Abstract
We study the formation of domain walls in a phase transition in which an S5×Z2 symmetry is spontaneously broken to S 3×S2. 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 r-071, as opposed to the usual t-1 scaling typical of regular Z2 networks.
| Original language | English (US) |
|---|---|
| Article number | 043513 |
| Journal | Physical Review D |
| Volume | 69 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2004 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
Formation of domain wall lattices. / Antunes, Nuno D.; Pogosian, Levon; Vachaspati, Tanmay.
In: Physical Review D, Vol. 69, No. 4, 043513, 2004.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Formation of domain wall lattices
AU - Antunes, Nuno D.
AU - Pogosian, Levon
AU - Vachaspati, Tanmay
PY - 2004
Y1 - 2004
N2 - We study the formation of domain walls in a phase transition in which an S5×Z2 symmetry is spontaneously broken to S 3×S2. 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 r-071, as opposed to the usual t-1 scaling typical of regular Z2 networks.
AB - We study the formation of domain walls in a phase transition in which an S5×Z2 symmetry is spontaneously broken to S 3×S2. 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 r-071, as opposed to the usual t-1 scaling typical of regular Z2 networks.
UR - http://www.scopus.com/inward/record.url?scp=1642418072&partnerID=8YFLogxK
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U2 - 10.1103/PhysRevD.69.043513
DO - 10.1103/PhysRevD.69.043513
M3 - Article
VL - 69
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 4
M1 - 043513
ER -