42 citations · 71 across the 6 of their papers we have counts for
6 papers
Thermodynamics and Legendre Duality in Optimal Networks
Amilcare Porporato, Shashank Kumar Anand, Salvatore Calabrese +2
Optimality principles in nonequilibrium transport networks are linked to a thermodynamic formalism based on generalized transport potentials endowed with Legendre duality and relat…
Self-similarity and vanishing diffusion in fluvial landscapes
Shashank Kumar Anand, Matteo B. Bertagni, Theodore D. Drivas +1
Complex topographies exhibit universal properties when fluvial erosion dominates landscape evolution over other geomorphological processes. Similarly, we show that the solutions of…
Increased Asymmetry of Pit-Over-Peak Statistics with Landscape Smoothing
Shashank Kumar Anand, Amilcare Porporato
The local extremes (i.e., peaks and pits) of the landscape-elevation field play a critical role in energy, water, and nutrient distribution over the region, but the statistical dis…
A minimalist model for co-evolving supply and drainage networks
Shashank Kumar Anand, Milad Hooshyar, Jan Martin Nordbotten +1
Numerous complex systems, both natural and artificial, are characterized by the presence of intertwined supply and/or drainage networks. Here we present a minimalist model of such…
Variational Analysis of Landscape Elevation and Drainage Networks
Milad Hooshyar, Shashank Kumar Anand, Amilcare Porporato
Landscapes evolve toward surfaces with complex networks of channels and ridges in response to climatic and tectonic forcing. Here we analyze variational principles giving rise to m…
Linear layout of multiple flow-direction networks for landscape-evolution simulations
Shashank Kumar Anand, Milad Hooshyar, Amilcare Porporato
We present an algorithm that is well suited to find the linear layout of the multiple flow-direction network (directed acyclic graph) for an efficient implicit computation of the e…