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Symmetric exclusion processes on a ring with moving defects.

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This study examines the symmetric simple exclusion process (SSEP) with moving defects, revealing their impact on system structure and transport. A new SSEP model with sequential updates is also introduced, showing connections to the original model.

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Area of Science:

  • Statistical Mechanics
  • Complex Systems
  • Non-equilibrium Physics

Background:

  • The symmetric simple exclusion process (SSEP) is a fundamental model in statistical mechanics.
  • Previous work introduced an SSEP model with mobile defects.
  • Understanding the collective behavior of defects is crucial for complex systems.

Purpose of the Study:

  • To generalize the SSEP model by incorporating multiple uniformly moving defects.
  • To investigate the collective effects of these defects on spatial structure and transport properties.
  • To introduce and analyze an SSEP with ordered sequential (sitewise) updates.

Main Methods:

  • Mathematical modeling of the SSEP with mobile defects.
  • Analysis of particle hopping rates and their local modifications by defects.
  • Exploration of collective defect behavior and its influence on system dynamics.
  • Introduction and comparison of an ordered sequential update SSEP.

Main Results:

  • Defects significantly alter the spatial structure and transport properties of the SSEP.
  • The collective motion of defects leads to emergent behaviors.
  • The ordered sequential update SSEP demonstrates a close connection to the defect-driven model.

Conclusions:

  • The generalized SSEP model provides insights into systems with mobile disorder.
  • Collective defect dynamics play a key role in modulating SSEP properties.
  • The introduced sequential update model offers a complementary perspective on SSEP behavior.