Crossover scaling in Scheidegger’s river-network model

Crossover scaling in two dimensions

We determine the scaling functions describing the crossover from Ising-like critical behavior to classical critical behavior in two-dimensional systems with a variable interaction range. Since this crossover spans several decades in the reduced temperature as well as in the finite-size crossover variable, it has up to now largely evaded a satisfactory numerical determination. Using a dedicated ...

Scaling in a Multispecies Network Model Ecosystem

A new model ecosystem consisting of many interacting species is introduced. The species are connected through a random matrix with a given connectivity Cπ. It is shown that the system is organized close to a boundary of marginal stability in such a way that fluctuations follow power law distributions both in species abundance and their lifetimes for some slow-driving (immigration) regime. The c...

Corrosion and scaling in Bandar Abbas Pipe water network

Introduction: Scaling and corrosion is one the most important indices in water quality evaluation. Occurrence of scaling or corrosion may create disorder in economy of water and wastewater industry. In addition, corrosion produces by - products in water leading to health problem and reduction of water pipe life-time. In this study, the condition of scaling and corrosion in Bandar Abbas wa...

Inhomogeneous sandpile model: Crossover from multifractal scaling to finite-size scaling.

We study an inhomogeneous sandpile model in which two different toppling rules are defined. For any site only one rule is applied corresponding to either the Bak, Tang, and Wiesenfeld model [P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987)] or the Manna two-state sandpile model [S. S. Manna, J. Phys. A 24, L363 (1991)]. A parameter c is introduced which describes a density of...

A Simple Model for River Network Evolution