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.


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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