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Noise in Spatially Extended...
Intended for graduate students 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 offers a practical introduction to 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. The text begins with a general introduction to noise-induced phenomena in dynamical systems followed by an extensive discussion of analytical and numerical tools needed to get information from stochastic partial differential equations. It then turns to particular problems described by stochastic partial differential equations, 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
Monografía
monografia Rebiun38686202 https://catalogo.rebiun.org/rebiun/record/Rebiun38686202 m o d cr mnu---uuaaa 121227s1999 nyu o 000 0 eng 9781461215363 electronic bk.) 1461215366 electronic bk.) 9781461271826 1461271827 1461215366 10.1007/978-1-4612-1536-3 doi AU@ 000051745577 NZ1 14980659 NZ1 15314860 AU@ eng pn AU@ OCLCO GW5XE OCLCQ OCLCF COO OCLCQ YDX UAB OCLCQ TKN LEAUB OCLCQ UKAHL OCLCO OCLCQ OCLCO OCLCL PHU bicssc SCI040000 bisacsh 530.1 23 https://id.oclc.org/worldcat/ddc/E3HDW9dXRHfYDdvgxp6td3QWG4 García-Ojalvo, Jordi Noise in Spatially Extended Systems by Jordi García-Ojalvo, José M. Sancho New York, NY Springer New York 1999 New York, NY New York, NY Springer New York 1 online resource (xiii, 307 pages) 1 online resource (xiii, 307 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier Institute for Nonlinear Science 1431-4673 Introduction: Fluctuations; phase transitions; pattern formation -- Fundamentals and Tools: Stochastic partial differential equations; analytical techniques; numerical techniques -- Noise-induced Phase Transitions: additive and multiplicative noise -- Dynamics of Phase Transitions with Fluctuations: internal noise; noise-induced phase separation -- Pattern Formation Under Multiplicative Noise -- Front Dynamics and External Fluctuations -- Conclusions. A. Continuum and Discrete Space Descriptions. B. Fourier Transforms. C. Fokker-Planck Equations for Additive Colored Noise. D. Colored Noise in a Linear Model. E. Fokker-Planck Equation for Multiplicative Noise Intended for graduate students 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 offers a practical introduction to 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. The text begins with a general introduction to noise-induced phenomena in dynamical systems followed by an extensive discussion of analytical and numerical tools needed to get information from stochastic partial differential equations. It then turns to particular problems described by stochastic partial differential equations, 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 Physics Distribution (Probability theory) Physics Physique Distribution (Théorie des probabilités) physics. distribution (statistics-related concept) Distribution (Probability theory) Physics. Sancho, José M. Print version 9781461271826 Institute for Nonlinear Science