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Discrete vortices on spatially nonuniform two-dimensional electric networks
1Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Region, 142432 Russia.
Physical Review. E
|August 16, 2020
Summary
Quantized discrete vortices in nonlinear electric oscillator arrays can be temporarily trapped by coupling barriers. Dissipative broadening eventually destabilizes these vortex clusters, causing them to move unexpectedly.
Area of Science:
- Nonlinear dynamics
- Condensed matter physics
- Array of nonlinear electric oscillators
Background:
- Two-dimensional arrays of nonlinear electric oscillators exhibit complex dynamics.
- Nearest neighbor interactions are modeled using nonequal capacitors.
Purpose of the Study:
- To theoretically investigate the behavior of quantized discrete vortices in such systems.
- To analyze the influence of coupling profiles and healing length on vortex dynamics.
Main Methods:
- Reduction of system dynamics to a weakly dissipative defocusing discrete nonlinear Schrödinger equation.
- Analysis of translationally noninvariant linear dispersive coefficients.
- Examination of vortex cluster stability and movement.
Main Results:
- Vortex cluster behavior is highly dependent on the spatial profile of internode coupling.
- The ratio of healing length to lattice spacing significantly impacts dynamics.
- Circular coupling barriers can stably trap vortex clusters initially.
- Dissipative broadening of vortex cores leads to eventual instability and sudden movement.
Conclusions:
- The stability and mobility of quantized discrete vortices are sensitive to system parameters.
- Dissipation plays a crucial role in the long-term behavior of vortex clusters.
- Nonuniform coupling profiles can create transient trapping potentials for vortices.
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