Effect of temporal and spatial resolution on the apparent diffusion coefficient and mean free path of a Brownian particle
Abstract
We investigate the effect of the temporal and spatial resolution on the apparent motion of a Brownian particle. A set of particle trajectories were resampled at varying time intervals and spatial resolutions. The diffusion coefficients and mean free paths were measured from the resampled data. We find that the apparent diffusion coefficient does not depend on the sampling time, while the apparent mean free path increases with the square root of the sampling time. The apparent diffusion coefficient and mean free path remain constant only in the nanometer range of spatial resolution and deviates from the expected value at larger spatial resolutions.
Downloads
Published
Issue
Section
License
By submitting their manuscript to the Samahang Pisika ng Pilipinas (SPP) for consideration, the Authors warrant that their work is original, does not infringe on existing copyrights, and is not under active consideration for publication elsewhere.
Upon acceptance of their manuscript, the Authors further agree to grant SPP the non-exclusive, worldwide, and royalty-free rights to record, edit, copy, reproduce, publish, distribute, and use all or part of the manuscript for any purpose, in any media now existing or developed in the future, either individually or as part of a collection.
All other associated economic and moral rights as granted by the Intellectual Property Code of the Philippines are maintained by the Authors.
