From stochastic processes to the hydrodynamic equations

Christian Beck and Gert Roepstorff

Physica A: Statistical Mechanics and its Applications, 1990, vol. 165, issue 2, 270-278

Abstract: Starting from the Langevin equation for the (rescaled) position of a single particle in an incompressible liquid we derive an infinite hierarchy of hydrodynamic equations for suitably defined conditional expectations. Among them is the continuity equation, the Navier-Stokes equation, and the energy balance equation with Prandtl number Pr=1. Our approach uses a path integral formulation and the Fokker-Planck equation. The results demonstrate how the basic hydrodynamic equations arise from a stochastic independent particle model.

Date: 1990
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719090195X
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:165:y:1990:i:2:p:270-278

DOI: 10.1016/0378-4371(90)90195-X

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().