Ageing without detailed balance: local scale invariance applied to two exactly solvable models
arXiv:cond-mat/0512140 · doi:10.1088/1742-6596/40/1/010
Abstract
I consider ageing behaviour in two exactly solvable reaction-diffusion systems. Ageing exponents and scaling functions are determined. I discuss in particular a case in which the equality of two critical exponents, known from systems with detailed balance, does not hold any more. Secondly it is shown that the form of the scaling functions can be understood by symmetry considerations.
arXiv comment6 pages, contribution to the summer school "Ageing and the Glass Transition" held in Luxemburg in September 05. Published version
References in corpus (20)
- Theory of Phase Ordering Kinetics
- SCHRÖdinger Invariance and Strongly Anisotropic Critical Systems
- Ageing Properties of Critical Systems
- Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
- Phenomenology of local scale invariance: from conformal invariance to dynamical scaling
- Nonequilibrium critical dynamics of ferromagnetic spin systems
- `Real' vs `Imaginary' Noise in Diffusion-Limited Reactions
- Aging, phase ordering and conformal invariance
- Local scale-invariance and ageing in noisy systems
- Two-loop Critical Fluctuation-Dissipation Ratio for the Relaxational Dynamics of the O(N) Landau-Ginzburg Hamiltonian
- Aging in ferromagnetic systems at criticality near four dimensions
- Local scale invariance as dynamical space-time symmetry in phase-ordering kinetics
- Scaling of the linear response in simple ageing systems without disorder
- Bona Fide Thermodynamic Temperature in Nonequilibrium Kinetic Ising Models
- Scaling of the magnetic linear response in phase-ordering kinetics
- Ageing phenomena without detailed balance: the contact process
- Ageing in the critical contact process: a Monte Carlo study
- Dynamical symmetries of semi-linear Schrödinger and diffusion equations
- Ageing without detailed balance in the bosonic contact and pair-contact processes: exact results
- Phase transitions and correlations in the bosonic pair contact process with diffusion: Exact results