3 papers
cond-mat.stat-mech2024
Unified theory for the scaling of the crossover between strong and weak disorder behaviors of optimal paths and directed/undirected polymers in disordered media
Daniel Villarrubia-Moreno, Pedro Córdoba-Torres
In this work we are concerned with the crossover between strong disorder (SD) and weak disorder (WD) behaviors in three well-known problems that involve minimal paths: directed pol…
cond-mat.stat-mech2019
First-Passage Percolation under extreme disorder: from bond-percolation to Kardar-Parisi-Zhang universality
Daniel Villarrubia, Iván Álvarez Domenech, Silvia N. Santalla +2
We consider the statistical properties of arrival times and balls on first-passage percolation (FPP) square lattices with strong disorder in the link-times. A previous work sh…
cond-mat.stat-mech2018
Kardar-Parisi-Zhang Universality in First-Passage Percolation: the Role of Geodesic Degeneracy
Pedro Córdoba-Torres, Silvia N. Santalla, Rodolfo Cuerno +1
We have characterized the scaling behavior of the first-passage percolation (FPP) model on two types of discrete networks, the regular square lattice and the disordered Delaunay la…