Finite-size effects on the dynamics of the zero-range process

Abstract

We study finite-size effects on the dynamics of a one-dimensional zero-range process which shows a phase transition from a low-density disordered phase to a high-density condensed phase. The current fluctuations in the steady state show striking differences in the two phases. In the disordered phase, the variance of the integrated current shows damped oscillations in time due to the motion of fluctuations around the ring as a dissipating kinematic wave. In the condensed phase, this wave cannot propagate through the condensate, and the dynamics is dominated by the long-time relocation of the condensate from site to site.

5 pages, 5 figures, version published in Phys. Rev. E Rapid Communications

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Cited by in corpus (7)

• Finite size effects and metastability in zero-range condensation
• Diffusion in a logarithmic potential: scaling and selection in the approach to equilibrium
• Current large deviations for partially asymmetric particle systems on a ring
• Lower current large deviations for zero-range processes on a ring
• Critical dynamics of the jamming transition in one-dimensional nonequilibrium lattice-gas models
• Power Spectra in a Zero-Range Process on a Ring: Total Occupation Number in a Segment
• Finite-size effects in dynamics of zero-range processes