Local scale-invariances in the bosonic contact and pair-contact processes
Abstract
Local scale-invariance for ageing systems without detailed balance is tested through studying the dynamical symmetries of the critical bosonic contact process and the critical bosonic pair-contact process.Their field-theoretical actions can be split into a Schr\"odinger-invariant term and a pure noise term. It is shown that the two-time response and correlation functions are reducible to certain multipoint response functions which depend only on the Schr\"odinger-invariant part of the action. For the bosonic contact process, the representation of the Schr\"odinger group can be derived from the free diffusion equation, whereas for the bosonic pair-contact process, a new representation of the Schr\"odinger group related to a non-linear Schr\"odinger equation with dimensionful couplings is constructed. The resulting predictions of local scale-invariance for the two-time responses and correlators are completely consistent with the exactly-known results in both models.
Keywords
Cite
@article{arxiv.cond-mat/0510778,
title = {Local scale-invariances in the bosonic contact and pair-contact processes},
author = {Florian Baumann and Stoimen Stoimenov and Malte Henkel},
journal= {arXiv preprint arXiv:cond-mat/0510778},
year = {2009}
}
Comments
Latex2e, 28 pp, with IOP macros. A new paragraphe was added in the first section. Version to appear in J. Phys. A: Math. Gen