Noise, diffusion, and hyperuniformity

Abstract

We consider driven many-particle models which have a phase transition between an active and an absorbing phase. Like previously studied models, we have particle conservation, but here we introduce an additional symmetry - when two particles interact, we give them stochastic kicks which conserve center of mass. We find that the density fluctuations in the active phase decay in the fastest manner possible for a disordered isotropic system, and we present arguments that the large scale fluctuations are determined by a competition between a noise term which generates fluctuations, and a deterministic term which reduces them. Our results may be relevant to shear experiments and may further the understanding of hyperuniformity which occurs at the critical point.

References in corpus (5)

• Designer disordered materials with large complete photonic band gaps
• Hyperuniformity of critical absorbing states
• Hyperuniform density fluctuations and diverging dynamic correlations in periodically driven colloidal suspensions
• Universality Class of the Reversible-Irreversible Transition in Sheared Suspensions
• Dynamics of interacting particle systems: stochastic process and field theory

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