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Diffusion of directed polymers in a random environment

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Abstract

We consider a system of random walks or directed polymers interacting weakly with an environment which is random in space and time. In spatial dimensionsd>2, we establish that the behavior is diffusive with probability one. The diffusion constant is not renormalized by the interaction.

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References

  1. D. A. Huse and C. L. Henley,Phys. Rev. Lett. 54:2708–2711 (1985).

    Google Scholar 

  2. D. Fisher, D. A. Huse, and C. L. Henley,Phys. Rev. Lett. 55:2094 (1985).

    Google Scholar 

  3. M. Kardar and D. R. Nelson,Phys. Rev. Lett. 55:1157–1160 (1985).

    Google Scholar 

  4. D. Forster, D. R. Nelson, and M. J. Stephen,Phys. Rev. A 16:732–749 (1977).

    Google Scholar 

  5. M. Kardar,Phys. Rev. Lett. 55:2923 (1985).

    Google Scholar 

  6. M. Kardar and Y.-C. Zhang,Phys. Rev. Lett. 58:2087–2090 (1987).

    Google Scholar 

  7. J. Z. Imbrie, In:Mathematical Quantum Field Theory and Related Topics. J. S. Feldman and L. M. Rosen (eds.): Providence: American Mathematical Society (1988).

    Google Scholar 

  8. A. Bovier, J. Fröhlich, and U. Glaus,Phys. Rev. B 34:6409–6414.

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Imbrie, J.Z., Spencer, T. Diffusion of directed polymers in a random environment. J Stat Phys 52, 609–626 (1988). https://doi.org/10.1007/BF01019720

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  • DOI: https://doi.org/10.1007/BF01019720

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