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Noise-Induced Transitions

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Release : 2006-09-12
Genre : Science
Kind : eBook
Book Rating : 523/5 ( reviews)

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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.

Noise-Induced Transitions to Chaos

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Author :
Release : 1995
Genre :
Kind : eBook
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Book Synopsis Noise-Induced Transitions to Chaos by : M. R. Frey

Download or read book Noise-Induced Transitions to Chaos written by M. R. Frey. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt:

Noise Induced Transitions and Resonant Effects in Nonlinear Systems

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Release : 2002
Genre :
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Book Synopsis Noise Induced Transitions and Resonant Effects in Nonlinear Systems by : Alexei Zaikin

Download or read book Noise Induced Transitions and Resonant Effects in Nonlinear Systems written by Alexei Zaikin. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt:

Noise-induced Transitions in Nonlinear, Dissipative Dynamical Systems

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Release : 1986
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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:

Noise in Spatially Extended Systems

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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 366/5 ( reviews)

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Book Synopsis Noise in Spatially Extended Systems by : Jordi Garcia-Ojalvo

Download or read book Noise in Spatially Extended Systems written by Jordi Garcia-Ojalvo. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Intended for graduates and researchers in physics, chemistry, biology, and applied mathematics, this book provides an up-to-date introduction to current research in fluctuations in spatially extended systems. It covers the theory of stochastic partial differential equations and gives an overview of the effects of external noise on dynamical systems with spatial degrees of freedom. Starting with a general introduction to noise-induced phenomena in dynamical systems, the text moves on to an extensive discussion of analytical and numerical tools needed to gain information from stochastic partial differential equations. It then turns to particular problems described by stochastic PDEs, covering a wide part of the rich phenomenology of spatially extended systems, such as nonequilibrium phase transitions, domain growth, pattern formation, and front propagation. The only prerequisite is a minimal background knowledge of the Langevin and Fokker-Planck equations.

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