Fluctuations and Transitions at Chemical Instabilities: The Analogy to Phase Transitions

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ISBN 13 :
Total Pages : 93 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Fluctuations and Transitions at Chemical Instabilities: The Analogy to Phase Transitions by : Abraham Nitzan

Download or read book Fluctuations and Transitions at Chemical Instabilities: The Analogy to Phase Transitions written by Abraham Nitzan and published by . This book was released on 1974 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: The properties of a reacting system near an instability are investigated and the analogy between transitions in unstable systems and equilibrium phase transitions is developed in detail. The set of macroscopic steady state rate equations plays the role of an equation of state. The bifurcation points of this set are analogous to transition and critical points of equilibrium phase transitions. Hard transitions of unstable systems correspond to first order and soft transitions to second and higher order phase transitions. Critical exponents are defined for those properties of the unstable systems which are singular at the transition points, and relations between these critical exponents are investigated. Critical fluctuations are studied with stochastic analogs of the macroscopic rate equations. Both master and Langevin equations are considered. (Modified author abstract).

Fluctuations, Instabilities, and Phase Transitions

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Publisher : Springer Science & Business Media
ISBN 13 : 1461589126
Total Pages : 389 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Fluctuations, Instabilities, and Phase Transitions by : T. Riste

Download or read book Fluctuations, Instabilities, and Phase Transitions written by T. Riste and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fluctuations and Transitions at Chemical Instabililties

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Publisher :
ISBN 13 :
Total Pages : 71 pages
Book Rating : 4.:/5 (187 download)

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Book Synopsis Fluctuations and Transitions at Chemical Instabililties by : Abraham Nitzen

Download or read book Fluctuations and Transitions at Chemical Instabililties written by Abraham Nitzen and published by . This book was released on 1974 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Instabilities, Bifurcations, and Fluctuations in Chemical Systems

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Publisher : University of Texas Press
ISBN 13 : 029274157X
Total Pages : 440 pages
Book Rating : 4.2/5 (927 download)

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Book Synopsis Instabilities, Bifurcations, and Fluctuations in Chemical Systems by : L. E. Reichl

Download or read book Instabilities, Bifurcations, and Fluctuations in Chemical Systems written by L. E. Reichl and published by University of Texas Press. This book was released on 1982-09-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twentieth-century research in the field of chemical pattern formation saw extraordinary progress due to the pathbreaking contributions of Nobel laureate Ilya Prigogine and his co-workers. Evidence exists that the dissipative structures studied by Prigogine and his colleagues may play a dominant role in the processes of self-organization of biological systems, the fundamental phenomena that govern all life forms. Brought together in this valuable volume are topical papers from the this research. Important aspects of nonlinear chemical pattern formation—dissipative structures—in chemical, biochemical, and geological systems are surveyed by leading scientists in the field of nonlinear chemistry. Topics covered include experimental observations of pattern formation in a variety of systems, bifurcation theory and analysis of nonlinear chemical rate equations, and the stochastic theory of nonlinear chemical reactions. Of particular interest are the studies of the effects of electric fields on the determination of nonequilibrium states of chemical systems.

Noise-Induced Transitions

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Publisher : Springer Science & Business Media
ISBN 13 : 3540368523
Total Pages : 322 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Noise-Induced Transitions by : W. Horsthemke

Download or read book Noise-Induced Transitions written by W. Horsthemke and published by Springer Science & Business Media. This book was released on 2006-09-12 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of phase transitions is among the most fascinating fields in physics. Originally limited to transition phenomena in equilibrium systems, this field has outgrown its classical confines during the last two decades. The behavior of far from equilibrium systems has received more and more attention and has been an extremely active and productive subject of research for physicists, chemists and biologists. Their studies have brought about a more unified vision of the laws which govern self-organization processes of physico-chemical and biological sys tems. A major achievement has been the extension of the notion of phase transi tion to instabilities which occur only in open nonlinear systems. The notion of phase transition has been proven fruitful in apphcation to nonequilibrium ins- bihties known for about eight decades, like certain hydrodynamic instabilities, as well as in the case of the more recently discovered instabilities in quantum optical systems such as the laser, in chemical systems such as the Belousov-Zhabotinskii reaction and in biological systems. Even outside the realm of natural sciences, this notion is now used in economics and sociology. In this monograph we show that the notion of phase transition can be extend ed even further. It apphes also to a new class of transition phenomena which occur only in nonequilibrium systems subjected to a randomly fluctuating en vironment.

Phase/State Transitions in Foods, Chemical,Structural and Rheological Changes

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Publisher : CRC Press
ISBN 13 : 9780824701796
Total Pages : 408 pages
Book Rating : 4.7/5 (17 download)

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Book Synopsis Phase/State Transitions in Foods, Chemical,Structural and Rheological Changes by : Rao

Download or read book Phase/State Transitions in Foods, Chemical,Structural and Rheological Changes written by Rao and published by CRC Press. This book was released on 1998-05-27 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Covers the basic and applied principles of phase/state transitions and analyzes their impact on chemical, physical, and rheological changes occurring in food during processing, preservation, and storage-offering practical insights on the most effective ways to move product development forward. Provides a fundamental understanding of transition phenomena, food components, and products, and unit operations. "

Fluctuations, Instabilities, and Phase Transitions

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Publisher :
ISBN 13 : 9781461589136
Total Pages : 400 pages
Book Rating : 4.5/5 (891 download)

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Book Synopsis Fluctuations, Instabilities, and Phase Transitions by : T. Riste

Download or read book Fluctuations, Instabilities, and Phase Transitions written by T. Riste and published by . This book was released on 2014-01-15 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Models of Chemical Reactions

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Publisher : Manchester University Press
ISBN 13 : 9780719022081
Total Pages : 296 pages
Book Rating : 4.0/5 (22 download)

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Book Synopsis Mathematical Models of Chemical Reactions by : Péter Érdi

Download or read book Mathematical Models of Chemical Reactions written by Péter Érdi and published by Manchester University Press. This book was released on 1989 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Chemical Instabilities

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Publisher : Springer Science & Business Media
ISBN 13 : 9400972547
Total Pages : 428 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Chemical Instabilities by : G. Nicolis

Download or read book Chemical Instabilities written by G. Nicolis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: On March 14-18, 1983 a workshop on "Chemical Instabilities: Applications in Chemistry, Engineering, Geology, and Materials Science" was held in Austin, Texas, U.S.A. It was organized jointly by the University of Texas at Austin and the Universite Libre de Bruxelles and sponsored qy NATO, NSF, the University of Texas at Austin, the International Solvay Institutes and the Ex xon Corporation. The present Volume includes most of the material of the in vited lectures delivered in the workshop as well as material from some posters, whose content was directly related to the themes of the invited lectures. In ,recent years, problems related to the stability and the nonlinear dynamics of nonequilibrium systems invaded a great num ber of fields ranging from abstract mathematics to biology. One of the most striking aspects of this development is that subjects reputed to be "classical" and "well-established" like chemistry, turned out to give rise to a rich variety of phenomena leading to multiple steady states and hysteresis, oscillatory behavior in time, spatial patterns, or propagating wave fronts. The primary objective of the workshop was to bring together researchers actively engaged in fields in which instabilities and nonlinear phenomena similar to those observed in chemistry are of current and primary concern : chemical engineering (especially surface catalysis), combustion (dynamics of ignition, flame sta bili t;y), interfaces (emulsification, dendritic growth), geology (regularly repeated patterns of mineralization 1n a variety of spabe scales), and materials science (dynamical solidification, behavior of matter under irradiation).

Advances in Chemical Physics, Volume 49

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Publisher : John Wiley & Sons
ISBN 13 : 0470143169
Total Pages : 702 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Advances in Chemical Physics, Volume 49 by : Ilya Prigogine

Download or read book Advances in Chemical Physics, Volume 49 written by Ilya Prigogine and published by John Wiley & Sons. This book was released on 2009-09-08 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Advances in Chemical Physics series provides the chemical physics and physical chemistry fields with a forum for critical, authoritative evaluations of advances in every area of the discipline. Filled with cutting-edge research reported in a cohesive manner not found elsewhere in the literature, each volume of the Advances in Chemical Physics series serves as the perfect supplement to any advanced graduate class devoted to the study of chemical physics.

Collective Motion and Phase Transitions in Nuclear Systems

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Publisher : World Scientific
ISBN 13 : 9812770410
Total Pages : 690 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Collective Motion and Phase Transitions in Nuclear Systems by : A. A. Raduta

Download or read book Collective Motion and Phase Transitions in Nuclear Systems written by A. A. Raduta and published by World Scientific. This book was released on 2007 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the invited contributions that were presented at the Predeal International Summer School in Nuclear Physics 2006. It covers the recent achievements in the fields of nuclear structure, double beta decay, nuclear multifragmentation, kaon and dilepton production in heavy ion collisions, and the quarkOCogluon plasma. The treatment is both theoretical and experimental, with emphasis on the collective aspects and related phase transitions. The papers are authored by many leading researchers in the field."

Thermodynamics and Kinetics of Biological Processes

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110845911
Total Pages : 552 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Thermodynamics and Kinetics of Biological Processes by : Ingolf Lamprecht

Download or read book Thermodynamics and Kinetics of Biological Processes written by Ingolf Lamprecht and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-07-08 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Thermodynamics and Kinetics of Biological Processes".

Instabilities and Nonequilibrium Structures V

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Publisher : Springer Science & Business Media
ISBN 13 : 9400902395
Total Pages : 359 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Instabilities and Nonequilibrium Structures V by : E. Tirapegui

Download or read book Instabilities and Nonequilibrium Structures V written by E. Tirapegui and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of the lectures given at the Fifth International Workshop on Instabilities and Nonequilibrium Structures, held in Santiago, Chile, in December 1993. The following general subjects are covered: instabilities and pattern formation, stochastic effects in nonlinear systems, nonequilibrium statistical mechanics and granular matter. Review articles on transitions between spatio-temporal patterns and nonlinear wave equations are also included. Audience: This book should appeal to physicists and mathematicians working in the areas of nonequilibrium systems, dynamical systems, pattern formation and partial differential equations. Chemists and biologists interested in self-organization and statistical mechanics should also be interested, as well as engineers working in fluid mechanics and materials science.

Statistical Thermodynamics of Nonequilibrium Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 1461210542
Total Pages : 517 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Statistical Thermodynamics of Nonequilibrium Processes by : Joel Keizer

Download or read book Statistical Thermodynamics of Nonequilibrium Processes written by Joel Keizer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The structure of the theory ofthermodynamics has changed enormously since its inception in the middle of the nineteenth century. Shortly after Thomson and Clausius enunciated their versions of the Second Law, Clausius, Maxwell, and Boltzmann began actively pursuing the molecular basis of thermo dynamics, work that culminated in the Boltzmann equation and the theory of transport processes in dilute gases. Much later, Onsager undertook the elucidation of the symmetry oftransport coefficients and, thereby, established himself as the father of the theory of nonequilibrium thermodynamics. Com bining the statistical ideas of Gibbs and Langevin with the phenomenological transport equations, Onsager and others went on to develop a consistent statistical theory of irreversible processes. The power of that theory is in its ability to relate measurable quantities, such as transport coefficients and thermodynamic derivatives, to the results of experimental measurements. As powerful as that theory is, it is linear and limited in validity to a neighborhood of equilibrium. In recent years it has been possible to extend the statistical theory of nonequilibrium processes to include nonlinear effects. The modern theory, as expounded in this book, is applicable to a wide variety of systems both close to and far from equilibrium. The theory is based on the notion of elementary molecular processes, which manifest themselves as random changes in the extensive variables characterizing a system. The theory has a hierarchical character and, thus, can be applied at various levels of molecular detail.

Modelling with the Master Equation

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Publisher : Springer
ISBN 13 : 3319603000
Total Pages : 355 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Modelling with the Master Equation by : Günter Haag

Download or read book Modelling with the Master Equation written by Günter Haag and published by Springer. This book was released on 2017-07-31 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theory and practical applications of the Master equation approach, which provides a powerful general framework for model building in a variety of disciplines. The aim of the book is to not only highlight different mathematical solution methods, but also reveal their potential by means of practical examples. Part I of the book, which can be used as a toolbox, introduces selected statistical fundamentals and solution methods for the Master equation. In Part II and Part III, the Master equation approach is applied to important applications in the natural and social sciences. The case studies presented mainly hail from the social sciences, including urban and regional dynamics, population dynamics, dynamic decision theory, opinion formation and traffic dynamics; however, some applications from physics and chemistry are treated as well, underlining the interdisciplinary modelling potential of the Master equation approach. Drawing upon the author’s extensive teaching and research experience and consulting work, the book offers a valuable guide for researchers, graduate students and professionals alike.

Foundations of Complex Systems

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Publisher : World Scientific
ISBN 13 : 981277565X
Total Pages : 343 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Foundations of Complex Systems by : Gregoire Nicolis

Download or read book Foundations of Complex Systems written by Gregoire Nicolis and published by World Scientific. This book was released on 2007 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: A geometric process is a simple monotone process that was first introduced by the author in 1988. It is a generalization of renewal process. This book captures the extensive research work on geometric processes that has been done since then in both probability and statistics theory and various applications. Some results are published for the first time. A reference book for researchers and a handbook for practioners, it is also a useful textbook for postgraduate or senior undergraduate students.

Current Awareness Service

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Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Current Awareness Service by : Cryogenic Data Center

Download or read book Current Awareness Service written by Cryogenic Data Center and published by . This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: