Multiplicative jump processes and applications to leaching of salt and contaminants in the soil.


Journal Article

We consider simple systems driven multiplicatively by white shot noise, which appear in the modeling of the dynamics of soil nutrients and contaminants. The dynamics of these systems is analyzed in two ways: solving a hierarchy of linear ordinary differential equations for the moments, which gives a time scale of convergence of the stationary probability density function; and characterizing the crossing properties, such as the mean first-passage time and the mean frequency of level crossing. These results are readily applicable to the study of geophysical systems, such as the problem of accumulation of salt in the root zone, i.e., soil salinization.

Full Text

Duke Authors

Cited Authors

  • Mau, Y; Feng, X; Porporato, A

Published Date

  • November 14, 2014

Published In

Volume / Issue

  • 90 / 5-1

Start / End Page

  • 052128 -

PubMed ID

  • 25493760

Pubmed Central ID

  • 25493760

Electronic International Standard Serial Number (EISSN)

  • 1550-2376

International Standard Serial Number (ISSN)

  • 1539-3755

Digital Object Identifier (DOI)

  • 10.1103/physreve.90.052128


  • eng