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Statistical approach to the kinetics of nonuniform fluids

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  • Biel, Jesús
  • Marro, Joaquín

Abstract

We present a new formalism in Fourier space for the study of spatially nonuniform fluids in nonequilibrium states which generalizes previous work on uniform fluids. Starting from the Liouville equation we obtain a hierarchy of equations for the reduced distribution functions which gives their rate of change at any given order of the system mean density as a sum of a finite number of terms. Using a finite-ranged repulsive interaction potential we derive, as a first application of the formalism, the Boltzmann integrodifferential equation for an infinite system which is initially in a “weakly” inhomogeneous state. This is accomplished introducing an initial statistical assumption, namely initial molecular chaos; this condition is seen to hold during the time evolution described by the resulting kinetic equation.

Suggested Citation

  • Biel, Jesús & Marro, Joaquín, 1978. "Statistical approach to the kinetics of nonuniform fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 94(2), pages 297-320.
    • Handle: RePEc:eee:phsmap:v:94:y:1978:i:2:p:297-320
    DOI: 10.1016/0378-4371(78)90101-2
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    Cited by:

    1. Gaveau, B. & Moreau, M. & Piasecki, J., 1997. "Correlated motion of two particles in a dense fluid of hard rods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 237(1), pages 189-204.

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