The dynamics of patterns

This volume includes new topics such as the stochastic limit approach to nonequilibrium states, a new algebraic approach to relativistic nonequilibrium local states, classical and quantum features of weak chaos, transports in quantum billiards, the Welcher-Weg puzzle with a decaying atom, and the topics related to the quantum Zeno effect. Contents: Quantum Open Systems: Onsager Relation with the "Slow" Degrees of the Field in the White Noise Equation Based on Stochastic Limit (L Accardi et al.); Nonequilibrium Local States in Relativistic Quantum Field Theory (I Ojima); Fluctuation Theorem, Nonequilibrium Steady States and MacLennan-Zubarev Ensembles of a Class of Large Quantum Systems (S Tasaki & T Matsui); Quantum Chaology: Weak Chaos: Classical and Quantum Features (R Artuso); Quantum Transport in Quantum Billiards: From Kelvin Through Arnold (K Nakamura); On Quantum-Classical Correspondence and Chaos Degree for Baker's Map (K Inoue et al.); Quantum Measurements and Related Topics: Welcher-Weg Puzzle with a Decaying Atom (S Takagi); Unstable Systems and Quantum Zeno Phenomena in Quantum Field Theory (P Facchi & S Pascazio); Quantum Decomposition and Quantum Central Limit Theorem (A Hora & N Obata); and other papers. Readership: Researchers in probability & statistics, quantum physics, stochastic theory, mathematical physics and nonlinear science Patterns: Prelude to a Dynamical Description -- Linear Stage of Pattern Formation -- Model Equations -- Swift--Hohenberg equation -- Newell--Whitehead--Segel equation -- Coupled amplitude equations -- Phase equations -- The Ginzburg--Landau Equation -- The dissipative Ginzburg--Landau equation -- Nerve membrane excitation and the CGL equation -- Optical dynamics and the CGL equation -- Simple patterns in the CGL equation -- Phase equations revisited -- Gallery of phenomena -- 'Crystal' Formation -- Quasicrystals -- Octagons, decagons, and dodecagons -- A generalized Swift-Hohenberg model -- The 'turbulent' crystal -- Breaking of Order -- A simple model for domain walls -- Topological defects -- The birth of penta-hepta defects -- Dislocations and domain walls in Faraday ripples -- Localized Patterns -- Bistable media -- Dynamical disorder of structures -- Particle interaction -- Chaotic scattering -- Spirals -- Active spirals -- Spirals in the complex Ginzburg--Landau equation -- Spirals in the FitzHugh-Nagumo model -- Passive spirals -- Spirals in the Faraday experiment -- Spirals in Rayleigh-Benard convection -- Patterns in Oscillating Soap Films -- Models for vorticity generation -- Marangoni wave model -- The role of air -- Patterns in Colonies of Microorganisms -- Dictyostelium discoideum -- Esherichia coli -- Bacillus subtilis -- Spatial Disorder -- Characteristics of space series -- The Grassberger-Procaccia algorithm -- Qualitative description of developing disorder