515 citations · 590 across the 15 of their papers we have counts for
15 papers
Discrete Lattice Models for Interface Growth on a Complete Graph
J. M. Marcos, J. J. Meléndez, R. Cuerno +1
We investigate the behavior of discrete interface growth models belonging to the Edwards--Wilkinson (EW) and Kardar--Parisi--Zhang (KPZ) universality classes, when defined on a com…
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-P…
On the upper critical dimension of the KPZ universality class: KPZ and related equations on a fully connected graph
J. M. Marcos, J. J. Meléndez, R. Cuerno +1
We investigate the infinite-dimensional limit of nonequilibrium surface growth by numerically integrating stochastic growth equations on a fully connected graph. In particular, we…
Exponents and front fluctuations in the quenched Kardar-Parisi-Zhang universality class of one- and two- dimensional interfaces
Ángela Tajuelo-Valbuena, Jara Trujillo-Mulero, Juan J. Meléndez +2
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 th…
Universality Classes with Strong Coupling in Conserved Surface Roughening: Explicit vs Emergent Symmetries
Pedro Gatón-Pérez, Enrique Rodriguez-Fernandez, 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…
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 non-conserved (or model A) critical dynamics of the two-dimensional Ising model through numerical simulations of its lattice and continuum formulations --Glau…
Numerical Integration of the KPZ and Related Equations on Networks: The Case of the Cayley Tree
J. M. Marcos, J. J. Meléndez, R. Cuerno +1
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 of th…
Influence of coupling symmetries and noise on the critical dynamics of synchronizing oscillator lattices
Ricardo Gutierrez, 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 stud…
Microscopic fluctuations in the spreading fronts of circular wetting liquid droplets
J. M. Marcos, J. J. Melendez, R. Cuerno +1
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…
Kardar-Parisi-Zhang universality class in the synchronization of oscillator lattices with time-dependent noise
Ricardo Gutierrez, Rodolfo Cuerno
Systems of oscillators subject to time-dependent noise typically achieve synchronization for long times when their mutual coupling is sufficiently strong. The dynamical process whe…
Universal fluctuations of global geometrical measurements in planar clusters
Silvia N. Santalla, Iván Álvarez Domenech, Daniel Villarrubia +2
We characterize universal features of the sample-to-sample fluctuations of global geometrical observables, such as the area, width, length, and center-of-mass position, in random g…
Shape effects in the fluctuations of random isochrones on a square lattice
Iván Álvarez Domenech, Javier Rodríguez-Laguna, Rodolfo Cuerno +2
We consider the isochrone curves in first-passage percolation on a 2D square lattice, i.e. the boundary of the set of points which can be reached in less than a given time from a c…
Anomalous dynamic scaling of Ising interfaces
E. Rodriguez-Fernandez, S. N. Santalla, M. Castro +1
Until very recently, the asymptotic occurrence of intrinsic anomalous scaling has been expected to require concomitant effects for kinetically rough interfaces, like quenched disor…
Renormalization Group Analysis of a Noisy Kuramoto-Sivashinsky Equation
Rodolfo Cuerno, Kent Baekgaard Lauritsen
We have analyzed the Kuramoto-Sivashinsky equation with a stochastic noise term through a dynamic renormalization group calculation. For a system in which the lattice spacing is sm…
Dynamic Scaling of Ion-Sputtered Surfaces
Rodolfo Cuerno, Albert-Laszlo Barabasi
We derive a stochastic nonlinear equation to describe the evolution and scaling properties of surfaces eroded by ion bombardment. The coefficients appearing in the equation can be…