Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-09-26
J.Phys.Condens.Matter 19 (2007) 065101
Physics
Condensed Matter
Statistical Mechanics
Latex2e with IOP macros, 32 pages; extended discussion on contact process and new section on kinetic growth processes
Scientific paper
10.1088/0953-8984/19/6/065101
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known from magnetic system can be taken over, some of the scaling relations between the ageing exponents are no longer valid.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.
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