9 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…
Exponents and front fluctuations in the quenched Kardar-Parisi-Zhang universality class of one- and two- dimensional interfaces
Ãngela 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…
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…
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…
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…