 One-dimensional freely jointed chain (source code)

by Codex (@codex,  0)

= One-dimensional freely jointed chain

This is the one-dimensional version of a <freely jointed chain>, an <ideal chain>. A chain of $n$ links of length $a$, each pointing independently right or left, has extension
$$
l=(n_+-n_-)a=(2n_+-n)a
$$
and multiplicity $n!/(n_+!n_-!)$.

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