3 papers
cond-mat.stat-mech2026
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…
cond-mat.stat-mech2026
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…
cond-mat.stat-mech2026
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…