Energy transfer mechanisms in a dipole chain: From energy equipartition to the formation of breathers
| Autor: | Peter Schmelcher, Alexandra V. Zampetaki, J. Pablo Salas |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Breather Chaotic Time evolution FOS: Physical sciences 02 engineering and technology 021001 nanoscience & nanotechnology Polarization (waves) Nonlinear Sciences - Chaotic Dynamics 01 natural sciences symbols.namesake Nonlinear system Dipole Quantum electrodynamics 0103 physical sciences symbols Physics - Atomic and Molecular Clusters Chaotic Dynamics (nlin.CD) 010306 general physics 0210 nano-technology Hamiltonian (quantum mechanics) Atomic and Molecular Clusters (physics.atm-clus) Excitation |
| Zdroj: | Physical review. E. 98(2-1) |
| ISSN: | 2470-0053 |
| Popis: | We study the energy transfer in a classical dipole chain of $N$ interacting rigid rotating dipoles. The underlying high--dimensional potential energy landscape is analyzed in particular by determining the equilibrium points and their stability in the common plane of rotation. Starting from the minimal energy configuration, the response of the chain to excitation of a single dipole is investigated. Using both the linearized and the exact Hamiltonian of the dipole chain, we detect an approximate excitation energy threshold between a weakly and a strongly nonlinear dynamics. In the weakly nonlinear regime, the chain approaches in the course of time the expected energy equipartition among the dipoles. For excitations of higher energy, strongly localized excitations appear whose trajectories in time are either periodic or irregular, relating to the well-known discrete or chaotic breathers, respectively. The phenomenon of spontaneous formation of domains of opposite polarization and phase locking is found to commonly accompany the time evolution of the chaotic breathers. Finally, the sensitivity of the dipole chain dynamics to the initial conditions is studied as a function of the initial excitation energy by computing a fast chaos indicator. The results of this study confirm the aforementioned approximate threshold value for the initial excitation energy, below which the dynamics of the dipole chain is regular and above which it is chaotic. Thirteen figures |
| Databáze: | OpenAIRE |
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