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- W2892179042 abstract "We show how the Smoluchowski dynamics of a colloidal Brownian particle suspended in a molecular solvent can be reached starting from the microscopic Liouvillian evolution of the full classical model in the high friction limit. The integration of the solvent degrees of freedom goes through a multiple time scale perturbation expansion which removes the secular divergences. A simple dynamical Monte Carlo scheme is then proposed to solve the resulting evolution equation for the colloid solute particle. In particular we study the approach to the equilibrium Boltzmann distribution at late times and its resilience behavior at shorter times as influenced by the steepness of the external potential and the friction coefficient around their respective minima. This is very important to understand the fate of the Brownian particle's random walk and its evolution history." @default.
- W2892179042 created "2018-09-27" @default.
- W2892179042 creator A5001668863 @default.
- W2892179042 date "2019-02-01" @default.
- W2892179042 modified "2023-09-27" @default.
- W2892179042 title "From the Liouville to the Smoluchowski equation for a colloidal solute particle in a solvent" @default.
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- W2892179042 doi "https://doi.org/10.1016/j.physa.2018.09.107" @default.
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