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- W2085572362 abstract "We describe in detail and extend a recently introduced nonperturbative renormalization group (RG) method for surface growth. The scale invariant dynamics which is the key ingredient of the calculation is obtained as the fixed point of a RG transformation relating the representation of the microscopic process at two different coarse-grained scales. We review the RG calculation for systems in the Kardar-Parisi-Zhang (KPZ) universality class and compute the roughness exponent for the strong coupling phase in dimensions from $1$ to $9.$ Discussions of the approximations involved and possible improvements are also presented. Moreover, very strong evidence of the absence of a finite upper critical dimension for KPZ growth is presented. Finally, we apply the method to the linear Edwards-Wilkinson dynamics where we reproduce the known exact results, proving the ability of the method to capture qualitatively different behaviors." @default.
- W2085572362 created "2016-06-24" @default.
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- W2085572362 date "1999-06-01" @default.
- W2085572362 modified "2023-10-04" @default.
- W2085572362 title "Scale invariant dynamics of surface growth" @default.
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- W2085572362 doi "https://doi.org/10.1103/physreve.59.6460" @default.
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