Instabilities and Nonequilibrium Structures IV

1. Front Matter

   Pages i-1

   PDF

2. Statistical Mechanics And Related Topics

   1. Front Matter

      Pages 3-3

      PDF

   2. Nonequilibrium Potentials For Period Doubling

      • R. Graham, A. Hamm

      Pages 5-13

   3. On Soliton Instabilities In 1+1 Dimensional Integrable Systems

      • F. Lambert, J. Springael, R. Willox

      Pages 15-25

   4. A Catastrophic View Of Quasi And Pseudospin Physics

      • E. S. Hernández

      Pages 27-36

   5. An Approach To Quantum Dissipation

      • G. Crespo, A. M. Kowalski, A. Plastino, A. N. Proto

      Pages 37-45

   6. Arnold Tongues In A Periodically Perturbed Logistic Oscillator

      • Jaime Rössler, Edmundo Lazo, Miguel Kiwi

      Pages 47-52

   7. Axisymmetric Coherent Vortex States In AC Driven Josephson Junctions Arrays

      • Daniel Domínguez, Jorge V. José

      Pages 53-67

   8. Comments on the topological organization of 3d-flows and 2d-maps

      • H. G. Solari, M. A. Natiello, B. G. Mindlin, R. Gilmore

      Pages 69-76

   9. Phase Bistability and Squeezing in a Two-photon Micromaser

      • M. Orszag, L. Roa, R. Ramírez

      Pages 77-88

   10. Phase Space Fluctuations In Neutral Fermi Liquids

       • B. Benhassine, M. Farine, E. S. Hernández, D. Idier, B. Remaud, F. Sébille

       Pages 89-100

   11. Polar Decomposition And Dense Similarity To Unitary Operators

       • N. Bertoglio, S. Martínez, J. San Martín

       Pages 101-107

   12. Site-Exchange Cellular Automata

       • N. Boccara, M. Roger

       Pages 109-118

   13. Steady State Segregation In Diffusion-Limited Bimolecular Reactions: Effect Of Strong Space Disorder And A Galanin Approach

       • Horacio S. Wio

       Pages 119-132

   14. Schrödinger’s Cat and Squeezing

       • M. Orszag, R. Ramirez, J. C. Retamal, L. Roa

       Pages 133-139

   15. Sequential Iteration For Extremal Automata

       • Eric Goles, Gonzalo Hernández

       Pages 141-148

   16. A stochastic approach towards the study of the one-dimensional Landau Ginzburg distribution

       • C. Van den Broeck, M. Malek Mansour

       Pages 149-159

   17. Effective Potential For Stochastic Processes

       • H. Calisto, E. Cerda, E. Tirapegui

       Pages 161-173

3. Instabilities In Nonequilibrium Systems

   1. Front Matter

      Pages 175-175

      PDF

   2. Some Asymptotic Time Behavior For The Real Ginzburg Landau Equation

      • P. Collet

      Pages 177-180

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.

• Experiment
• Potential
• STATISTICA
• differential equation
• extrema
• linear optimization
• partial differential equation
• partial differential equations

• Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile

  E. Tirapegui

• Instituto de Física, Universidad Católica de Valparaíso, Valparaíso, Chile

  W. Zeller

Policies and ethics