TY - JOUR
T1 - Coarsening dynamics of the XY model
AU - Yurke, B.
AU - Pargellis, A. N.
AU - Kovacs, T.
AU - Huse, D. A.
PY - 1993
Y1 - 1993
N2 - It is the conventional wisdom that the correlation length for the XY model with linear damping should asymptotically grow diffusively as the square root of time after a quench into the ordered phase. This implies that the defect density ρ should decay with time as ρt-ν with the scaling exponent ν=1. We present evidence, by numerically integrating the equations of motion for a two-dimensional XY model, for a logarithmic correction to this scaling which makes it difficult to reach the asymptotic regime ν=-d(lnρ)/d(lnt)=1. Even after the defect density has decayed by three orders of magnitude ν=0.91, which still deviates by 10% from the asymptotic value.
AB - It is the conventional wisdom that the correlation length for the XY model with linear damping should asymptotically grow diffusively as the square root of time after a quench into the ordered phase. This implies that the defect density ρ should decay with time as ρt-ν with the scaling exponent ν=1. We present evidence, by numerically integrating the equations of motion for a two-dimensional XY model, for a logarithmic correction to this scaling which makes it difficult to reach the asymptotic regime ν=-d(lnρ)/d(lnt)=1. Even after the defect density has decayed by three orders of magnitude ν=0.91, which still deviates by 10% from the asymptotic value.
UR - http://www.scopus.com/inward/record.url?scp=0001404506&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.47.1525
DO - 10.1103/PhysRevE.47.1525
M3 - Article
AN - SCOPUS:0001404506
SN - 1063-651X
VL - 47
SP - 1525
EP - 1530
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
ER -