Karhunen-Loeve local characterization of spatiotemporal chaos in a reaction-diffusion system

Journal Article · Mon Jan 31 23:00:00 EST 2000 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.61.1382· OSTI ID:20215465

Meixner, Matthias ^[1]; Zoldi, Scott M ^[1]; Bose, Sumit ^[1]; Schoell, Eckehard ^[1]

---

1. Institut fuer Theoretische Physik, Technische Universitaet Berlin, Hardenbergstrasse 36, D-10623 Berlin, (Germany)

By computing the Karhunen-Loeve decomposition (KLD) correlation length {xi}{sub KLD} of a reaction-diffusion system in the extensive chaos regime, we show that it is a sensitive measure of spatial dynamical inhomogeneities. It reveals substantial spatial nonuniformity of the dynamics at the boundaries and can also detect slow spatial variations in system parameters. The intensive length {xi}{sub KLD} can be easily computed from small local subsystems and is found to have a similar parametric dependence as the two-point correlation length computed over the full system size. (c) 2000 The American Physical Society.

• OSTI ID: 20215465
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 2 Vol. 61; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHARGE TRANSPORT
CHEMICAL REACTIONS
CORRELATION FUNCTIONS
DIFFUSION
STOCHASTIC PROCESSES
THEORETICAL DATA