Phase transitions and correlations in the bosonic pair contact process with diffusion: Exact results

Abstract

The variance of the local density of the pair contact process with diffusion (PCPD) is investigated in a bosonic description. At the critical point of the absorbing phase transition (where the average particle number remains constant) it is shown that for lattice dimension d>2 the variance exhibits a phase transition: For high enough diffusion constants, it asymptotically approaches a finite value, while for low diffusion constants the variance diverges exponentially in time. This behavior appears also in the density correlation function, implying that the correlation time is negative. Yet one has dynamical scaling with a dynamical exponent calculated to be z=2.

20 pages, 5 figures

References in corpus (4)

• Absorbing Phase Transitions of Branching-Annihilating Random Walks
• On the critical behavior of the one dimensional, diffusive pair contact process
• Universality in the pair contact process with diffusion
• The kinetic spherical model in a magnetic field

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