Overlap, disorder, and directed polymers: A renormalization group approach.

@article{Mukherji1994OverlapDA,
  title={Overlap, disorder, and directed polymers: A renormalization group approach.},
  author={Mukherji},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  year={1994},
  volume={50 4},
  pages={
          2407-2410
        }
}
  • Mukherji
  • Published 25 November 1993
  • Mathematics, Physics, Medicine
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
The overlap of a (d+1)-dimensional directed polymer of length t in a random medium is studied using a renormalization group approach. In d\ensuremath{\gtrsim}2 it vanishes at ${\mathit{T}}_{\mathit{c}}$ for t\ensuremath{\rightarrow}\ensuremath{\infty} as ${\mathit{t}}^{\mathrm{\ensuremath{\Sigma}}}$ where \ensuremath{\Sigma}=[(d-1)/(3-2d)](d/z) and z is the transverse spatial rescaling exponent. The same formula holds in d=1 for any finite temperature and it agrees with previous numerical… 
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