Abstract
Interface equations are derived for both binary diffusive and binary fluid systems subjected to nonequilibrium conditions, starting from coarse-grained (mesoscopic) models. The equations are used to describe thermocapillary motion of a droplet in both purely diffusive and fluid cases, and the results are compared with numerical simulations. A mesoscopic chemical potential shift owing to the temperature gradient, and associated mesoscopic corrections involved in droplet motion, are elucidated.
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If the droplet were moving steadily as a solid object, the interface velocity would vanish in the CM frame, i.e., the rest frame of the droplet. Then would havev n =V cos(θ) andv t = −V sin(θ).
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Bhagavatula, R., Jasnow, D. & Ohta, T. Nonequilibrium interface equations: An application to thermocapillary motion in binary systems. J Stat Phys 88, 1013–1031 (1997). https://doi.org/10.1007/BF02732424
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DOI: https://doi.org/10.1007/BF02732424