching method V Mankind is in Movement and Change 1. Two types of spontaneity and their applications 2. The importance of nucleation 3. Which do you refer, egoism or altruism? 4. The Mode of motion and relative existence 5. Understand cause and condition, and return to the original source VI Enter the Primary Meaning; Turn a Mortal into a Sage 1. All dharmas have no production, no destruction, no appearance and no action. 2. Zhuang Zi’s theory on equalizing things Chapter Fourteen The Comprehensive I Fu Xi’s Great Wisdom II Eastern Tathagata and Western Tathagata III The Interconnection of the Sages’ wisdoms IV The Three Lectures on Confucianism 1. The Three Outlines in Great Learning 2. The “Nature”, “Way” and “Teaching” in Zhong Yong 3. The Mind-Method of Confucianism V A Lightless Flower VI Achievement at Ease VII Change the Software Programs of life VIII Appendix (1): The Flower Adornment Sutra
Author: Jan A. Freund
Publisher: Springer
ISBN: 3540453962
Category : Science
Languages : en
Pages : 512
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Book Description
The theory of stochastic processes originally grew out of efforts to describe Brownian motion quantitatively. Today it provides a huge arsenal of methods suitable for analyzing the influence of noise on a wide range of systems. The credit for acquiring all the deep insights and powerful methods is due ma- ly to a handful of physicists and mathematicians: Einstein, Smoluchowski, Langevin, Wiener, Stratonovich, etc. Hence it is no surprise that until - cently the bulk of basic and applied stochastic research was devoted to purely mathematical and physical questions. However, in the last decade we have witnessed an enormous growth of results achieved in other sciences - especially chemistry and biology - based on applying methods of stochastic processes. One reason for this stochastics boom may be that the realization that noise plays a constructive rather than the expected deteriorating role has spread to communities beyond physics. Besides their aesthetic appeal these noise-induced, noise-supported or noise-enhanced effects sometimes offer an explanation for so far open pr- lems (information transmission in the nervous system and information p- cessing in the brain, processes at the cell level, enzymatic reactions, etc.). They may also pave the way to novel technological applications (noise-- hanced reaction rates, noise-induced transport and separation on the na- scale, etc.). Key words to be mentioned in this context are stochastic r- onance, Brownian motors or ratchets, and noise-supported phenomena in excitable systems.
Author: Fatkhulla Abdullaev
Publisher: Springer Science & Business Media
ISBN: 9401005427
Category : Mathematics
Languages : en
Pages : 444
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Book Description
Proceedings of the NATO Advanced Research Workshop, Tashkent, Uzbekistan, 2-6 October 2001
