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

2006/09/30 by Malte Henkel · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th #math-ph #math.MP #nlin.SI #physics.chem-ph

paper · pdf · doi:10.1088/0953-8984/19/6/065101

published as J.Phys.Condens.Matter 19 (2007) 065101 · Latex2e with IOP macros, 32 pages; extended discussion on contact process and new section on kinetic growth processes

arxiv created 2006/11/26 · openalex publication_date 2007/01/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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known from magnetic systems can be taken over, some of the scaling relations between the ageing exponents are no longer valid.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.

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Cited by

• Aging processes in reversible reaction-diffusion systems