论文信息 - Thermodynamics and Hydrodynamics for a Modeled Fluid

Thermodynamics and Hydrodynamics for a Modeled Fluid

This article presents a general study of a two‐dimensional fluid model with microscopic discrete velocities. The rather unusual properties of this model lead to precise thermodynamical laws. The Navier‐Stokes hydrodynamical equations are obtained, which contain a transport coefficient given by a Green‐Kubo integral, and it is shown that this integral does not converge for a reason common to all two‐dimensional fluids.

Y. Pomeau | J. Hardy

[1] J. W. Gibbs,et al. Scientific Papers , 1997, Nature.

[2] Two‐Stream Instability in a Cold Inhomogeneous Plasma in a Strong Magnetic Field , 1964 .

[3] R. Zwanzig,et al. Time-Correlation Functions and Transport Coefficients in Statistical Mechanics , 1965 .

[4] S. Harris. Approach to Equilibrium in a Moderately Dense Discrete Velocity Gas , 1966 .

[5] J. Hopfield,et al. New Approach to Transport Theory in Classical Gases , 1968 .

[6] J. M. J. van Leeuwen,et al. Asymptotic Time Behavior of Correlation Functions , 1970 .

[7] B. Alder,et al. Studies in Molecular Dynamics. VIII. The Transport Coefficients for a Hard-Sphere Fluid , 1970 .