Abstract
We propose a method to determine fluctuation-induced forces between intruders inserted in a non-equilibrium fluctuating fluid. The fluctuating fields' modes are modified by the presence of the intruders, leading to an asymmetry of the pressure around the latter, i.e. to a net force. Such a force is an analog of the well-known Casimir force, originally introduced in quantum field theory.
These nonequilibrium fluctuation-induced forces are studied in a reaction-diffusion system with correlations of macroscopic range. In the case of two planar intruders, the force range can be shown to be of the same order of the correlation length. The force between spherical objects is studied using multiple-scattering developments of the Green function. Different regimes are investigated depending on the ratios of the spheres' diameter, their separation and the correlation length.
These forces could be relevant to a better understanding of the stability and/or segregation of some colloidal suspensions in nonequilibrium regimes.
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