We study nonlinear surface growth driven by spatially localized noise, a model that can be mapped onto directed polymers with random contact interactions. These systems are asymptotically free and show nonperturbative strong-coupling behavior on large scales in one dimension; hence they are possibly the simplest examples with these properties. The strong-coupling regime represents new universality classes of directed growth and of polymer delocalization transitions, which we analyze in detail.
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Kallabis et al. (1995) studied this question.
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