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Journal Articles Physical Review Letters Year : 2018

Strong Coupling in Conserved Surface Roughening: A New Universality Class?

Abstract

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 strongcoupling 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.
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Dates and versions

hal-01871379 , version 1 (10-09-2018)

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Fernando Caballero, Cesare Nardini, Frederic van Wijland, Michael E Cates. Strong Coupling in Conserved Surface Roughening: A New Universality Class?. Physical Review Letters, 2018, 121 (2), pp.020601. ⟨10.1103/PhysRevLett.121.020601⟩. ⟨hal-01871379⟩
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