Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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Articles dans des revues à comité de lecture

Local scale invariances in the bosonic contact and pair-contact processes
Baumann F., Stoimenov S., Henkel M.
Journal of Physics A: Mathematical and General 39 (2006) 4095
DOI : 10.1088/0305-4470/39/16/001
ArXiv : cond-mat/0510778 [PDF]

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 Schroedinger-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 Schroedinger-invariant part of the action. For the bosonic contact process, the representation of the Schroedinger group can be derived from the free diffusion equation, whereas for the bosonic pair-contact process, a new representation of the Schroedinger group related to a nonlinear Schroedinger 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.



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