Energy localization in the Φ4 oscillator chain

• Autor(a) principal: Ponno, A.
• Data de Publicação: 2006
• Outros Autores: Ruggiero, J. [UNESP], Drigo, E. [UNESP], De Luca, J.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1103/PhysRevE.73.056609; http://hdl.handle.net/11449/224756

We study energy localization in a finite one-dimensional Φ4 oscillator chain with initial energy in a single oscillator of the chain. We numerically calculate the effective number of degrees of freedom sharing the energy on the lattice as a function of time. We find that for energies smaller than a critical value, energy equipartition among the oscillators is reached in a relatively short time. On the other hand, above the critical energy, a decreasing number of particles sharing the energy is observed. We give an estimate of the effective number of degrees of freedom as a function of the energy. Our results suggest that localization is due to the appearance, above threshold, of a breather-like structure. Analytic arguments are given, based on the averaging theory and the analysis of a discrete nonlinear Schrödinger equation approximating the dynamics, to support and explain the numerical results. © 2006 The American Physical Society.