Work

Two-component Abelian sandpile models

Year: 2009

Type: article

Abstract: In one-component Abelian sandpile models, the toppling probabilities are independent quantities. This is not the case in multicomponent models. The condition of associativity of the underlying Abelian algebras imposes nonlinear relations among the toppling probabilities. These relations are derived for the case of two-component quadratic Abelian algebras. We show that Abelian sandpile models with two conservation laws have only trivial avalanches.

Source: Physical Review E

DOI: 10.1103/physreve.79.042102

Authors: F. C. Alcaraz, P. Pyatov, V. Rittenberg

Institutions: Consejo Superior de Investigaciones Científicas, Universidade de São Paulo, Instituto de Física Teórica, Instituto de Física de São Carlos, Universidad Autónoma de Madrid, Joint Institute for Nuclear Research, University of Bonn

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Deutsche Forschungsgemeinschaft

OpenAlex ID: W2037214993

FWCI:

Cites: 9

Cited by: 6

Related to: 10