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Localization due to topological stochastic disorder in active networks
Dekel Shapira1, Dganit Meidan1, Doron Cohen1
1Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.
Physical Review. E
|August 17, 2018
Summary
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.
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.
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