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Pattern formation in a coupled driven diffusive system.

Guilherme E Freire Oliveira1, Ronald Dickman1, Maxim O Lavrentovich2

  • 1Universidade Federal de Minas Gerais, Departamento de Física and National Institute of Science and Technology for Complex Systems, ICEx, C. P. 702, 30123-970 Belo Horizonte, Minas Gerais, Brazil.

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Summary
This summary is machine-generated.

This study explores pattern formation in driven particle mixtures using a hybrid model, revealing new intermediate stripe phases and conditions for stripe orientation. The findings highlight complex behaviors arising from drive, interactions, and noise.

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Area of Science:

  • Statistical Physics
  • Complex Systems
  • Soft Matter Physics

Background:

  • Investigating pattern formation in driven binary mixtures is crucial for understanding complex system dynamics.
  • Previous models like the driven Widom-Rowlison lattice gas (DWRLG) have explored phase behavior.
  • A hybrid approach combining lattice gas and field theory offers new insights.

Purpose of the Study:

  • To investigate pattern formation in a driven mixture of two mutually repulsive particle species using a field-based lattice model (FLM).
  • To compare FLM behavior with DWRLG and explore novel pattern formation under drive.
  • To develop a continuum description and identify conditions for stripe formation.

Main Methods:

  • Utilized a field-based lattice model (FLM), a hybrid of DWRLG and statistical field theory.
  • Derived coupled partial differential equations for particle densities via gradient expansion.
  • Employed a numerical solver using the pseudospectral method with dealiasing and stochastic time differencing.

Main Results:

  • FLM captures DWRLG bulk behavior, suggesting shared universality.
  • An intermediate regime with irregular stripes, not seen in DWRLG, was discovered.
  • Perpendicular stripe formation in high density is linked to differences in particle density velocities.
  • The continuum model shows novel parallel stripes and chaotic patterns.

Conclusions:

  • The FLM effectively models driven binary mixtures, revealing new intermediate phases.
  • A continuum description aids in understanding stripe formation mechanisms.
  • Interplay of drive, interactions, and noise generates rich pattern formation phenomena.