Retention capacity of correlated surfaces
arXiv:1403.2082 · doi:10.1103/PhysRevE.89.062141
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.
accepted for Phys. Rev. E
References in corpus (8)
- Percolation with long-range correlated disorder
- Watersheds are Schramm-Loewner Evolution curves
- Impact of Perturbations on Watersheds
- Rigorous confidence intervals for critical probabilities
- Percolation in the canonical ensemble
- Corrections to Scaling for Watersheds, Optimal Path Cracks, and Bridge Lines
- The Statistics of the Number of Minima in a Random Energy Landscape
- Partition of Networks into Basins of Attraction