End-to-end distance of a single self-interacting self-avoiding polymer chain: d−1 expansion

Abstract

Exact enumeration data in dimensions d=2–6 is used to evaluate the exact d-dimensional mean-square end-to-end distance R 2 n of a short ( n⩽11) n-bond self-interacting self-avoiding random walk on hypercubic lattices as function of the neighbor contact energy. This exact form is transformed into a large n expansion of R 2 n through fifth order in d -1 but to all orders in the contact energy.