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On the derivation of the incompressible Mavier-Stokes equation for Hamiltonian particle systems (1994)

Esposito, R. ; Marra, R.

Springer

Journal of statistical physics 74 (1994), S. 981-1004

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ISSN: 1572-9613

Keywords: Hydrodynamic limit ; incompressible Navier-Stokes equations ; particle systems

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract We consider a Hamiltonian paticle system interacting by means of a pair potetial. We look at the behavior of the system on a space scale of order ε-1, times of order ε-2 and mean velocities of order ε, with ε a scale parameter. Assuming that the phase space density of the particles is give by a series in ε (the analog of the Chapman-Enskog expansion), the behavior of the system under this rescaling is described, to the lowest order in ε, by the incompressible Navier-Stokes equations. The viscosity is given in terms of microscopic correlations, and its expression agrees with the Green-Kubo formula.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02188213

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