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A remark on diffusion of directed polymers in random environments. (English) Zbl 0924.60053
A system of random walks, interpreted as that of directed polymers interacting with a environment which is random in space and time, may with probability one display a diffusive behaviour. Minimal assumptions on the distribution of the environment are established. Precise estimates are obtained for the asymptotics of the mean square displacement of the system in dimensions exceeding two. This generalizes earlier results due to Y. G. Sinai [Fundam. Math. 147, No. 2, 173-180 (1995; Zbl 0835.60062)].

MSC:
60G50 Sums of independent random variables; random walks
82C41 Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics
82C44 Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics
82D60 Statistical mechanical studies of polymers
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References:
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