Conformational Entropy of Compact Polymers

Abstract

Exact results for the scaling properties of compact polymers on the square lattice are obtained from an effective field theory. The entropic exponent γ=117/112 is calculated, and a line of fixed points associated with interacting chains is identified; along this line γvaries continuously. Theoretical results are checked against detailed numerical transfer matrix calculations, which also yield a precise estimate for the connective constant κ=1.47280(1).

4 pages, 1 figure

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