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.

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