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Analytical and simulation studies of driven diffusive system with asymmetric heterogeneous interactions.

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This study investigates multiple totally asymmetric simple exclusion processes (TASEP) with heterogeneous interactions. Introducing these interactions optimizes particle transport and reveals universal laws for driven diffusive systems.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Complex Systems

Background:

  • The totally asymmetric simple exclusion process (TASEP) models self-driven particles on lattices.
  • Existing research often simplifies interactions, limiting applicability to complex systems.

Purpose of the Study:

  • Investigate a multi-TASEP system with asymmetric heterogeneous interactions.
  • Determine universal laws governing particle configurations and transport.
  • Analyze the impact of heterogeneous interactions on system dynamics.

Main Methods:

  • Detailed balance principle for analyzing particle configurations.
  • Analytical methods and Monte Carlo simulations.
  • Examination of various system topologies and transition rates.

Main Results:

  • Local densities increase monotonically with global density and are spatially homogeneous.
  • Local currents increase non-monotonically with global density and correlate with forward rates.
  • Heterogeneous interactions significantly influence particle configurations in adjacent subsystems.

Conclusions:

  • Heterogeneous interactions enhance total current and optimize transport in multi-TASEP systems.
  • The findings contribute to understanding microscopic dynamics and non-equilibrium behavior.
  • This work provides a more realistic model for complex driven diffusive systems.