TY - JOUR

T1 - Non-variational effects in a domain wall model equation

AU - Hayot, F.

AU - Fourtune, L.

N1 - Funding Information:
We are grateful to Yves Pomeau and C. Jayaprakash for very interesting and helpful discussions. This work was supported by the U.S. Department of Energy (Contract No. DE-F-G02-88ER13916A000), and benefitted from computer time provided by The Ohio Supercomputer Center.

PY - 1993/10/1

Y1 - 1993/10/1

N2 - We study in two dimensions a Ginzburg-Landau equation for a complex amplitude, with broken phase invariance. The addition of non-variational terms breaks the chiral symmetry of the equation and leads to striking effects. A non-variational term is provided by an external, complex field with time dependence. Our results, which are for two dimensional systems, can be phrased in the language of domain walls. We investigate how these walls move when a weak, complex magnetic field, is applied. There occurs spiral type behavior around stationary points, where the amplitude is zero, and there exists a critical radius above which circular domains grow.

AB - We study in two dimensions a Ginzburg-Landau equation for a complex amplitude, with broken phase invariance. The addition of non-variational terms breaks the chiral symmetry of the equation and leads to striking effects. A non-variational term is provided by an external, complex field with time dependence. Our results, which are for two dimensional systems, can be phrased in the language of domain walls. We investigate how these walls move when a weak, complex magnetic field, is applied. There occurs spiral type behavior around stationary points, where the amplitude is zero, and there exists a critical radius above which circular domains grow.

UR - http://www.scopus.com/inward/record.url?scp=43949163120&partnerID=8YFLogxK

U2 - 10.1016/0378-4371(93)90098-O

DO - 10.1016/0378-4371(93)90098-O

M3 - Article

AN - SCOPUS:43949163120

SN - 0378-4371

VL - 199

SP - 75

EP - 86

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1

ER -