Fluctuations and Order

Fluctuations and Order PDF Author: Mark Millonas
Publisher: Springer Science & Business Media
ISBN: 1461239923
Category : Science
Languages : en
Pages : 459

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Book Description
The volume that you have before you is the result of a growing realization that fluctuations in nonequilibrium systems playa much more important role than was 1 first believed. It has become clear that in nonequilibrium systems noise plays an active, one might even say a creative, role in processes involving self-organization, pattern formation, and coherence, as well as in biological information processing, energy transduction, and functionality. Now is not the time for a comprehensive summary of these new ideas, and I am certainly not the person to attempt such a thing. Rather, this short introductory essay (and the book as a whole) is an attempt to describe where we are at present and how the viewpoint that has evolved in the last decade or so differs from those of past decades. Fluctuations arise either because of the coupling of a particular system to an ex ternal unknown or "unknowable" system or because the particular description we are using is only a coarse-grained description which on some level is an approxima tion. We describe the unpredictable and random deviations from our deterministic equations of motion as noise or fluctuations. A nonequilibrium system is one in which there is a net flow of energy. There are, as I see it, four basic levels of sophistication, or paradigms, con cerning fluctuations in nature. At the lowest level of sophistication, there is an implicit assumption that noise is negligible: the deterministic paradigm.

Fluctuations and Order

Fluctuations and Order PDF Author: Mark Millonas
Publisher: Springer Science & Business Media
ISBN: 1461239923
Category : Science
Languages : en
Pages : 459

Get Book Here

Book Description
The volume that you have before you is the result of a growing realization that fluctuations in nonequilibrium systems playa much more important role than was 1 first believed. It has become clear that in nonequilibrium systems noise plays an active, one might even say a creative, role in processes involving self-organization, pattern formation, and coherence, as well as in biological information processing, energy transduction, and functionality. Now is not the time for a comprehensive summary of these new ideas, and I am certainly not the person to attempt such a thing. Rather, this short introductory essay (and the book as a whole) is an attempt to describe where we are at present and how the viewpoint that has evolved in the last decade or so differs from those of past decades. Fluctuations arise either because of the coupling of a particular system to an ex ternal unknown or "unknowable" system or because the particular description we are using is only a coarse-grained description which on some level is an approxima tion. We describe the unpredictable and random deviations from our deterministic equations of motion as noise or fluctuations. A nonequilibrium system is one in which there is a net flow of energy. There are, as I see it, four basic levels of sophistication, or paradigms, con cerning fluctuations in nature. At the lowest level of sophistication, there is an implicit assumption that noise is negligible: the deterministic paradigm.

Noise and Fluctuations

Noise and Fluctuations PDF Author: D. K. C. MacDonald
Publisher: Courier Corporation
ISBN: 0486174468
Category : Science
Languages : en
Pages : 130

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Book Description
An understanding of fluctuations and their role is both useful and fundamental to the study of physics. This concise study of random processes offers graduate students and research physicists a survey that encompasses both the relationship of Brownian Movement with statistical mechanics and the problem of irreversible processes. It outlines the basics of the physics involved, without the strictures of mathematical rigor. The three-part treatment starts with a general survey of Brownian Movement, including electrical Brownian Movement and "shot-noise," Part two explores correlation, frequency spectrum, and distribution function, with particular focus on application to Brownian Movement. The final section examines noise in electric currents, including noise in vacuum tubes and a random rectangular current. Frequent footnotes amplify the text, along with an extensive selection of Appendixes.

Self-Organization in Nonequilibrium Systems

Self-Organization in Nonequilibrium Systems PDF Author: Gregoire Nicolis
Publisher: Wiley-VCH
ISBN:
Category : Reference
Languages : en
Pages : 520

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Book Description
Membranes, Dissipative Structures, and Evolution Edited by G. Nicolis & R. Lefever Focuses on the problem of the emergence/maintenance of biological order at successively higher levels of complexity. Covers the spatiotemporal organization of simple biochemical networks; the formation of pluricellular or macromolecular assemblies; the evolution of these structures; and the functions of specific biological structures. Volume 29 in Advances in Chemical Physics Series, I. Prigogine & Stuart A. Rice, Editors. 1975 Theory and Applications of Molecular Paramagnetism Edited by E. A. Boudreaux & L. N. Mulay Comprehensively treats the basic theory of paramagnetic phenomena from both the classical and mechanical vantages. It examines the magnetic behavior of Lanthanide and Actinide elements as well as traditional transition metals. For each class of compounds, appropriate details of descriptive and mathematical theory are given before their applications. 1976 Theory and Aapplications of Molecular Diamagnetism Edited by L. N. Mulay & E. A. Boudreaux An invaluable reference for solving chemical problems in magnetics, magnetochemistry, and related areas where magnetic data are important, such as solid-state physics and optical spectroscopy. 1976

Fluctuations in Physical Systems

Fluctuations in Physical Systems PDF Author: Hans L. Pécseli
Publisher: Cambridge University Press
ISBN: 9780521655927
Category : Mathematics
Languages : en
Pages : 204

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Book Description
This book provides an introduction to applied statistical mechanics by considering physically realistic models.

Fluctuations, Instabilities, and Phase Transitions

Fluctuations, Instabilities, and Phase Transitions PDF Author: T. Riste
Publisher: Springer Science & Business Media
ISBN: 1461589126
Category : Science
Languages : en
Pages : 389

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Book Description
This book contains the papers presented at the NATO Advanced Study Institute held at Geilo, Norway, 11th - 20th April 1975. The institute was the third in a row devoted to phase transitions. The previous two dealt with 2nd- and 1st-order transitions in equilibrium systems and the proceedings have been published.i~ In order to make an overlap wi th those institutes, the first part of this institute was devoted to 1st -or der transitions with an emphasis on the problems of metast abi l i t y and instability en countered i n spinodal decomposition, nucleation etc. The main topic was, however, that of non-equilibrium systems, and the present institute was to our knowledge the first one devoted to the physics of such systems. The discovery of the analogy between phase transitions in equilibrium systems and instabilities in non-equilibrium systems was first made by Rolf Landauer in 1961 and later independently by others. The analogy was first pointed out for electronic devices (tunnel diodes, Gunn oscillators, lasers, etc. ) and the treatment of hydrodynamic instabilities followed later.

Macroeconomic Fluctuations and Policies

Macroeconomic Fluctuations and Policies PDF Author: Edouard Challe
Publisher: MIT Press
ISBN: 0262549298
Category : Business & Economics
Languages : en
Pages : 361

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Book Description
The basic tools for analyzing macroeconomic fluctuations and policies, applied to concrete issues and presented within an integrated New Keynesian framework. This textbook presents the basic tools for analyzing macroeconomic fluctuations and policies and applies them to contemporary issues. It employs a unified New Keynesian framework for understanding business cycles, major crises, and macroeconomic policies, introducing students to the approach most often used in academic macroeconomic analysis and by central banks and international institutions. The book addresses such topics as how recessions and crises spread; what instruments central banks and governments have to stimulate activity when private demand is weak; and what “unconventional” macroeconomic policies might work when conventional monetary policy loses its effectiveness (as has happened in many countries in the aftermath of the Great Recession.). The text introduces the foundations of modern business cycle theory through the notions of aggregate demand and aggregate supply, and then applies the theory to the study of regular business-cycle fluctuations in output, inflation, and employment. It considers conventional monetary and fiscal policies aimed at stabilizing the business cycle, and examines unconventional macroeconomic policies, including forward guidance and quantitative easing, in situations of “liquidity trap”—deep crises in which conventional policies are either ineffective or have very different effects than in normal time. This book is the first to use the New Keynesian framework at the advanced undergraduate level, connecting undergraduate learning not only with the more advanced tools taught at the graduate level but also with the large body of policy-oriented research in academic journals. End-of-chapter problems help students master the materials presented.

Theory of Fluctuations in Superconductors

Theory of Fluctuations in Superconductors PDF Author: Anatoly Larkin
Publisher: OUP Oxford
ISBN: 0191523704
Category : Science
Languages : en
Pages : 432

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Book Description
This book presents a complete encyclopedia of superconducting fluctuations, summarising the last thirty-five years of work in the field. The first part of the book is devoted to an extended discussion of the Ginzburg-Landau phenomenology of fluctuations in its thermodynamical and time-dependent versions and its various applications. The second part deals with microscopic justification of the Ginzburg-Landau approach and presents the diagrammatic theory of fluctuations. The third part is devoted to a less-detailed review of the manifestation of fluctuations in observables: diamagnetism, magnetoconductivity, various tunneling characteristics, thermoelectricity, and NMR relaxation. The final chapters turn to the manifestation of fluctuations in unconventional superconducting systems: nanodrops, nanorings, Berezinsky-Kosterlitz-Thouless state, quantum phase transition between superconductor and insulator, and thermal and quantum fluctuations in weak superconducting systems. The book ends with a brief discussion on theories of high temperature superconductivity, where fluctuations appear as the possible protagonist of this exciting phenomenon.

Mathematical Approach To Fluctuations: Complexity And Nonlinearity, Vol. Ii - Proceedings Of The Iias Workshop

Mathematical Approach To Fluctuations: Complexity And Nonlinearity, Vol. Ii - Proceedings Of The Iias Workshop PDF Author: Takeyuki Hida
Publisher: World Scientific
ISBN: 9814550973
Category :
Languages : en
Pages : 394

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Book Description
Contents:Trace Formulae for Levy-Gaussian Measures and Their Application (L Accardi & O G Smolyanov)Mathematical Theory of Early Vision: Historical Note (J J Atick)Unidirectional versus Bi-directional Theory for Trajectory Planning and Control (M Kawato)Relaxations in the Electronic Excited States of Complex Systems (T Kushida)Coherent Approach to Fluctuations (M Suzuki)Simulational and Analytic Studies of Anomalous Relaxation in Disordered Systems (F Yonezawa et al)Work with Pavel Bleher on Eigenvalue Statistics in Integrable Dynamical Systems (F Dyson)and other papers Readership: Applied mathematicians.keywords:

Inventory Fluctuations and Economic Stabilization

Inventory Fluctuations and Economic Stabilization PDF Author: United States. Congress. Joint Economic Committee
Publisher:
ISBN:
Category : Business cycles
Languages : en
Pages : 240

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Book Description


Coherent Approaches To Fluctuations - Proceedings Of The Hayashibara Forum '95

Coherent Approaches To Fluctuations - Proceedings Of The Hayashibara Forum '95 PDF Author: Masuo Suzuki
Publisher: World Scientific
ISBN: 9814548200
Category :
Languages : en
Pages : 314

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Book Description
This meeting is devoted to discussing new approaches to critical fluctuation, quantum fluctuation and relaxation phenomena. The main topics include: the study of critical fluctuation, using perturbational expansions, generalized systematic cluster mean-field approximations, the CAM...; possible new systematic approaches to quantum fluctuation including quantum Monte Carlo simulations; and coherent approaches to fluctuation and relaxation in complex systems such as spin glasses.