Particle diffusion via Langevin and Monte Carlo methods
Abstract
We present a calculation of the diffusion constants of particles in a solution obtained from the Langevin equation and Monte Carlo simulation. The constant depends on such parameters as temperature, dynamic viscosity of the solution, particle mass, and particle diameter. When properly calibrated, the two models converge to the analytic solution to the diffusion constant. This could lead to identification of particles in a solution through measurement of their characteristic diffusion constant.
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