Abstract
The Landau-Lifschitz fluctuating hydrodynamics formalism is applied to study the statistical properties of simple fluids in a finite system under nonequilibrium constraints. The boundary conditions are explicitly taken into account so that the results can be compared with particle simulations. Two scenarios are investigated: a fluid subjected to a constant shear and a fluid subjected to a constant temperature gradient. By considering a fluid with vanishing thermal expansivity, exact results are obtained for the static and dynamic correlation functions.
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Malek Mansour, M., Turner, J.W. & Garcia, A.L. Correlation functions for simple fluids in a finite system under nonequilibrium constraints. J Stat Phys 48, 1157–1186 (1987). https://doi.org/10.1007/BF01009539
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DOI: https://doi.org/10.1007/BF01009539