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Instabilities and Nonequilibrium Structures IV

Instabilities and Nonequilibrium Structures IV
Catalogue Information
Field name Details
Dewey Class 519
Title Instabilities and Nonequilibrium Structures IV ([EBook] /) / edited by E. Tirapegui, W. Zeller.
Added Personal Name Tirapegui, E. editor.
Zeller, W. editor.
Other name(s) SpringerLink (Online service)
Publication Dordrecht : : Springer Netherlands : : Imprint: Springer, , 1993.
Physical Details X, 374 p. : online resource.
Series Mathematics and its applications ; 267
ISBN 9789401119061
Summary Note 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 noise, and (c) for the case of a strange repeller. Our discussion will be informal. A more detailed account of this and related material can be found in our papers [1-3] and in the reviews [4, 5], where further references to related work are also given. 1.:
Contents note I Statistical Mechanics And Related Topics -- Nonequilibrium Potentials For Period Doubling -- On Soliton Instabilities In 1 + 1 Dimensional Integrable Systems -- A Catastrophic View Of Quasi And Pseudospin Physics -- An Approach To Quantum Dissipation -- Arnold Tongues In A Periodically Perturbed Logistic Oscillator -- Axisymmetric Coherent Vortex States In AC Driven Josephson Junctions Arrays -- Comments On The Topological Organization Of 3D-Flows And 2D-Maps -- Phase Bistability And Squeezing In A Two-Photon Micromaser -- Phase Space Fluctuations In Neutral Fermi Liquids -- Polar Decomposition And Dense Similarity To Unitary Operators -- Site-Exchange Cellular Automata -- Steady State Segregation In Diffusion-Limited Bimolecular Reactions: Effect Of Strong Space Disorder And A Galanin Approach -- Schrödinger’s Cat And Squeezing -- Sequential Iteration For Extremal Automata -- A Stochastic Approach Towards The Study Of The One-Dimensional Landau Ginzgurg Distribution -- Effective Potential For Stochastic Processes -- II Instabilities In Nonequilibrium Systems -- Some Asymptotic Time Behavior For The Real Ginzburg Landau Equations -- Anomalous Transport In Heterogeneous Materials -- Subcritical Traveling Pulses And Pattern Formation In A Film Dragging Experiment -- Empirical Determination Of The Onset Of Convection For A Hard Disk System -- 1D And 2D Nonlinear Evolution Equations For Bénard-Marangoni Convection -- A Generalized Swift-Hohenberg Model For Several Convective Problems -- Two Dimensional Patterns In A Model For The Electrohydrodynamic Instability Of Nematic Liquid Crystals -- Turing Structures In The Presence Of Gradients -- Stability Limits Of Defects And Spatio-Temporal Chaos In Nonequilibrium Media -- The Fragmentation Of A Drop Falling In A Fluid: Geometry And Velocity -- The Role Of Dispersion In The Generalized Kuramoto Sivashinsky Equation -- Three-Modes Nonlinear Statistical Description For A Global Drift Wave Turbulence -- Spreading Of A Droplet On A Solid Surface And The Hoffman-Tanner Law -- Coriolis Force And Centrifugal Force Induced Flow Instabilities -- Amplitude Equations For Viscoelastic Convective Fluids -- Instabilities Mediated By Line Defects In Three Dimensions Without Unbinding -- Generation Of Side Jets In Forced Axisymmetric Jets -- Parametric Forcing Of Coupled Pendula -- Tracer Dispersion In The Taylor-Couette Instability With Axial Flow -- Critical Velocities And Nucleation Of Vortices In A Model Of Superflow.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-94-011-1906-1
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