Ageing without detailed balance: local scale invariance applied to two exactly solvable models

2005/12/31 by Florian Baumann · 1 citation
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1088/1742-6596/40/1/010

published as Journal of Physics: Conference Series 40 (2006) 86-92 · 6 pages, contribution to the summer school "Ageing and the Glass Transition" held in Luxemburg in September 05. Published version

openalex publication_date 2006/05/01 · arxiv created 2006/06/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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.

Citations

• Nominal Thermodynamic Temperature in Nonequilibrium Kinetic Ising Models
• Scaling of the linear response in simple aging systems without disorder
• Local scale-invariance and ageing in noisy systems

Cited by

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