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Titlebook: Instabilities and Nonequilibrium Structures IV; E. Tirapegui,W. Zeller Book 1993 Springer Science+Business Media Dordrecht 1993 Experiment

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发表于 2025-3-21 19:59:45 | 显示全部楼层 |阅读模式
书目名称Instabilities and Nonequilibrium Structures IV
编辑E. Tirapegui,W. Zeller
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Instabilities and Nonequilibrium Structures IV;  E. Tirapegui,W. Zeller Book 1993 Springer Science+Business Media Dordrecht 1993 Experiment
描述We have classified the articles presented here in two Sections according to their general content. In Part I we have included papers which deal with statistical mechanics, math­ ematical aspects of dynamical systems and sthochastic effects in nonequilibrium systems. Part II is devoted mainly to instabilities and self-organization in extended nonequilibrium systems. The study of partial differential equations by numerical and analytic methods plays a great role here and many works are related to this subject. Most recent developments in this fascinating and rapidly growing area are discussed. PART I STATISTICAL MECHANICS AND RELATED TOPICS NONEQUILIBRIUM POTENTIALS FOR PERIOD DOUBLING R. Graham and A. Hamm Fachbereich Physik, Universitiit Gesamthochschule Essen D4300 Essen 1 Germany ABSTRACT. In this lecture we consider the influence of weak stochastic perturbations on period doubling using nonequilibrium potentials, a concept which is explained in section 1 and formulated for the case of maps in section 2. In section 3 nonequilibrium potentials are considered for the family of quadratic maps (a) at the Feigenbaum ‘attractor‘ with Gaussian noise, (b) for more general non­ Gaussian n
出版日期Book 1993
关键词Experiment; Potential; STATISTICA; differential equation; extrema; linear optimization; partial differenti
版次1
doihttps://doi.org/10.1007/978-94-011-1906-1
isbn_softcover978-94-010-4842-2
isbn_ebook978-94-011-1906-1
copyrightSpringer Science+Business Media Dordrecht 1993
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Phase Bistability and Squeezing in a Two-photon MicromaserA quick tutorial review of the coherent and squeezed states is presented. We also derive the master equation for the two-photon micromaser, with atomic coherence. We find that the atomic coherence produces a bifurcation in the phase probability distribution and squeezing. The maximun squeezing is 36% and it occurs below threshold.
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Site-Exchange Cellular AutomataWe study the stationary density of nonzero sites of automata networks whose local rule consists of two subrules. The first one, applied synchronously, is a one-dimensional range-one cellular-automaton rule. The second, applied sequentially, mixes the site values. The mixing results from either a local or a nonlocal exchange of the site values.
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Schrödinger’s Cat and SqueezingFor particular values of the atomic flight time through the two photon micromaser cavity, if the atom is polarized, the field evolves to a pure state made of a superposition of even-photon number states or odd-photon number states. As the upper limit of the trap micromaser, these states approach a perfectly squeezed state.
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Arnold Tongues In A Periodically Perturbed Logistic Oscillator nonlinear oscillator, of frequency .., and the external perturbation. The locked—unlocked boundary, . = .. (.), has a remarkable structure, with “V-shaped” minima appearing for every rational value of ./...
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Sequential Iteration For Extremal Automatathe cellular space we determine a Lyapunov operator driving the automaton dynamics. This operator allows us to characterize the steady state as a set of fixed points and to give bounds for the transient phase.
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