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Intrinsic localized modes and chaos in damped driven rotator lattices
1Department of Physics and Astronomy, Arizona State University, Tempe, Arizona 85287-1504, USA.
Summary
Intrinsic localized rotational modes (ILRMs) in coupled dipole rotator lattices can become chaotic while remaining localized. This study explores generating random arrays of driven ILRMs using chaotic states, revealing unique absorption properties.
Area of Science:
- Nonlinear dynamics
- Condensed matter physics
- Statistical mechanics
Background:
- Coupled classical dipole rotator lattices exhibit complex behaviors.
- Intrinsic localized modes (ILMs) are important nonlinear phenomena.
- Parametric driving and damping introduce rich dynamics.
Purpose of the Study:
- Investigate the onset of chaos in intrinsic localized rotational modes (ILRMs).
- Analyze the stability of chaotic ILRMs.
- Develop a method for generating stationary, randomly spaced arrays of driven ILRMs.
Main Methods:
- Nonlinear stability analysis.
- Numerical simulations of coupled dipole rotator lattices.
- Exploitation of spatially extended chaotic states.
Main Results:
- ILRMs can become chaotic without losing their localized nature.
- A robust scheme for generating randomly spaced driven ILRM arrays was demonstrated.
- The absorption associated with these arrays shows unusual signatures.
Conclusions:
- Chaotic behavior in localized modes is possible and controllable.
- The developed scheme offers a novel way to create ordered structures from chaotic dynamics.
- Unusual absorption signatures provide new avenues for experimental verification.
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