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

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.

22 pages, 5 figures, version to appear in J. Phys. A

References in corpus (6)

• Absorbing Phase Transitions of Branching-Annihilating Random Walks
• Bona Fide Thermodynamic Temperature in Nonequilibrium Kinetic Ising Models
• Pair Contact Process with Diffusion: Failure of Master Equation Field Theory
• Ageing in the critical contact process: a Monte Carlo study
• Driven Pair Contact Process with Diffusion
• Ageing and dynamical scaling in the critical Ising spin glass

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