This volume is dedicated to the theory of phase transitions and their interdisciplinary aspects. More specifically, the idea is to discuss the notion of the Gibbs state and its use (and limitations) in different applications. This text should be of interest to mathematicians, physicists and biologists.
Non-Gibbsian States (A C D van Enter et al.); Fault-Tolerant and Self-Organizing Cellular Automata (P Gacs); Adiabatic Evolution in Quantum Mechanics (A Joye & Ch-Ed Pfister); Stability of Pure Thermodynamic Phases in Quantum Statistics (H Narnhofer); Stereoscopic Vision and Multiscale Gibbsian Fields (D Petritis); Phase Separation and Interfaces for Spin Systems with KAC Potentials (E Presutti); Remarks on the Evolution of the Notion of State in Classical Statistical Mechanics (A S Wightman); Logarithmic Sobolev Inequalities for Gibbs Measures and Applications (B Zegarlinski); Finite Size Effects on Inclined Interfaces in an Ising Ferromagnet (A Ziermann); Gauge Invariance and Universality in Incompressible Quantum Fluids (J Frohlich & U M Studer); Disordered Quantum Spin Systems, Percolation and Contact Processes (A Klein); The (Non-)Gibbsian Nature of Stationary States for Stochastic Dynamics (C Maes). (Part contents).