TY - JOUR
T1 - Node-avoiding lévy flight
T2 - A numerical test of the μ expansion
AU - Halley, J. W.
AU - Nakanishi, H.
PY - 1985/1/1
Y1 - 1985/1/1
N2 - We study an extension of Lévy flight to include self-repulsion in the path of the walk. We call the extension node-avoiding Lévy flight and we show its equivalence to the n?0 limit of a statistical mechanical model for a magnetic system with long-range interactions between the spins. By use of this equivalence we are able to make a detailed comparison between the results of the μ expansion for the magnetic model, a Monte Carlo simulation of the Lévy flight model, and the results of a Flory-type argument. This is the first comparison of the μ expansion for μ 1 with a numerical simulation for any model. Some speculations are made on applications of the model of node-avoiding Lévy flight.
AB - We study an extension of Lévy flight to include self-repulsion in the path of the walk. We call the extension node-avoiding Lévy flight and we show its equivalence to the n?0 limit of a statistical mechanical model for a magnetic system with long-range interactions between the spins. By use of this equivalence we are able to make a detailed comparison between the results of the μ expansion for the magnetic model, a Monte Carlo simulation of the Lévy flight model, and the results of a Flory-type argument. This is the first comparison of the μ expansion for μ 1 with a numerical simulation for any model. Some speculations are made on applications of the model of node-avoiding Lévy flight.
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U2 - 10.1103/PhysRevLett.55.551
DO - 10.1103/PhysRevLett.55.551
M3 - Article
AN - SCOPUS:25344442223
SN - 0031-9007
VL - 55
SP - 551
EP - 554
JO - Physical Review Letters
JF - Physical Review Letters
IS - 6
ER -