Ageing, dynamical scaling and its extensions in many-particle systems without detailed balance

Abstract

Recent studies on the phenomenology of ageing in certain many-particle systems which are at a critical point of their non-equilibrium steady-states, are reviewed. Examples include the contact process, the parity-conserving branching-annihilating random walk, two exactly solvable particle-reaction models and kinetic growth models. While the generic scaling descriptions known from magnetic system can be taken over, some of the scaling relations between the ageing exponents are no longer valid. In particular, there is no obvious generalization of the universal limit fluctuation-dissipation ratio. The form of the scaling function of the two-time response function is compared with the prediction of the theory of local scale-invariance.

Latex2e with IOP macros, 32 pages; extended discussion on contact process and new section on kinetic growth processes

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Cited by in corpus (17)

• Experimental realization of directed percolation criticality in turbulent liquid crystals
• Phenomenology of ageing in the Kardar-Parisi-Zhang equation
• Kinetics of the long-range spherical model
• Aging processes in systems with anomalous slow dynamics
• Ageing in bosonic particle-reaction models with long-range transport
• Fluctuation Ratios in the Absence of Microscopic Time Reversibility
• The derivations, central extensions and automorphism group of the Lie algebra $W$
• Local Scale-Invariance of the 2+1 dimensional Kardar-Parisi-Zhang model
• On non-equilibrium physics and string theory
• Autocorrelation functions in phase-ordering kinetics from local scale-invariance
• The non-equilibrium response of the critical Ising model: Universal scaling properties and Local Scale Invariance
• Relaxation processes in a system with logarithmic growth
• Aging processes in reversible reaction-diffusion systems
• Aging processes in reversible reaction-diffusion systems: Monte Carlo simulations
• Conformal symmetry of an extended Schrodinger equation and its relativistic origin
• On the predictive power of Local Scale Invariance
• Ageing in homogeneous systems at criticality