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

Sutapa Mukherji; Somendra M. Bhattacharjee

doi:10.1103/PhysRevE.63.051103

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

Statistical Mechanics 2009-11-07 v2 Soft Condensed Matter

Authors: Sutapa Mukherji , Somendra M. Bhattacharjee

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Abstract

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.

Keywords

renormalization group random walkers long-range interaction reunion exponent survival exponent binding-unbinding transition polymers quantum mechanics

Cite

@article{arxiv.cond-mat/0101128,
  title  = {Reunion of random walkers with a long range interaction: applications to polymers and quantum mechanics},
  author = {Sutapa Mukherji and Somendra M. Bhattacharjee},
  journal= {arXiv preprint arXiv:cond-mat/0101128},
  year   = {2009}
}

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)

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

Abstract

Keywords

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