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Persistent breathers in long-ranged discrete nonlinear Schrödinger models

C. Brunhuber* and F. G. Mertens

Y. Gaididei

  • Physikalisches Institut, Universität Bayreuth, D-95440 Bayreuth, Germany

  • Bogolyubov Institute for Theoretical Physics, 03143 Kiev, Ukraine

  • *Electronic address: Christian.Brunhuber@uni-bayreuth.de
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Phys. Rev. E 73, 056610 – Published 18 May, 2006

DOI: https://doi.org/10.1103/PhysRevE.73.056610

Abstract

The DNLS model including Kac-Baker long-range interactions and nonlinear damping exhibits prominent effects in computer simulations. The combination of long-range forces and damping yields a periodic pattern of stationary breathers from an originally uniformly distributed background. The inverse interaction radius determines the periodicity which can be understood in the quasicontinuum approximation of the system. For the undamped system, we investigate the impact of the long-range interactions on the transition to the persistent-breather phase, which only depends on the energy and the norm of the DNLS. Using Monte Carlo techniques, we can monitor the localization strength as a function of the the long-range radius and the system temperature, which is formally negative in the persistent-breather phase.

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Phys. Rev. E 73, 056610– Published 18 May, 2006
  • Received 16 February 2006

© 2006 American Physical Society

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