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Author : Edward Abram Celarier
Release : 1986
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Noise-induced Transitions in Nonlinear, Dissipative Dynamical Systems by : Edward Abram Celarier
Download or read book Noise-induced Transitions in Nonlinear, Dissipative Dynamical Systems written by Edward Abram Celarier. This book was released on 1986. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. Horsthemke
Release : 2006-09-12
Genre : Science
Kind : eBook
Book Rating : 523/5 ( reviews)
Book Synopsis Noise-Induced Transitions by : W. Horsthemke
Download or read book Noise-Induced Transitions written by W. Horsthemke. This book was released on 2006-09-12. 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.
Author : Frank Moss
Release : 2009-08-20
Genre : Science
Kind : eBook
Book Rating : 521/5 ( reviews)
Book Synopsis Noise in Nonlinear Dynamical Systems: Volume 2, Theory of Noise Induced Processes in Special Applications by : Frank Moss
Download or read book Noise in Nonlinear Dynamical Systems: Volume 2, Theory of Noise Induced Processes in Special Applications written by Frank Moss. This book was released on 2009-08-20. Available in PDF, EPUB and Kindle. Book excerpt: Nature is inherently noisy and nonlinear. It is noisy in the sense that all macroscopic systems are subject to the fluctuations of their environments and also to internal fluctuations. It is nonlinear in the sense that the restoring force on a system displaced from equilibrium does not usually vary linearly with the size of the displacement. To calculate the properties of stochastic (noisy) nonlinear systems is in general extremely difficult, although considerable progress has been made in the past. The three volumes that make up Noise in Nonlinear Dynamical Systems comprise a collection of specially written authoritative reviews on all aspects of the subject, representative of all the major practitioners in the field. The second volume applies the theory of Volume 1 to the calculation of the influence of noise in a variety of contexts. These include quantum mechanics, condensed matter, noise induced transitions, escape processes and transition probabilities, systems with periodic potentials, discrete nonlinear systems, symmetry-breaking transition, and optics.
Author : Frank Moss
Release : 1989
Genre : Science
Kind : eBook
Book Rating : 291/5 ( reviews)
Book Synopsis Noise in Nonlinear Dynamical Systems by : Frank Moss
Download or read book Noise in Nonlinear Dynamical Systems written by Frank Moss. This book was released on 1989. Available in PDF, EPUB and Kindle. Book excerpt: Nature is inherently noisy and nonlinear. It is noisy in the sense that all macroscopic systems are subject to the fluctuations of their environments and also to internal fluctuations. It is nonlinear in the sense that the restoring force on a system displaced from equilibrium does not usually vary linearly with the size of the displacement. To calculate the properties of stochastic (noisy) nonlinear systems is in general extremely difficult, although considerable progress has been made in the past. The three volumes that make up Noise in Nonlinear Dynamical Systems comprise a collection of specially written authoritative reviews on all aspects of the subject, representative of all the major practitioners in the field. The second volume applies the theory of Volume 1 to the calculation of the influence of noise in a variety of contexts. These include quantum mechanics, condensed matter, noise induced transitions, escape processes and transition probabilities, systems with periodic potentials, discrete nonlinear systems, symmetry-breaking transition, and optics.
Author : Tian Ma
Release : 2013-11-09
Genre : Mathematics
Kind : eBook
Book Rating : 636/5 ( reviews)
Book Synopsis Phase Transition Dynamics by : Tian Ma
Download or read book Phase Transition Dynamics written by Tian Ma. This book was released on 2013-11-09. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields.
