Analysis of classical phase space and energy transfer for two rotating dipoles in an electric field

Abstract

We explore the classical dynamics of two interacting rotating dipoles that are fixed in the space and exposed to an external homogeneous electric field. Kinetic energy transfer mechanisms between the dipoles are investigated varying both the amount of initial excess kinetic energy of one of them and the strength of the electric field. In the field-free case, and depending on the initial excess energy an abrupt transition between equipartition and non-equipartition regimes is encountered. The study of the phase space structure of the system as well as the formulation of the Hamiltonian in an appropriate coordinate frame provide a thorough understanding of this sharp transition. When the electric field is turned on, the kinetic energy transfer mechanism is significantly more complex and the system goes through different regimes of equipartition and non-equipartition of the energy including chaotic behavior.

arXiv comment21 pages, 11 figures

References in corpus (12)

• The physics of dipolar bosonic quantum gases
• The Fermi-Pasta-Ulam problem: 50 years of progress
• Manipulation of Molecules with Electromagnetic Fields
• Photonics meets excitonics: natural and artificial molecular aggregates
• The Fermi-Pasta-Ulam "numerical experiment": history and pedagogical perspectives
• Efficient Energy Transfer in Light-Harvesting Systems, II: Quantum-Classical Comparison, Flux Network, and Robustness Analysis
• Dipolar Molecules in Optical Lattices
• Synchronization of Interacting Quantum Dipoles
• Strongly driven quantum pendulum of the OCS molecule
• Tail resonances of FPU q-breathers and their impact on the pathway to equipartition
• Nonlinear dynamics of ionization stabilization of atoms in intense laser fields
• Some analytic results on the FPU paradox

Cited by in corpus (3)

• Statics and dynamics of quasi one-dimensional Bose-Einstein condensate in harmonic and dimple trap
• Energy transfer mechanisms in a dipole chain: From energy equipartition to the formation of breathers
• Nonlinear dynamics and energy transfer for two rotating dipoles in an external field: A three-dimensional analysis