TY - JOUR
T1 - Formation of domain wall lattices
AU - Antunes, Nuno D.
AU - Pogosian, Levon
AU - Vachaspati, Tanmay
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2004/2/27
Y1 - 2004/2/27
N2 - We study the formation of domain walls in a phase transition in which an [Formula Presented] symmetry is spontaneously broken to [Formula Presented] In one compact spatial dimension we observe the formation of a stable domain wall lattice. In two spatial dimensions we find that the walls form a network with junctions, there being six walls to every junction. The network of domain walls evolves so that junctions annihilate antijunctions. The final state of the evolution depends on the relative dimensions of the simulation domain. In particular we never observe the formation of a stable lattice of domain walls for the case of a square domain but we do observe a lattice if one dimension is somewhat smaller than the other. During the evolution, the total wall length in the network decays with time as [Formula Presented] as opposed to the usual [Formula Presented] scaling typical of regular [Formula Presented] networks.
AB - We study the formation of domain walls in a phase transition in which an [Formula Presented] symmetry is spontaneously broken to [Formula Presented] In one compact spatial dimension we observe the formation of a stable domain wall lattice. In two spatial dimensions we find that the walls form a network with junctions, there being six walls to every junction. The network of domain walls evolves so that junctions annihilate antijunctions. The final state of the evolution depends on the relative dimensions of the simulation domain. In particular we never observe the formation of a stable lattice of domain walls for the case of a square domain but we do observe a lattice if one dimension is somewhat smaller than the other. During the evolution, the total wall length in the network decays with time as [Formula Presented] as opposed to the usual [Formula Presented] scaling typical of regular [Formula Presented] networks.
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U2 - 10.1103/PhysRevD.69.043513
DO - 10.1103/PhysRevD.69.043513
M3 - Article
AN - SCOPUS:1642418072
VL - 69
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 4
ER -