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arxiv: 1602.04624 · v1 · pith:K3JHVTNZnew · submitted 2016-02-15 · ❄️ cond-mat.stat-mech · cond-mat.soft

Diffusion of a Brownian ellipsoid in a force field

classification ❄️ cond-mat.stat-mech cond-mat.soft
keywords motionbrownianeffectiveforcelong-termparticleresultsaccordingly
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We calculate the effective long-term convective velocity and dispersive motion of an ellipsoidal Brownian particle in three dimensions when it is subjected to a constant external force. This long-term motion results as a "net" average behavior from the particle rotation and translation on short time scales. Accordingly, we apply a systematic multi-scale technique to derive the effective equations of motion valid on long times. We verify our theoretical results by comparing them to numerical simulations.

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