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Phase ordering dynamics of reconstituting particles.

F A Gómez Albarracín1, H D Rosales1, M D Grynberg1

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This study examines particle adsorption and desorption dynamics. Attractive interactions lead to diffusive behavior, while repulsive forces result in subdiffusive decay and jamming.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Theoretical Physics

Background:

  • Investigates large-time dynamics of one-dimensional systems.
  • Focuses on adsorption-desorption of extended hard-core particles (k-mers).
  • Considers interactions between constituent monomers.

Purpose of the Study:

  • Analyze the emergence of sectors with nonlocal conservation laws for k≥3.
  • Evaluate dynamic exponents using finite-size scaling analyses.
  • Determine universality classes for attractive and repulsive interactions.

Main Methods:

  • Finite-size scaling analysis of relaxation times.
  • Spectral gap analysis of evolution operators.
  • Simulated quenches down to T=0.

Main Results:

  • Attractive interactions lead to diffusive universality class for k≥2 at low temperatures.
  • A common scaling function emerges from simulated quenches to T=0.
  • Repulsive interactions result in subdiffusive decay to a jammed phase.

Conclusions:

  • Low-temperature dynamics for attractive interactions align with Glauber dynamics.
  • Repulsive interactions create metastable states decaying subdiffusively.
  • The study reveals distinct large-time dynamics based on interaction type.