Finite size effects at the Yang-Lee edge singularity and branched polymers in a plate geometry

H.K. Janssen and W. Koch

Physica A: Statistical Mechanics and its Applications, 1996, vol. 227, issue 1, 66-80

Abstract: Finite size scaling effects are investigated for Ising-like systems in a hypercube Ld near the Yang-Lee edge singularity. Besides exact results for d = 1, we present series in ε13 for some universal quantities in dimensions d = 6 − ε gained by field-theoretic techniques. Using the supersymmetric connection between the Yang-Lee theory in dimension d and the statistics of branched polymers in D = d + 2, we find the animal number in a periodic plate geometry with 2 infinite and d compactified dimensions. In particular, we exactly calculate the full cross-over between three-dimensional and two-dimensional animals.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:227:y:1996:i:1:p:66-80

DOI: 10.1016/0378-4371(95)00466-1

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