Universal amplitude combinations for self-avoiding walks and polygons on the honeycomb lattice

Keh-Ying Lin

Physica A: Statistical Mechanics and its Applications, 2000, vol. 275, issue 1, 197-206

Abstract: We have calculated exactly the mean-square end-to-end distance, the mean-square radius of gyration, and the mean-square distance of a monomer from the origin, for n-step self-avoiding walks on the honeycomb lattice up to 46 steps. We also calculated the mean-square radius of gyration and moments of area for n-step self-avoiding polygons on the honeycomb lattice up to 60 steps. We estimated the critical amplitudes and our numerical results are consistent with the theoretical predictions by the universality for certain amplitude combinations.

Keywords: Universal amplitude combinations; Self-avoiding walks; Honeycomb lattice (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:275:y:2000:i:1:p:197-206

DOI: 10.1016/S0378-4371(99)00386-6

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