Finite-size scaling properties of the damage distance and dynamical critical exponent for the Ising model

Fugao Wang and Masuo Suzuki

Physica A: Statistical Mechanics and its Applications, 1995, vol. 220, issue 3, 534-541

Abstract: With the damage spreading method, scaling properties of the damage distance on the Ising model with heat bath dynamics are studied numerically. With the parallel flipping scheme, the scaling curves fall on two curves, which depend on the odd or even lattice sizes. The both scaling curves give the consistent dynamical exponent as z = 2.16±0.04 for d = 2 and z = 2.09±0.05 for d = 3, respectively. By shifting one of them, two curves overlap each other perfectly. Meanwhile, all the scaling curves obtained by single-spin flipping processes (with different odd or even lattice sizes) fall on a single curve, from which the consistent dynamical critical exponent with the parallel scheme is obtained z = 2.18±0.02 for d = 2 and z = 2.08±0.04 for d = 3.

Keywords: Damage spreading; Ising model; Heat bath dynamics; Dynamical critical exponent (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:220:y:1995:i:3:p:534-541

DOI: 10.1016/0378-4371(95)00263-7

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