Optimal fits of diffusion constants from single-time data points of Brownian trajectories

Boyer, Denis and Dean, David S. and Mejia-Monasterio, Carlos and Oshanin, Gleb (2012). Optimal fits of diffusion constants from single-time data points of Brownian trajectories. "Physical Review E", v. 86 (n. 6); pp.. ISSN 1539-3755. https://doi.org/10.1103/PhysRevE.86.060101.

Description

Title: Optimal fits of diffusion constants from single-time data points of Brownian trajectories
Author/s:
  • Boyer, Denis
  • Dean, David S.
  • Mejia-Monasterio, Carlos
  • Oshanin, Gleb
Item Type: Article
Título de Revista/Publicación: Physical Review E
Date: 20 December 2012
ISSN: 1539-3755
Volume: 86
Subjects:
Faculty: E.T.S.I. Agrónomos (UPM) [antigua denominación]
Department: Ingeniería Rural [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Experimental methods based on single particle tracking (SPT) are being increasingly employed in the physical and biological sciences, where nanoscale objects are visualized with high temporal and spatial resolution. SPT can probe interactions between a particle and its environment but the price to be paid is the absence of ensemble averaging and a consequent lack of statistics. Here we address the benchmark question of how to accurately extract the diffusion constant of one single Brownian trajectory. We analyze a class of estimators based on weighted functionals of the square displacement. For a certain choice of the weight function these functionals provide the true ensemble averaged diffusion coefficient, with a precision that increases with the trajectory resolution.

More information

Item ID: 15618
DC Identifier: http://oa.upm.es/15618/
OAI Identifier: oai:oa.upm.es:15618
DOI: 10.1103/PhysRevE.86.060101
Official URL: http://pre.aps.org/abstract/PRE/v86/i6/e060101
Deposited by: Memoria Investigacion
Deposited on: 20 Jun 2013 14:14
Last Modified: 17 Dec 2018 06:59
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