TY - JOUR

T1 - Scaling and persistence in the two-dimensional Ising model

AU - Jain, S.

AU - Flynn, H.

N1 - Funding: University of Derby research studentship.

PY - 2000/12/1

Y1 - 2000/12/1

N2 - The spatial distribution of persistent spins at zero temperature in the pure two-dimensional Ising model is investigated numerically. A persistence correlation length, ξ(t) ∼ tZ, is identified such that for length scales r ≪ ξ(t) the persistent spins form a fractal with dimension df; for length scales r ≫ ξ(t) the distribution of persistent spins is homogeneous. The zero-temperature persistence exponent, θ, is found to satisfy the scaling relation θ = Z(2 - df) with θ = 0.209 ± 0.002 of Jain (Jain S 1999 Phys. Rev. E 59 R2493), Z = 1/2 and df ∼ 1.58.

AB - The spatial distribution of persistent spins at zero temperature in the pure two-dimensional Ising model is investigated numerically. A persistence correlation length, ξ(t) ∼ tZ, is identified such that for length scales r ≪ ξ(t) the persistent spins form a fractal with dimension df; for length scales r ≫ ξ(t) the distribution of persistent spins is homogeneous. The zero-temperature persistence exponent, θ, is found to satisfy the scaling relation θ = Z(2 - df) with θ = 0.209 ± 0.002 of Jain (Jain S 1999 Phys. Rev. E 59 R2493), Z = 1/2 and df ∼ 1.58.

UR - http://www.scopus.com/inward/record.url?scp=0034356145&partnerID=8YFLogxK

UR - https://iopscience.iop.org/article/10.1088/0305-4470/33/47/305

U2 - 10.1088/0305-4470/33/47/305

DO - 10.1088/0305-4470/33/47/305

M3 - Article

AN - SCOPUS:0034356145

SN - 0305-4470

VL - 33

SP - 8383

EP - 8388

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 47

ER -