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Modeling Diffusion and Coriolis Force with Langevin Dynamics By Paul Lerner.

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1 Modeling Diffusion and Coriolis Force with Langevin Dynamics By Paul Lerner

2 Modeling Diffusion and Coriolis Force with Langevin Dynamics Langevin dynamics used to model particle diffusion. Langevin Dynamics: M*a=F(X)-M*v*γ +sqrt(2*γ*kb*T*M)*R(t) γ=damping constant. Kb=boltzmann constant (set to 1). R(t) is noise term, or random force. So third term is random part of force, second term is friction term. In my code, no particle interaction force. Coriolis Force: Fc=-2*m*ωX v ω has magnitude equal to rotation rate and direction is that of axis of rotation. This project is in 2d, so ω is a constant. Can add this as a force term in ode function. Sources: http://en.wikipedia.org/wiki/Langevin_ dynamics http://en.wikipedia.org/wiki/Langevin_ dynamics http://en.wikipedia.org/wiki/Coriolis_ef fect

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