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On finite-size scaling in the presence of dangerous irrelevant variables |
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| Authors: | Jordan G Brankov Nicholai S Tonchev |
| Institution: | (1) Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, USSR;(2) Present address: Institute of Mechanics and Biomechanics, Bulgarian Academy of Science, 1113 Sofia, Bulgaria;(3) Institute for Solid State Physics, Bulgarian Academy of Sciences, 1174 Sofia, Bulgaria |
| Abstract: | A scaling hypothesis on finite-size scaling in the presence of a dangerous irrelevant variable is formulated for systems with long-range interaction and general geometryL
d–d ×
d
. A characteristic length which obeys a universal finite-size scaling relation is defined. The general conjectures are based on exact results for the mean spherical model with inverse power law interaction. |
| Keywords: | Finite-size scaling dangerous irrelevant variables spherical model long-range interactions |
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