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Diffusion of directed polymers in a random environment. (English) Zbl 1084.82595
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.

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
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