Anomalous fluctuations of directed polymers in random media.

@article{Hwa1994AnomalousFO,
  title={Anomalous fluctuations of directed polymers in random media.},
  author={Hwa and Fisher},
  journal={Physical review. B, Condensed matter},
  year={1994},
  volume={49 5},
  pages={
          3136-3154
        }
}
  • Hwa, Fisher
  • Published 14 September 1993
  • Physics, Medicine
  • Physical review. B, Condensed matter
A systematic analysis of large-scale fluctuations in the low-temperature pinned phase of a directed polymer in a random potential is described. These fluctuations come from rare regions with nearly degenerate ground states.'' The probability distribution of their sizes is found to have a power-law tail. The rare regions in the tail dominate much of the physics. The analysis presented here takes advantage of the mapping to the noisy Burgers' equation. It complements a phenomenological… 
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References

SHOWING 1-10 OF 43 REFERENCES
Spin Glass Theory and Beyond
This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular
Field Theory, the Renormalization Group, and Critical Phenomena: Graphs to Computers
Pertinent Concepts and Ideas in the Theory of Critical Phenomena Formulation of the Problem of Phase Transitions in Terms of Functional Integrals Functional Integrals in Quantum Field Theory
Phys. Rev. E
  • Phys. Rev. E
  • 1993
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1992
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1992
J. Phys. I
  • J. Phys. I
  • 1991
Phys. Rev. A
  • Phys. Rev. A
  • 1991
Phys. Rev. A
  • Phys. Rev. A
  • 1991
Phys. Rev. A Phys. Rev. A
  • Phys. Rev. A Phys. Rev. A
  • 1991
Phys. Rev. B
  • Phys. Rev. B
  • 1991
...
1
2
3
4
5
...