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On the origin of multiscaling in stochastic-field models of surface growth
Gallego Amez, Rafael; Castro Ponce, Mario; López Martín, Juan M. (2016-09-05)Multiscaling appears in some non-equilibrium systems when different moments of a bulk averaged state variable scale with different and nontrivial exponents. This multiexponent scaling behaviour is highly nontrivial and is ... -
Pseudospectral versus finite-difference schemes in the numerical integration of stochastic models of surface growth
Gallego Amez, Rafael; Castro Ponce, Mario; López Martín, Juan M. (2007-11-01)We present a comparison between finite differences schemes and a pseudospectral method applied to the numerical integration of stochastic partial differential equations that model surface growth. We have studied, in 1%2B1 ... -
Scaling of local slopes, conservation laws, and anomalous roughening in surface growth
López Martín, Juan M.; Castro Ponce, Mario; Gallego Amez, Rafael (2005-04-29)We argue that symmetries and conservation laws greatly restrict the form of the terms entering the long wavelength description of growth models exhibiting anomalous roughening. This is exploited to show by dynamic ...