Restricted solid-on-solid model and a directed polymer in random potentials

초록

We review the restricted solid on solid growth model which corresponds to the Kardar Parisi Zhang equation partial derivativeh/partial derivativet = vdel(2) + lambda(delh)(2) + eta, where h and eta are the surface height and the random noise of the deposition, respectively. The interface width grows as t(beta) with beta approximate to 1/(d + 1). The relation between the restricted solid on solid growth model and the directed polymer problem in random potentials is described, and the phase transition of the models is discussed.

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