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Titolo:
SOLITARY EXCITATIONS IN DISCRETE 2-DIMENSIONAL NONLINEAR SCHRODINGER MODELS WITH DISPERSIVE DIPOLE-DIPOLE INTERACTIONS
Autore:
CHRISTIANSEN PL; GAIDIDEI YB; JOHANSSON M; RASMUSSEN KO; MEZENTSEV VK; RASMUSSEN JJ;
Indirizzi:
TECH UNIV DENMARK,DEPT MATH MODELLING DK-2800 LYNGBY DENMARK RISO NATL LAB,DEPT OPT & FLUID DYNAM DK-4000 ROSKILDE DENMARK
Titolo Testata:
Physical review. B, Condensed matter
fascicolo: 18, volume: 57, anno: 1998,
pagine: 11303 - 11318
SICI:
0163-1829(1998)57:18<11303:SEID2N>2.0.ZU;2-U
Fonte:
ISI
Lingua:
ENG
Soggetto:
INTRINSIC LOCALIZED MODES; 2-DIMENSIONAL ANHARMONIC LATTICES; RANGE INTERPARTICLE INTERACTIONS; WAVE COLLAPSE; SOLITONS; EQUATIONS; DYNAMICS; SYSTEMS; INSTABILITY; REGIMES;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Science Citation Index Expanded
Citazioni:
53
Recensione:
Indirizzi per estratti:
Citazione:
P.L. Christiansen et al., "SOLITARY EXCITATIONS IN DISCRETE 2-DIMENSIONAL NONLINEAR SCHRODINGER MODELS WITH DISPERSIVE DIPOLE-DIPOLE INTERACTIONS", Physical review. B, Condensed matter, 57(18), 1998, pp. 11303-11318

Abstract

The dynamics of discrete two-dimensional nonlinear Schrodinger modelswith long-range dispersive interactions is investigated. In particular, we focus on the cases where the dispersion arises from a dipole-dipole interaction, assuming the dipole moments at each lattice site to be aligned either in the lattice plane (anisotropic case) or perpendicular to the lattice plane (isotropic case). We investigate the nature of the linear dispersion relation for these two cases, and derive a criterion for the modulational instability of a plane wave with respect to long-wavelength perturbations. Furthermore, we study the on-site localized stationary states of the system numerically and analytically using a variational approach. In general, the narrow, intrinsically localized states are found to be stable, while broad, ''continuumlike'' excitations are unstable and may either collapse into intrinsically localized modes or disperse when a small perturbation is applied.

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Documento generato il 28/09/20 alle ore 11:51:32