Nonlinear diffusion limit for a system with nearest neighbor interactions

M. Z. Guo, G. C. Papanicolaou, Srinivasa Varadhan

Research output: Contribution to journalArticle

Abstract

We consider a system of interacting diffusions. The variables are to be thought of as charges at sites indexed by a periodic one-dimensional lattice. The diffusion preserves the total charge and the interaction is of nearest neighbor type. With the appropriate scaling of lattice spacing and time, a nonlinear diffusion equation is derived for the time evolution of the macroscopic charge density.

Original languageEnglish (US)
Pages (from-to)31-59
Number of pages29
JournalCommunications in Mathematical Physics
Volume118
Issue number1
DOIs
StatePublished - Mar 1988

Fingerprint

Diffusion Limit
Nonlinear Diffusion
Nearest Neighbor
Charge
Interaction
Interacting Diffusions
Nonlinear Diffusion Equation
interactions
Spacing
spacing
Scaling
scaling

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Nonlinear diffusion limit for a system with nearest neighbor interactions. / Guo, M. Z.; Papanicolaou, G. C.; Varadhan, Srinivasa.

In: Communications in Mathematical Physics, Vol. 118, No. 1, 03.1988, p. 31-59.

Research output: Contribution to journalArticle

Guo, M. Z. ; Papanicolaou, G. C. ; Varadhan, Srinivasa. / Nonlinear diffusion limit for a system with nearest neighbor interactions. In: Communications in Mathematical Physics. 1988 ; Vol. 118, No. 1. pp. 31-59.
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