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

Sakuntala Chatterjee1, Mustansir Barma

  • 1Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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Numerical simulations show that Ising interaction strength does not affect shock probe exponents in a driven diffusive medium. Exponents remain constant, matching those without interaction (ASEP), contrary to prior theories.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Non-equilibrium Systems

Background:

  • The Kandel-Lieb-Shrock (KLS) model describes a 1D driven diffusive medium with Ising interactions.
  • Previous studies suggested continuous dependence of correlation function exponents on interaction strength.
  • Shock probes are used to analyze system dynamics and correlations.

Purpose of the Study:

  • To investigate the effect of nearest-neighbor Ising interaction on shock probe dynamics in a 1D driven diffusive medium.
  • To verify or refute the continuous dependence of scaling exponents on interaction strength.
  • To compare simulation results with theoretical predictions based on approximate mappings.

Main Methods:

  • Numerical simulations of the KLS model with shock probes.
  • Analysis of dynamical correlation functions for two and multiple probes.
  • Comparison of exponents with and without Ising interaction (ASEP).

Main Results:

  • Exponents characterizing correlation function decays were found to be constant over a range of Ising interaction strengths.
  • These constant exponents match the values observed in the absence of Ising interaction (ASEP).
  • Results were consistent for both two-probe and macroscopic probe scenarios.

Conclusions:

  • Short-ranged Ising correlations do not influence large-scale, long-time properties of the system.
  • Scaling forms of correlation functions remain invariant, similar to the non-interacting ASEP.
  • The approximate mapping to a zero-range process may not accurately capture the system's long-range behavior.