Layer Features of the Lattice Gas Model for Self-Organized Criticality

Details Layer Features of the Lattice Gas Model for Self-Organized Criticality Layer Features of the Lattice Gas Model for Self-Organized Criticality

1995-10-11

arxiv.org/abs/cond-mat/9510050v1

Physics

Condensed Matter

LaTeX, figures upon request

Scientific paper

10.1103/PhysRevE.53.2099

A layer-by-layer description of the asymmetric lattice gas model for 1/f-noise suggested by Jensen [Phys. Rev. Lett. 64, 3103 (1990)] is presented. The power spectra of the lattice layers in the direction perpendicular to the particle flux is studied in order to understand how the white noise at the input boundary evolves, on the average, into 1/f-noise for the system. The effects of high boundary drive and uniform driving force on the power spectrum of the total number of diffusing particles are considered. In the case of nearest-neighbor particle interactions, high statistics simulation results show that the power spectra of single lattice layers are characterized by different $\beta_x$ exponents such that $\beta_x \to 1.9$ as one approaches the outer boundary.

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