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Workshop (September 24-28 2001)

LOCALIZED EXCITATIONS ON LATTICES - FROM CLASSICAL TO QUANTUM, FROM THEORY TO PRACTICE

Coordinators : Alan R. Bishop and Sergej Flach

The workshop is the final part of a 4-weeks event which is devoted to modern problems of nonlinear lattice structure and dynamics.

The first Focus Week of the event considers nonlinear deformation waves - a subject on the edge between discreteness and continuity. The second Focus Week turns to computational approaches to nonlinear phenomena in intrinsically discrete systems (mainly lattice dynamics of solids). The third Focus Week deals with aspects of quantization of localized excitations on lattices.

Thus the final workshop week completes the bridge and will mainly focus on recent advantages in the broad field of localized excitations, also widely known as discrete breathers (DB) on lattices.

A selection of main topics (in alphabetical order!) includes:

  • DBs in dissipative systems
  • DBs in Josephson array systems
  • DBs in lattice dynamics of solids
  • DBs in magnetic systems
  • DBs in nonlinear photonic crystals
  • disorder and nonlinearity - DBs versus Anderson modes?
  • finite temperatures - self excited DBs?
  • interaction of DBs with DBs
  • interaction of DBs with plane waves
  • interaction of Dbs with quasiparticles
  • nonequilibrium systems - good for DBs or not?
  • proofs of existence of DBs
  • quantization of DBs

    We expect around 70 participants in the workshop, with a big fraction being associated to the European Commission Research Training Network LOCNET. To provide with enough time for discussions and work, we will keep the time reserved for oral presentations at a reasonable level. Thus the workshop should offer enough time for discussions to exchange ideas and methods, to stimulate cooperations and to do theoretical work right ``on the spot'' using the excellent facilities of the Max Planck Institute. The links of this workshop part with the seminar Focus Weeks of the event will give us the possibility to interact with colleagues working in other subfields of nonlinear science with mutual benefit.

    Preliminary Scientific Program