Strong Coupling in Conserved Surface Roughening: A New Universality Class?
van Wijland, Frédéric
Phys Rev Lett
American Physical Society (APS)
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Caballero, F., Nardini, C., van Wijland, F., & Cates, M. (2018). Strong Coupling in Conserved Surface Roughening: A New Universality Class?. Phys Rev Lett, 121 (2), 020601. https://doi.org/10.1103/PhysRevLett.121.020601
The Kardar-Parisi-Zhang (KPZ) equation defines the main universality class for nonlinear growth and roughening of surfaces. But under certain conditions, a conserved KPZ equation (CKPZ) is thought to set the universality class instead. This has non-mean-field behavior only in spatial dimension d<2. We point out here that CKPZ is incomplete: It omits a symmetry-allowed nonlinear gradient term of the same order as the one retained. Adding this term, we find a parameter regime where the one-loop renormalization group flow diverges. This suggests a phase transition to a new growth phase, possibly ruled by a strong-coupling fixed point and thus described by a new universality class, for any d>1. In this phase, numerical integration of the model in d=2 gives clear evidence of non-mean-field behavior.
Royal Society (RP080053)
European Research Council (740269)
Royal Society (RP170002)
Engineering and Physical Sciences Research Council (1781654)
External DOI: https://doi.org/10.1103/PhysRevLett.121.020601
This record's URL: https://www.repository.cam.ac.uk/handle/1810/284762