The winding angle distribution for Brownian and SAW revisited
نویسنده
چکیده
The topological constraints on Brownian walks are a long standing subject of interest in mathematics and polymer physics. A particularly fruitful example is the study of the winding angle θ, the continuous angle swept by the movement around a set of points (curves) in two (three) dimensions . In a plane, the probability distribution at large time or length l for the winding angle of a Brownian walk around any point O was determined by Spitzer [1] as P [
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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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