TY - JOUR
T1 - Modulation analysis of large-scale discrete vortices
AU - Cisneros, Luis A.
AU - Minzoni, Antonmaria A.
AU - Panayotaros, Panayotis
AU - Smyth, Noel F.
PY - 2008/9/17
Y1 - 2008/9/17
N2 - The behavior of large-scale vortices governed by the discrete nonlinear Schrödinger equation is studied. Using a discrete version of modulation theory, it is shown how vortices are trapped and stabilized by the self-consistent Peierls-Nabarro potential that they generate in the lattice. Large-scale circular and polygonal vortices are studied away from the anticontinuum limit, which is the limit considered in previous studies. In addition numerical studies are performed on large-scale, straight structures, and it is found that they are stabilized by a nonconstant mean level produced by standing waves generated at the ends of the structure. Finally, numerical evidence is produced for long-lived, localized, quasiperiodic structures.
AB - The behavior of large-scale vortices governed by the discrete nonlinear Schrödinger equation is studied. Using a discrete version of modulation theory, it is shown how vortices are trapped and stabilized by the self-consistent Peierls-Nabarro potential that they generate in the lattice. Large-scale circular and polygonal vortices are studied away from the anticontinuum limit, which is the limit considered in previous studies. In addition numerical studies are performed on large-scale, straight structures, and it is found that they are stabilized by a nonconstant mean level produced by standing waves generated at the ends of the structure. Finally, numerical evidence is produced for long-lived, localized, quasiperiodic structures.
UR - http://www.scopus.com/inward/record.url?scp=52649107610&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.78.036604
DO - 10.1103/PhysRevE.78.036604
M3 - Artículo
C2 - 18851177
SN - 1539-3755
VL - 78
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
M1 - 036604
ER -