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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 mechanical studies 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
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##### References:
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