Volume 114, Number 3, May 2016
|Number of page(s)||6|
|Published online||01 June 2016|
Diffusion of a Brownian ellipsoid in a force field
1 Department of Computational Biology and Center for Quantum Materials, KTH - Royal Institute of Technology, AlbaNova University Center - SE-106 91 Stockholm, Sweden
2 Departments of Information and Computer Science and Applied Physics, Aalto University - Espoo, Finland
3 Nordita, Royal Institute of Technology and Stockholm University - Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden
4 Aalto Science Institute, School of Science, Aalto University - FI-02150 Espoo, Finland
Received: 12 February 2016
Accepted: 14 May 2016
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.
PACS: 05.40.Jc – Brownian motion / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EPLA, 2016
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