eprintid: 15618 rev_number: 16 eprint_status: archive userid: 1903 dir: disk0/00/01/56/18 datestamp: 2013-06-20 14:14:48 lastmod: 2018-12-17 06:59:40 status_changed: 2018-12-17 06:59:40 type: article metadata_visibility: show item_issues_count: 0 creators_name: Boyer, Denis creators_name: Dean, David S. creators_name: Mejia-Monasterio, Carlos creators_name: Oshanin, Gleb title: Optimal fits of diffusion constants from single-time data points of Brownian trajectories rights: by-nc-nd ispublished: pub subjects: fisica full_text_status: public 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. date_type: published date: 2012-12-20 publication: Physical Review E volume: 86 number: 6 pagerange: 060101-1 id_number: 10.1103/PhysRevE.86.060101 institution: Agronomos department: Ingenieria_Rural refereed: TRUE issn: 1539-3755 official_url: http://pre.aps.org/abstract/PRE/v86/i6/e060101 citation: 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 . document_url: http://oa.upm.es/15618/1/INVE_MEM_2012_129767.pdf