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Active hydrodynamics of synchronization and ordering in moving oscillators
Tirthankar Banerjee1, Abhik Basu1
1Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Calcutta 700064, India.
Physical Review. E
|September 28, 2017
Summary
This study develops a hydrodynamic theory for moving noisy oscillators, revealing how active effects and mobility control collective synchronization. Findings explain diverse ordering phenomena, from long-range to short-range, in physical and biological systems.
Area of Science:
- Physics
- Biological Systems
- Complex Systems
Background:
- Emergent collective behaviors in moving interacting agents remain an open challenge.
- Controlling synchronization and order in noisy, diffusively moving oscillators is crucial.
Purpose of the Study:
- To construct a generic hydrodynamic theory for active phase fluctuations in 2D systems.
- To investigate the mutual influence of phase fluctuations and oscillator mobility.
Main Methods:
- Developed a generic hydrodynamic theory for active phase fluctuations.
- Modeled a large collection of nearly-phase-coherent moving oscillators in two dimensions.
Main Results:
- The interplay between active effects and oscillator mobility dictates synchronization.
- Observed phenomena range from long-range, nearly-long-range, and quasi-long-range orders to instabilities and desynchronization.
- Highlighted complex dependencies of synchronization on active effects.
Conclusions:
- The developed theory provides a framework for understanding collective behaviors in active matter systems.
- Findings are testable in various experimental systems, including chemical reactions and biological clocks.
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