Maximum-entropy representation of non-Gaussian polymer distribution functions

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Abstract
The maximum‐entropy method is used to construct the end‐to‐end distribution function for lattice polymers when a large number of moments are known exactly. We use two‐dimensional lattice polymers with a finite range of intrachain interaction as examples since, for these systems, the end‐to‐end distribution function and any number of moments can be calculated exactly using Toeplitz matrices. For chains with strong intrachain interactions the distributions are very non‐Gaussian requiring up to six moments to reproduce the main features of the functions.