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Ageing without detailed balance in the bosonic contact and pair-contact processes: exact results

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arxiv cond-mat/0504243 v2 pith:OVIDEWN4 submitted 2005-04-11 cond-mat.stat-mech hep-thmath-phmath.MPnlin.SI

Florian Baumann , Malte Henkel , Michel Pleimling , Jean Richert This is my paper · ORCID
classification cond-mat.stat-mechhep-thmath-phmath.MPnlin.SI
keywords ageingbosonicexponentspair-contactprocessbalancecontactcritical
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abstract

Ageing in systems without detailed balance is studied in the exactly solvable bosonic contact process and the critical bosonic pair-contact process. The two-time correlation function and the two-time response function are explicitly found. In the ageing regime, the dynamical scaling of these is analyzed and exact results for the ageing exponents and the scaling functions are derived. For the critical bosonic pair-contact process the autocorrelation and autoresponse exponents agree but the ageing exponents $a$ and $b$ are shown to be distinct.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Schr\"odinger-invariance in non-equilibrium critical dynamics

    cond-mat.stat-mech 2025-10 unverdicted novelty 6.0 of 10

    Scaling functions for correlators in non-equilibrium critical dynamics with z=2 are predicted from a new time-dependent non-equilibrium Schrödinger algebra representation and confirmed in exactly solvable ageing models.

  2. Physical ageing from generalised time-translation-invariance

    cond-mat.stat-mech 2025-04 conditional novelty 5.0 of 10

    A single time-dependent symmetry transformation is claimed to explain the known scaling phenomenology of physical ageing and to predict new finite-size plateau scalings.

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