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Persistent breathers in long-ranged discrete nonlinear Schrödinger models.
C Brunhuber1, F G Mertens, Y Gaididei
1Physikalisches Institut, Universität Bayreuth, Germany. Christian.Brunhuber@uni-bayreuth.de
Summary
The discrete nonlinear Schrödinger (DNLS) model with long-range interactions and damping creates periodic patterns of stationary breathers. These patterns arise from uniform backgrounds and depend on interaction range and system energy.
Area of Science:
- Nonlinear dynamics
- Condensed matter physics
- Computational physics
Background:
- The discrete nonlinear Schrödinger (DNLS) model is crucial for studying wave phenomena.
- Long-range interactions and nonlinear damping significantly influence system behavior.
- Stationary breathers are localized energy packets that can persist in nonlinear systems.
Purpose of the Study:
- To investigate the effects of Kac-Baker long-range interactions and nonlinear damping in the DNLS model.
- To analyze the formation of periodic patterns of stationary breathers.
- To understand the transition to the persistent-breather phase in undamped systems.
Main Methods:
- Computer simulations were employed to observe system dynamics.
- The quasicontinuum approximation was used to analyze periodicity.
- Monte Carlo techniques were utilized to study localization strength.
Main Results:
- The combination of long-range forces and damping generates periodic stationary breathers from uniform backgrounds.
- The inverse interaction radius dictates the observed periodicity.
- In undamped systems, long-range interactions influence the transition to the persistent-breather phase, dependent on energy and norm.
Conclusions:
- The DNLS model with specific interactions and damping exhibits predictable breather formation.
- System parameters like interaction radius and energy control breather dynamics and phase transitions.
- Localization strength can be monitored as a function of interaction range and temperature.