Abstract
We introduce a class of generalized Langevin-type growth equations exhibiting long-ranged temporal correlations in kinetic roughening, and investigate memory effects and dynamic scaling behavior based on scaling analysis and numerical simulations. The critical exponents in the weak- and strong-coupling regions are obtained, and the interplay among temporal correlations is discussed. Our results show that these long-range interactions affect nontrivial scaling properties of the temporally correlated growth system.
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