Dissipative transport in open systems: An investigation of self-organized criticality
- 17 April 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 62 (16) , 1813-1816
- https://doi.org/10.1103/physrevlett.62.1813
Abstract
Motivated by recent models of Bak, Tang, and Wiesenfeld we study dissipative transport in open systems. A simple continuum equation is constructed to describe fluctuations around a steady state in a flowing ‘‘sandpile.’’ The principle of scale invariance and self-similarity is understood in terms of a conservation law in dynamics. A dynamic renormalization-group calculation allows us to determine various critical exponents exactly in all dimensions.Keywords
This publication has 8 references indexed in Scilit:
- Burgers equation with correlated noise: Renormalization-group analysis and applications to directed polymers and interface growthPhysical Review A, 1989
- Relaxation at the Angle of ReposePhysical Review Letters, 1989
- Suppression of Interface Roughness in Driven Nonequilibrium SystemsPhysical Review Letters, 1988
- Critical Exponents and Scaling Relations for Self-Organized Critical PhenomenaPhysical Review Letters, 1988
- Self-organized criticality: An explanation of the 1/fnoisePhysical Review Letters, 1987
- Field theory of long time behaviour in driven diffusive systemsZeitschrift für Physik B Condensed Matter, 1986
- Low-frequency fluctuations in solids:noiseReviews of Modern Physics, 1981
- Theory of dynamic critical phenomenaReviews of Modern Physics, 1977