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Kardar-Parisi-Zhang interface growth with spatially correlated noise and anisotropy

KLOSS Thomas


Orsay, salle 355 Aile Sud

Interfaces in nature which are generated by a stochastic growth process are often not flat but the randomness tends to roughen the surface. To develop a theoretical understanding of this phenomenon, Kardar, Parisi and Zhang (KPZ) proposed a nonlinear Langevin-type equation to mimic the dynamics of growing interfaces. From its first derivation in 1986, the KPZ equation is nowadays recognized to describe a wide class of nonequilibrium and disordered systems and has thus emerged as one of the fundamental theoretical models to study nonequilibrium phase transitions and scaling phenomena. Despite its apparent simplicity, the KPZ equation has resisted most of the theoretical attempts to provide a complete description of its strong coupling phase in generic dimensions. In this talk, I will focus on two variants of the KPZ equation : one with spatially long-range correlated noise and a second one including anisotropy. Using nonperturbative renormalization groups method we are able to probe the phase diagram of both variants in various dimensions including the strong-coupling sector. We find a unified picture that is both consistent with previous studies valid at weak coupling as well as current lattice simulations in the strong- coupling regime.

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