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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Physical Review Letters, American Physical Society, 2018, 121 (2), pp.020601. 〈10.1103/PhysRevLett.121.020601〉
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Soumis le : lundi 10 septembre 2018 - 16:47:39
Dernière modification le : jeudi 15 novembre 2018 - 20:26:53

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PhysRevLett.121.020601.pdf
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Fernando Caballero, Cesare Nardini, Frederic Van Wijland, Michael Cates. Strong Coupling in Conserved Surface Roughening: A New Universality Class?. Physical Review Letters, American Physical Society, 2018, 121 (2), pp.020601. 〈10.1103/PhysRevLett.121.020601〉. 〈hal-01871379〉

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