Effect of temporal and spatial resolution on the apparent diffusion coefficient and mean free path of a Brownian particle

Authors

Norman Mascarinas ⋅ PH National Institute of Physics, University of the Philippines Diliman
Paul Leonard Atchong Hilario ⋅ PH National Institute of Physics, University of the Philippines Diliman
Giovanni Tapang ⋅ PH National Institute of Physics, University of the Philippines Diliman
Caesar Saloma ⋅ PH National Institute of Physics, University of the Philippines Diliman

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

Issue

2012: Proceedings of the 30th Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP2012-PB-3

Section

Poster Session PB

Published

2012-10-22

How to Cite

[1]

N Mascarinas, PLA Hilario, G Tapang, and C Saloma, Effect of temporal and spatial resolution on the apparent diffusion coefficient and mean free path of a Brownian particle, Proceedings of the Samahang Pisika ng Pilipinas 30, SPP2012-PB-3 (2012). URL: https://proceedings.spp-online.org/article/view/SPP2012-PB-3.