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Reunion of random walkers with a long range interaction: applications to polymers and quantum mechanics

Sutapa Mukherji, Somendra M. Bhattacharjee

Published 2001-01-10, updated 2001-12-06Version 2

We use renormalization group to calculate the reunion and survival exponents of a set of random walkers interacting with a long range $1/r^2$ and a short range interaction. These exponents are used to study the binding-unbinding transition of polymers and the behavior of several quantum problems.

Comments: Revtex 3.1, 9 pages (two-column format), 3 figures. Published version (PRE 63, 051103 (2001)). Reference corrections incorporated (PRE 64, 059902 (2001) (E)
Journal: Phys. Rev. E 63, 051103 (2001); 64, 059902 (2001) (E)
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