Phys. Rev. E 77, 051804 (2008) [5 pages]Exact solution to ideal chain with fixed angular momentumReceived 6 February 2008; revised 7 April 2008; published 13 May 2008 The statistical mechanics of a noninteracting polymer chain in the limit of a large number of monomers is considered when the total angular momentum L is fixed. The radius of gyration for a ring polymer in this situation is derived exactly in closed form by functional integration techniques. Even when L=0 the radius of gyration differs from that of a random walk by a prefactor of order unity. The dependence on L is discussed qualitatively and the large-L limit can be understood by physical arguments, which can also be extended to self-avoiding chains. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.77.051804
DOI:
10.1103/PhysRevE.77.051804
PACS:
82.35.Lr, 82.37.−j, 82.80.Ms
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