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oai:ir.soken.ac.jp:00003347
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Finite size effects for the ising model coupled to 2-D random surfaces
Finite size effects for the ising model coupled to 2-D random surfaces
1000020110091
20110091
湯川, 哲之
DASS, Narsingh D Hari
HANLON, B. E
YUKAWA, Tetsuyuki
metadata only access
© 1996 Published by Elsevier B.V.
Finite size effects for the Ising Model coupled to two-dimensional random surfaces are studied by exploiting the exact results from the 2-matrix models. The fixed area partition function is numerically calculated with arbitrary precision by developing an efficient algorithm for recursively solving the quintic equations so encountered. An analytic method for studying finite size effects is developed based on the behaviour of the free energy near its singular points. The generic form of finite size corrections so obtained are seen to be quite different from the phenomenological parameterisations used in the literature. The method of singularities is also applied to study the magnetic susceptibility. A brief discussion is presented on the implications of these results to the problem of a reliable determination of string susceptibility from numerical simulations.
Elsevier
1996-01-25
eng
journal article
https://ir.soken.ac.jp/records/3347
https://doi.org/10.1016/0370-2693(95)01491-8
10.1016/0370-2693(95)01491-8
03702693
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
368
1-2
55
63