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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
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…
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…