Winding angle distribution for planar random walk, polymer ring entangled with an obstacle, and all that: Spitzer-Edwards-Prager-Frisch model revisited

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dc.contributor.authorGrosberg A.
dc.contributor.authorFrisch H.
dc.date.accessioned2011-05-15T16:03:38Z
dc.date.available2011-05-15T16:03:38Z
dc.date.issued2003
dc.description.abstractUsing a general Green function formulation, we re-derive, both (i) Spitzer and his followers results for the winding angle distribution of the planar Brownian motion, and (ii) Edwards-Prager-Frisch results on the statistical mechanics of a ring polymer entangled with a straight bar. In the statistical mechanics part, we consider both cases of quenched and annealed topology, Among new results, we compute exactly the (expectation value of) the surface area of the locus of points such that each of them has linking number n with a given closed random walk trajectory (ring polymer). We also consider the generalizations of the problem for the finite diameter (disc-like) obstacle and winding within a cavity.
dc.description.versionArticle
dc.identifier.citationJournal of Physics A: Mathematical and General
dc.identifier.citation36
dc.identifier.citation34
dc.identifier.issn3054470
dc.identifier.other10.1088/0305-4470/36/34/303
dc.identifier.urihttp://hdl.handle.net/10019.1/12709
dc.titleWinding angle distribution for planar random walk, polymer ring entangled with an obstacle, and all that: Spitzer-Edwards-Prager-Frisch model revisited
dc.typeArticle
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