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Algebraic decay of velocity fluctuations in a confined fluid
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Computer simulations of a colloidal particle suspended in a fluid confined by rigid walls show that, at long times, the velocity correlation function decays with a negative algebraic tail. The exponent depends on the confining geometry, rather than the spatial dimensionality. We can account for the tail by using a simple mode-coupling theory which exploits the fact that the sound wave generated by a moving particle becomes diffusive.
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HAGEN, M. H. J., et al. Algebraic decay of velocity fluctuations in a confined fluid. Physical Review Letters. 1997. Vol. 78, num. 19, pags. 3785-3789. ISSN 0031-9007. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/13209