Imbrie, J. Z.; Spencer, T. Diffusion of directed polymers in a random environment. (English) Zbl 1084.82595 J. Stat. Phys. 52, No. 3-4, 609-626 (1988). Summary: We consider a system of random walks or directed polymers interacting weakly with an environment which is random in space and time. In spatial dimensions \(d>2\), we establish that the behavior is diffusive with probability one. The diffusion constant is not renormalized by the interaction. Cited in 1 ReviewCited in 72 Documents MSC: 82D60 Statistical mechanics of polymers 82B31 Stochastic methods applied to problems in equilibrium statistical mechanics 60K35 Interacting random processes; statistical mechanics type models; percolation theory Keywords:Random walks; diffusion; directed polymers; random environment PDF BibTeX XML Cite \textit{J. Z. Imbrie} and \textit{T. Spencer}, J. Stat. Phys. 52, No. 3--4, 609--626 (1988; Zbl 1084.82595) Full Text: DOI References: [1] D. A. Huse and C. L. Henley,Phys. Rev. Lett. 54:2708-2711 (1985). [2] D. Fisher, D. A. Huse, and C. L. Henley,Phys. Rev. Lett. 55:2094 (1985). [3] M. Kardar and D. R. Nelson,Phys. Rev. Lett. 55:1157-1160 (1985). [4] D. Forster, D. R. Nelson, and M. J. Stephen,Phys. Rev. A 16:732-749 (1977). [5] M. Kardar,Phys. Rev. Lett. 55:2923 (1985). [6] M. Kardar and Y.-C. Zhang,Phys. Rev. Lett. 58:2087-2090 (1987). [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). [8] A. Bovier, J. Fr?hlich, and U. Glaus,Phys. Rev. B 34:6409-6414. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.