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Hydrodynamic fluctuation forces

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  • Jones, R.B.

Abstract

We consider the fluctuating hydrodynamics of Landau and Lifshitz for a fluid confined by hard walls at finite distance. By considering the non-linearity of the stochastic fluid equations of motion, we show that there can be an inhomogeneous average stress set up throughout the fluid. The average stress corresponds to a force density on the fluid which is expressed in terms of the Green's function for the fluid in the linearized theory. For simple geometries we obtain the average stress explicitly as a long range pressure field. The effect can be interpreted as a long range effective force acting between the fluid boundaries. In this sense it might have observable consequences in thin films or in suspensions of hard colloid particles. The effect is strongest in incompressible fluids. It is greatly weakened by compressibility but relaxation of the fluid viscosity prevents the effect vanishing.

Suggested Citation

  • Jones, R.B., 1981. "Hydrodynamic fluctuation forces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 105(3), pages 395-416.
    • Handle: RePEc:eee:phsmap:v:105:y:1981:i:3:p:395-416
    DOI: 10.1016/0378-4371(81)90103-5
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