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  • 1
    Electronic Resource
    Electronic Resource
    Diffusive behavior of asymmetric zero-range processes (1997)
    Springer
    Journal of statistical physics 87 (1997), S. 577-591 
    Details
    ISSN: 1572-9613
    Keywords: Asymmetric particle systems ; Navier-Stokes corrections ; relative entropy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We investigate a new interpretation for the Navier-Stokes corrections to the hydrodynamic equation of asymmetric interacting particle systems. We consider a system that starts from a measure associated with a profile that is constant along the drift direction. We show that under diffusive scaling the macroscopic behavior of the process is described by a nonlinear parabolic equation whose diffusion coefficient coincides with the diffusion coefficient of the hydrodynamic equation of the symmetric version of the process.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02181237
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  • 2
    Electronic Resource
    Electronic Resource
    Navier–Stokes Limit for a Thermal Stochastic Lattice Gas (1999)
    Springer
    Journal of statistical physics 96 (1999), S. 653-713 
    Details
    ISSN: 1572-9613
    Keywords: stochastic particle systems ; hydrodynamic limit ; Navier–Stokes equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study a stochastic particle system on the lattice whose particles move freely according to a simple exclusion process and change velocities during collisions preserving energy and momentum. In the hydrodynamic limit, under diffusive space-time scaling, the local velocity field u satisfies the incompressible Navier–Stokes equation, while the temperature field θ solves the heat equation with drift u. The results are also extended to include a suitably resealed external force.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1004618924291
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