title: Retention capacity of correlated surfaces.
abstract: We extend the water retention model [C. L. Knecht et al., Phys. Rev. Lett. 108, 045703 (2012)] to correlated random surfaces. We find that the retention capacity of discrete random landscapes is strongly affected by spatial correlations among the heights. This phenomenon is related to the emergence of power-law scaling in the lake volume distribution. We also solve the uncorrelated case exactly for a small lattice and present bounds on the retention of uncorrelated landscapes.
authors.affiliation: Computational Physics for Engineering Materials, IfB, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093, Zurich, Switzerland.
authors.forename: K J
authors.initials: KJ
authors.lastname: Schrenk
authors.affiliation: Computational Physics for Engineering Materials, IfB, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093, Zurich, Switzerland.
authors.forename: N A M
authors.initials: NA
authors.lastname: Araújo
authors.affiliation: Center for the Study of Complex Systems and Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109-2136, USA.
authors.forename: R M
authors.initials: RM
authors.lastname: Ziff
authors.affiliation: Computational Physics for Engineering Materials, IfB, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093, Zurich, Switzerland and Departamento de Física, Universidade Federal do Ceará, 60451-970, Fortaleza, Ceará, Brazil.
authors.forename: H J
authors.initials: HJ
authors.lastname: Herrmann
mesh_terms: D008962:Models, Theoretical; D013499:Surface Properties; D014867:Water
chemical_list: D014867:Water