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Brownian Dynamics of a Spherical Particle in a Quadratic Energy Well

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
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We compute the Brownian dynamics trajectory of a spherical particle in a quadratic energy well for decreasing time steps (1, 0.1, 0.01, and 0.001). The spring constant, drag coefficient and diffusivity are all taken equal to 1. We use the explicit Euler Stochastic Differential Equation method. This example was given by Kenneth J. Beers in Numerical Methods for Chemical Engineering, Applications in Matlab, Cambridge University Press, 2007.

*Applied Mathematics
*Applied Mathematics > Numerical Methods
*Engineering > Chemical Engineering
*Science > Chemistry

Brownian dynamics, 1-D trajectory, spherical particle, quadratic energy well
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QEW-BD-NEW1.nb (283 KB) - Mathematica Notebook [for Mathematica 5.2]
QEW-BD-NEW2.nb (91.7 KB) - Mathematica Notebook [for Mathematica 5.2]