Shock probes in a one-dimensional Katz-Lebowitz-Spohn model

Abstract

We consider shock probes in a one-dimensional driven diffusive medium with nearest neighbor Ising interaction (KLS model). Earlier studies based on an approximate mapping of the present system to an effective zero-range process concluded that the exponents characterising the decays of several static and dynamical correlation functions of the probes depend continuously on the strength of the Ising interaction. On the contrary, our numerical simulations indicate that over a substantial range of the interaction strength, these exponents remain constant and their values are the same as in the case of no interaction (when the medium executes an ASEP). We demonstrate this by numerical studies of several dynamical correlation functions for two probes and also for a macroscopic number of probes. Our results are consistent with the expectation that the short-ranged correlations induced by the Ising interaction should not affect the large time and large distance properties of the system, implying that scaling forms remain the same as in the medium with no interactions present.

Accepted in Physical Review E

References in corpus (10)

• Phase Transitions in one-dimensional nonequilibrium systems
• Forced motion of a probe particle near the colloidal glass transition
• Bethe Ansatz Solution for a Defect Particle in the Asymmetric Exclusion Process
• Novel phase-separation transition in one-dimensional driven models
• Tagged Particle Correlations in the Asymmetric Simple Exclusion Process: Finite Size Effects
• Modelling one-dimensional driven diffusive systems by the Zero-Range Process
• Long-range attraction between probe particles mediated by a driven fluid
• Sharp crossover and anomalously large correlation length in driven systems
• Dynamics of Shock Probes in Driven Diffusive Systems
• Dynamical scaling for probe particles in a driven fluid

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• Motion of condensates in non-Markovian zero-range dynamics
• Universal scaling for second class particles in a one-dimensional misanthrope process