Abstract
An equation of evolution for a heavy particle immersed in a solvent of lighter particles is derived for the case when the system suffers gradients of temperature composition, or velocity. The derivation unifies the theory by applying the same methods which have proved useful in the uniform case. The final equation contains some new terms due to concentration gradients in the solvent, and is applicable to the case when the heavy particles are present at finite concentration and interact with each other.
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This work, part of research supported by NSF Grant GP-8497, was done under the tenure of a National Science Foundation Senior Postdoctoral Fellowship and a sabbatical leave from the University of Oregon.
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Mazo, R.M. On the theory of Brownian motion. II. Nonuniform systems. J Stat Phys 1, 101–106 (1969). https://doi.org/10.1007/BF01007244
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DOI: https://doi.org/10.1007/BF01007244