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Instabilities, Bifurcations, and Fluctuations in Chemical Systems

Instabilities, Bifurcations, and Fluctuations in Chemical Systems
Author: L. E. Reichl
Publisher: University of Texas Press
Total Pages: 440
Release: 1982-09-01
Genre: Science
ISBN: 029274157X

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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.


Samband of Iceland

Samband of Iceland
Author:
Publisher:
Total Pages:
Release: 1970
Genre:
ISBN:

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Chemical Instabilities

Chemical Instabilities
Author: G. Nicolis
Publisher: Springer Science & Business Media
Total Pages: 428
Release: 2012-12-06
Genre: Science
ISBN: 9400972547

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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).


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

Fluctuations and Transitions at Chemical Instabilities: The Analogy to Phase Transitions
Author: Abraham Nitzan
Publisher:
Total Pages: 93
Release: 1974
Genre:
ISBN:

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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).


Chemomechanical Instabilities in Responsive Materials

Chemomechanical Instabilities in Responsive Materials
Author: Pierre Borckmans
Publisher: Springer Science & Business Media
Total Pages: 282
Release: 2009-08-13
Genre: Science
ISBN: 9048129915

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The present volume includes most of the material of the invited lectures delivered at the NATO Advanced Study Institute “Morphogenesis through the interplay of nonlinear chemical instabilities and elastic active media” held from 2th to 14th July 2007 at the Institut d’Etudes Scientifiques de Cargèse (http://www.iesc.univ-corse.fr/), in Corsica (France). This traditional place to organize Summer Schools and Workshops in a well equipped secluded location at the border of the Mediterranean sea has, over many years now, earned an increasing deserved reputation. Non-linear dynamics of non equilibrium systems has worked its way into a great number of fields and plays a key role in the understanding of se- organization and emergence phenomena in domains as diverse as chemical reactors, laser physics, fluid dynamics, electronic devices and biological morphogenesis. In the latter case, the viscoelastic properties of tissues are also known to play a key role. The control and formulation of soft responsive or “smart” materials has been a fast growing field of material science, specially in the area of po- mer networks, due to their growing applications in bio-science, chemical sensors, intelligent microfluidic devices, ... . Nature is an important p- vider of active materials whether at the level of tissues or at that of s- cellular structures. As a consequence, the fundamental understanding of the physical mechanisms at play in responsive materials also shines light in the understanding of biological artefacts.


Advances in Chemical Physics, Volume 100

Advances in Chemical Physics, Volume 100
Author: Ilya Prigogine
Publisher: John Wiley & Sons
Total Pages: 707
Release: 2009-09-09
Genre: Science
ISBN: 047014212X

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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.


Thermodynamic Inversion

Thermodynamic Inversion
Author: Vladimir N. Kompanichenko
Publisher: Springer
Total Pages: 284
Release: 2017-03-02
Genre: Science
ISBN: 3319535129

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This book discusses the theory, general principles, and energy source conditions allowing for the emergence of life in planetary systems. The author examines the material conditions found in natural hydrothermal sites, the appropriate analogs of prebiotic environments on early Earth. He provides an overview of current laboratory experiments in prebiotic materials chemistry and substantiation of a new direction for the experiments in the origin of life field. Describes thermodynamic inversion and how it relates to the living cell; Examines the current direction of experiments on prebiotic materials chemistry; Introduces and substantiates necessary conditions for the emergence of life.


Mathematical Reviews

Mathematical Reviews
Author:
Publisher:
Total Pages: 564
Release: 1986
Genre: Mathematics
ISBN:

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Complexity and Complex Thermo-Economic Systems

Complexity and Complex Thermo-Economic Systems
Author: Stanislaw Sieniutycz
Publisher: Elsevier
Total Pages: 415
Release: 2019-11-24
Genre: Computers
ISBN: 0128185953

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Complexity and Complex Thermoeconomic Systems describes the properties of complexity and complex thermo-economic systems as the consequence of formulations, definitions, tools, solutions and results consistent with the best performance of a system. Applying to complex systems contemporary advanced techniques, such as static optimization, optimal control, and neural networks, this book treats the systems theory as a science of general laws for functional integrities. It also provides a platform for the discussion of various definitions of complexity, complex hierarchical structures, self-organization examples, special references, and historical issues. This book is a valuable reference for scientists, engineers and graduated students in chemical, mechanical, and environmental engineering, as well as those in physics, ecology and biology, helping them better understand the complex thermodynamic systems and enhance their technical skills in research. Provides a lucid presentation of the dynamical properties of thermoeconomic systems Includes original graphical material that illustrates the properties of complex systems Written by a first-class expert in the field of advanced methods in thermodynamics