Rodolfo Cuerno

Dynamical phase diagram of synchronization in one dimension: universal behavior from Edwards-Wilkinson to random deposition through Kardar-Parisi-Zhang

Ricardo Gutierrez, Rodolfo Cuerno

Synchronization in one dimension displays generic scale invariance with universal properties previously observed in surface kinetic roughening and the wider context of the Kardar-Parisi-Zhang (KPZ) universality class. This has been established for phase oscillators and also for some limit-cycle oscillators, both in …

Dynamical phase diagram of synchronization in one dimension: universal behavior from Edwards-Wilkinson to random deposition through Kardar-Parisi-Zhang

Ricardo Gutierrez, Rodolfo Cuerno

Synchronization in one dimension displays generic scale invariance with universal properties previously observed in surface kinetic roughening and the wider context of the Kardar-Parisi-Zhang (KPZ) universality class. This has been established for phase oscillators and also for some limit-cycle oscillators, both in …

Exponents and front fluctuations in the quenched Kardar-Parisi-Zhang universality class of one- and two-dimensional interfaces

A. Tajuelo-Valbuena, Jara Trujillo, Juan J. Meléndez, Rodolfo Cuerno et autres

We have simulated an automaton version of the quenched Kardar-Parisi-Zhang (qKPZ) equation in one and two dimensions in order to study the scaling properties of the interface at the depinning transition. Specifically, the α, β, θ, and δ critical exponents characterizing the …

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Universality classes with strong coupling in conserved surface roughening: explicit vs emergent symmetries

Pedro Gatón-Pérez, Enrique Rodríguez-Fernández, Rodolfo Cuerno

The occurrence of strong coupling or nonlinear scaling behavior for kinetically rough interfaces whose dynamics are conserved, but not necessarily variational, remains to be fully understood. Here we formulate and study a family of conserved stochastic evolution equations for one-dimensional interfaces, whose …

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Universality Classes with Strong Coupling in Conserved Surface Roughening: Explicit vs Emergent Symmetries

Pedro Gatón-Pérez, Enrique Rodríguez-Fernández, Rodolfo Cuerno

The occurrence of strong coupling or nonlinear scaling behavior for kinetically rough interfaces whose dynamics are conserved, but not necessarily variational, remains to be fully understood. Here we formulate and study a family of conserved stochastic evolution equations for one-dimensional interfaces, whose …

Nonconserved critical dynamics of the two-dimensional Ising model as a surface kinetic roughening process

Héctor Vaquero del Pino, Rodolfo Cuerno

We have revisited the nonconserved (or model A) critical dynamics of the two-dimensional Ising model through numerical simulations of its lattice and continuum formulations—Glauber dynamics and the time-dependent Ginzburg-Landau (TDGL) equation, respectively—to analyze them with current tools from surface kinetic roughening. Our …

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Surface nanopatterning of Si by ion beam irradiation with sub-sputter-threshold energy

Jae M. Seo, Huimin Jeong, W. Kim, Javier Muñoz-García et autres

Artículos en revistas

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Numerical integration of the KPZ and related equations on networks: the case of the Cayley tree

J. M. Marcos, Juan J. Meléndez, Rodolfo Cuerno, J. J. Ruiz-Lorenzo

Abstract The numerical integration of stochastic growth equations on non-Euclidean networks presents unique challenges due to the nonlinearities that occur in many relevant models and to the structural constraints of the networks. In this study, we integrate the Kardar–Parisi–Zhang (KPZ), Edwards–Wilkinson and …

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Microscopic fluctuations in the spreading fronts of circular wetting liquid droplets

J. M. Marcos, Juan J. Meléndez, Rodolfo Cuerno, J. J. Ruiz-Lorenzo

We study numerically the kinetic roughening properties of the precursor fronts of nonvolatile liquid droplets spreading on solid substrates, for the case of circular droplets, more frequently addressed in experiments. To this end, we perform kinetic Monte Carlo (kMC) simulations of a …

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Influence of coupling symmetries and noise on the critical dynamics of synchronizing oscillator lattices

Ricardo Gutiérrez, Rodolfo Cuerno

Recent work has shown that the synchronization process in lattices of self-sustained (phase and limit-cycle) oscillators displays universal scale-invariant behavior previously studied in the physics of surface kinetic roughening. The type of dynamic scaling ansatz which is verified depends on the randomness …

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Influence of coupling symmetries and noise on the critical dynamics of synchronizing oscillator lattices

Ricardo Gutiérrez, Rodolfo Cuerno

Recent work has shown that the synchronization process in lattices of self-sustained (phase and limit-cycle) oscillators displays universal scale-invariant behavior previously studied in the physics of surface kinetic roughening. The type of dynamic scaling ansatz which is verified depends on the randomness …

Anomalous dynamic scaling of Ising interfaces

Enrique Rodríguez-Fernández, Silvia N. Santalla, Mario Castro, Rodolfo Cuerno

Abstract Until very recently, the asymptotic occurrence of intrinsic anomalous scaling has been expected to require concomitant effects for kinetically rough interfaces, like quenched disorder or morphological instabilities. However, counterexamples have been recently reported for simpler situations dominated by time-dependent noise, as …

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