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This book describes two main classes of non-equilibrium phase-transitions: (a) static and dynamics of transitions into an absorbing state, and (b) dynamical scaling in far-from-equilibrium relaxation behaviour and ageing. The first volume begins with an introductory chapter which recalls the main concepts of phase-transitions, set for the convenience of the reader in an equilibrium context. The extension to non-equilibrium systems is made by using directed percolation as the main paradigm of absorbing phase transitions and in view of the richness of the known results an entire chapter is devoted to it, including a discussion of recent experimental results. Scaling theories and a large set of both numerical and analytical methods for the study of non-equilibrium phase transitions are thoroughly discussed. The techniques used for directed percolation are then extended to other universality classes and many important results on model parameters are provided for easy reference.

Nonequilibrium statistical mechanics. --- Phase transformations (Statistical physics) --- Mathematical physics. --- Physical mathematics --- Physics --- Phase changes (Statistical physics) --- Phase transitions (Statistical physics) --- Phase rule and equilibrium --- Statistical physics --- Non-equilibrium statistical mechanics --- Statistical mechanics --- Mathematics --- Distribution (Probability theory. --- Statistical physics. --- Theoretical, Mathematical and Computational Physics. --- Probability Theory and Stochastic Processes. --- Condensed Matter Physics. --- Complex Systems. --- Numerical and Computational Physics, Simulation. --- Statistical Physics and Dynamical Systems. --- Mathematical statistics --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Statistical methods --- Probabilities. --- Condensed matter. --- Dynamical systems. --- Physics. --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Risk --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Nonequilibrium statistical mechanics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book describes two main classes of non-equilibrium phase-transitions: (a) static and dynamics of transitions into an absorbing state, and (b) dynamical scaling in far-from-equilibrium relaxation behaviour and ageing. The first volume begins with an introductory chapter which recalls the main concepts of phase-transitions, set for the convenience of the reader in an equilibrium context. The extension to non-equilibrium systems is made by using directed percolation as the main paradigm of absorbing phase transitions and in view of the richness of the known results an entire chapter is devoted to it, including a discussion of recent experimental results. Scaling theories and a large set of both numerical and analytical methods for the study of non-equilibrium phase transitions are thoroughly discussed. The techniques used for directed percolation are then extended to other universality classes and many important results on model parameters are provided for easy reference.

Operational research. Game theory --- Numerical analysis --- Mathematical physics --- Statistical physics --- Solid state physics --- Computer. Automation --- stochastische analyse --- statistiek --- wiskunde --- algoritmen --- fysica --- kansrekening --- numerieke analyse