Instabilities and Nonequilibrium Structures III by E. TirapeguiInstabilities and Nonequilibrium Structures III by E. Tirapegui

Instabilities and Nonequilibrium Structures III

byE. TirapeguiEditorW. Zeller

Paperback | October 13, 2012

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One service mathematics has rendered the 'Ht moi, ...• Ii j'avait so comment en revenir, je ny _ais point aile':' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf neJll to the dusty canister labelled 'discarded non­ The series is diwrgent; therefore we may be sense' . • ble to do something with it. Eric T. Bell O. H eniside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, alI kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d't!tre of this series.
Title:Instabilities and Nonequilibrium Structures IIIFormat:PaperbackDimensions:374 pagesPublished:October 13, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:940105522X

ISBN - 13:9789401055222

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Table of Contents

Table of Content.- I. Dynamical Systems and Statistical Mechanics.- Fast Dynamo for Some Anosov Flows.- How Horseshoes Are Created.- Fine Structure of Universal Cantor Sets.- Hamiltonian Chaos in a Laser Damage Model.- Periodic Modulation of a Logistic Oscillator.- Quantum Spin Chains with Residual Entropy.- Quantum Fluctuations and Linear Response Theory.- Non-Commutative Large Deviations and Applications.- Squeezing in the Su(1,1) Group.- Full Scaling and Real-Space Renormalization.- Sand Piles, Combinatorial Games and Cellular Automata.- II. Stochastic Effects on Dynamical Systems.- Nonequilibrium Potentials in Spatially Extended Pattern Forming Systems.- Passage Time Description of Dynamical Processes.- Stochastic Processes Driven by Colored Noise: A Path Integral Point of View.- Effect of Noise on a Hopf Bifurcation.- Some Properties of Quasi Stationary Distributions in the Birth and Death Chains: A Dynamical Approach.- Photon Noise Reduction in Light Sources.- III. Instabilities in Nonequilibrium Systems.- Spatio-Temporal Properties of Centrifugal Instabilities.- Shape of Stationary and Travelling Cells in The Printer's Instability.- Secondary Instability of Cellular Structures in Directional Solidification.- Velocity Field Structure and Semiquantitative Analysis Of Tracer Dispersion in a Taylor-Vortex Flow of Wide Gap.- Lasers as a Test Bench for Theories of Non-Equilibrium Structures.- Mean Field Theory of Canonical Spinodal Instabilities.- Periodic (Layered) Structures under Constraint.- Transitions Between Patterns of Different Symmetries.- Direct Simulation of Three-Dimensional Turbulence.- Transition Between Different Symmetries in Convection.- Shallow Surface Waves in a Convecting Fluid.- An Exact Model of Resistive Convection in a Cylindrical Plasma.- Energy Method in the Stability of Viscoelastic Fluid.- Solitary Waves, Topological Defects and Their Interactions in Systems with Translational and Galilean Invariance.- Dynamics of Nonlinear SchrÖDinger Defects in Three Dimensions.- Dynamics of Spiral Defects in Two Dimensional Extendedsystems.- Fragmentation.- Qualitative Theory of Defects in Non-Equilibrium Systems.