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Localization due to topological stochastic disorder in active networks.

Dekel Shapira1, Dganit Meidan1, Doron Cohen1

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Summary
This summary is machine-generated.

Active networks model self-propelling particles. Topological stochastic disorder (TSD) emerges from nonuniform illumination, leading to unique relaxation behaviors and localization effects in these nonequilibrium systems.

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Area of Science:

  • Statistical mechanics
  • Complex systems
  • Non-equilibrium physics

Background:

  • Active networks model systems with self-propulsion, like Janus particles.
  • Particle orientation dictates self-propulsion direction, with transitions between locations and orientations.
  • Topological stochastic disorder (TSD) arises from nonuniform illumination, creating local nonzero circulations.

Purpose of the Study:

  • To investigate the consequences of topological stochastic disorder (TSD) in active networks.
  • To explore routes to underdamped relaxation in the presence of TSD.
  • To analyze the role of localization in TSD phenomena.

Main Methods:

  • Modeling active networks with nodes representing particle location and orientation.
  • Analyzing stochastic transitions including hopping and orientation switching.
  • Investigating the non-Hermitian nature of TSD and its complex relaxation spectrum.

Main Results:

  • TSD leads to a complex relaxation spectrum, distinct from Anderson or Sinai disorder.
  • Three distinct routes to underdamped relaxation were identified.
  • Localization was found to play a significant role in the analysis of TSD.

Conclusions:

  • TSD in active networks presents unique physical phenomena due to its non-Hermitian nature.
  • Underdamped relaxation and localization are key aspects influenced by TSD.
  • The study highlights implications for the bulk-edge correspondence principle in such systems.