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

Yair Mau, Xue Feng, Amilcare Porporato

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number052128
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume90
Issue number5
DOIs
StatePublished - Nov 14 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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