Noise-Induced Transitions

Theory and Applications in Physics, Chemistry, and Biology

W. Horsthemke, R. Lefever (Autoren)

Buch | Softcover

XVI, 322 Seiten

2010 | 1984
Springer Berlin (Verlag)
978-3-642-05719-9 (ISBN)

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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.

Elements of Probability Theory.- Stochastic Models of Environmental Fluctuations.- Markovian Diffusion Processes.- Stochastic Differential Equations.- Noise-Induced Nonequilibrium Phase Transitions.- Noise-Induced Transitions in Physics, Chemistry, and Biology.- External Colored Noise.- Markovian Dichotomous Noise: An Exactly Soluble Colored-Noise Case.- The Symbiosis of Noise and Order - Concluding Remarks.

Erscheint lt. Verlag	13.2.2010
Reihe/Serie	Springer Series in Synergetics
Zusatzinfo	XVI, 322 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	510 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	chemical reaction • Diffusion • Markovian Processes • noisy environments • phase transition • Stochastic Processes
ISBN-10	3-642-05719-5 / 3642057195
ISBN-13	978-3-642-05719-9 / 9783642057199
Zustand	Neuware