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Reunion of random walkers with a long range interaction: applications to polymers and quantum mechanics
S Mukherji1, S M Bhattacharjee
1Department of Physics and Meteorology, Indian Institute of Technology, Kharagpur 721 302, India. sutapa@phy.iitkgp.ernet.in
Abstract:
We use a renormalization group to calculate the reunion and survival exponents of a set of random walkers interacting with a long range 1/r2 and a short range interaction. These exponents are used to study the binding-unbinding transition of polymers and the behavior of several quantum problems.