Phase transitions driven by state-dependent poisson noise.


Journal Article

Nonlinear systems driven by state-dependent Poisson noise are introduced to model the persistence of climatic anomalies in land-atmosphere interaction caused by the soil-moisture dependence of the frequency of rainfall events. It is found that these systems may give rise to bimodal probability distributions, while the state variable randomly persists around the preferential states because of transient dynamics that are opposite to the long-term behavior. Mean-field analysis and numerical simulations of the spatially distributed systems reveal a symmetry-breaking bifurcation for sufficiently strong spatial diffusive couplings and intermediate noise intensities. In such conditions, the initial development of spatial patterns is followed by a stable configuration, selected on the bases of the initial conditions in correspondence of the remnants of the modes of the uncoupled system.

Full Text

Duke Authors

Cited Authors

  • Porporato, A; D'Odorico, P

Published Date

  • March 18, 2004

Published In

Volume / Issue

  • 92 / 11

Start / End Page

  • 110601 -

PubMed ID

  • 15089118

Pubmed Central ID

  • 15089118

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/physrevlett.92.110601


  • eng