TY - JOUR
T1 - Langevin algorithms for spin models
AU - Catterall, S. M.
AU - Drummond, I. T.
AU - Horgan, R. R.
PY - 1991/1/17
Y1 - 1991/1/17
N2 - In this paper we investigate higher order Langevin schemes for simulating lattice spin models. We present a derivation of a second order algorithm and show how it may be combined with Fourier acceleracceleration so as to combat the effects of critical slowing down. We derive explicit results for the case of general SO(N) non-linear sigma models and apply them to the SO(3) model. The strength of the method is that it may be applied to any spin model.
AB - In this paper we investigate higher order Langevin schemes for simulating lattice spin models. We present a derivation of a second order algorithm and show how it may be combined with Fourier acceleracceleration so as to combat the effects of critical slowing down. We derive explicit results for the case of general SO(N) non-linear sigma models and apply them to the SO(3) model. The strength of the method is that it may be applied to any spin model.
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U2 - 10.1016/0370-2693(91)90417-O
DO - 10.1016/0370-2693(91)90417-O
M3 - Article
AN - SCOPUS:13744265041
SN - 0370-2693
VL - 254
SP - 177
EP - 184
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 1-2
ER -