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Title: Critical dynamics of the jamming transition in one-dimensional nonequilibrium lattice-gas models
Authors: Priyanka
Jain, Kavita
Keywords: Physics
Zero-Range Process
Issue Date: 2016
Publisher: American Physical Society
Citation: Priyanka; Jain, K., Critical dynamics of the jamming transition in one-dimensional nonequilibrium lattice-gas models. Physical Review E 2016, 93 (4), 10
Physical Review E
Abstract: We consider several one-dimensional driven lattice-gas models that show a phase transition in the stationary state between a high-density fluid phase in which the typical length of a hole cluster is of order unity and a low-density jammed phase where a hole cluster of macroscopic length forms in front of a particle. Using a hydrodynamic equation for an interface growth model obtained from the driven lattice-gas models of interest here, we find that in the fluid phase, the roughness exponent and the dynamic exponent that, respectively, characterize the scaling of the saturation width and the relaxation time of the interface with the system size are given by the Kardar-Parisi-Zhang exponents. However, at the critical point, we show analytically that when the equal-time density-density correlation function decays slower than inverse distance, the roughness exponent varies continuously with a parameter in the hop rates, but it is one-half otherwise. Using these results and numerical simulations for the density-density autocorrelation function, we further find that the dynamic exponent z = 3/2 in all cases.
Description: Restricted Access
ISSN: 2470-0045
Appears in Collections:Research Articles (Kavita Jain)

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