Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-10-28
J.Phys. A39 (2006) 4095-4118
Physics
Condensed Matter
Statistical Mechanics
Latex2e, 28 pp, with IOP macros. A new paragraphe was added in the first section. Version to appear in J. Phys. A: Math. Gen
Scientific paper
10.1088/0305-4470/39/16/001
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.
Baumann Florian
Henkel Malte
Stoimenov Stoimen
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