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Title: Real-time calibration of a feedback trap

Abstract

Feedback traps use closed-loop control to trap or manipulate small particles and molecules in solution. They have been applied to the measurement of physical and chemical properties of particles and to explore fundamental questions in the non-equilibrium statistical mechanics of small systems. These applications have been hampered by drifts in the electric forces used to manipulate the particles. Although the drifts are small for measurements on the order of seconds, they dominate on time scales of minutes or slower. Here, we show that a recursive maximum likelihood (RML) algorithm can allow real-time measurement and control of electric and stochastic forces over time scales of hours. Simulations show that the RML algorithm recovers known parameters accurately. Experimental estimates of diffusion coefficients are also consistent with expected physical properties.

Authors:
; ;  [1]
  1. Department of Physics, Simon Fraser University, Burnaby, British Columbia V5A 1S6 (Canada)
Publication Date:
OSTI Identifier:
22314460
Resource Type:
Journal Article
Journal Name:
Review of Scientific Instruments
Additional Journal Information:
Journal Volume: 85; Journal Issue: 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0034-6748
Country of Publication:
United States
Language:
English
Subject:
46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; ALGORITHMS; CALIBRATION; CHEMICAL PROPERTIES; CLOSED-LOOP CONTROL; DIFFUSION; FEEDBACK; MAXIMUM-LIKELIHOOD FIT; MOLECULES; PARTICLES; PHYSICAL PROPERTIES; REAL TIME SYSTEMS; SOLUTIONS; STATISTICAL MECHANICS; STOCHASTIC PROCESSES; TIME MEASUREMENT; TRAPS

Citation Formats

Gavrilov, Momčilo, Jun, Yonggun, and Bechhoefer, John, E-mail: johnb@sfu.ca. Real-time calibration of a feedback trap. United States: N. p., 2014. Web. doi:10.1063/1.4894383.
Gavrilov, Momčilo, Jun, Yonggun, & Bechhoefer, John, E-mail: johnb@sfu.ca. Real-time calibration of a feedback trap. United States. doi:10.1063/1.4894383.
Gavrilov, Momčilo, Jun, Yonggun, and Bechhoefer, John, E-mail: johnb@sfu.ca. Mon . "Real-time calibration of a feedback trap". United States. doi:10.1063/1.4894383.
@article{osti_22314460,
title = {Real-time calibration of a feedback trap},
author = {Gavrilov, Momčilo and Jun, Yonggun and Bechhoefer, John, E-mail: johnb@sfu.ca},
abstractNote = {Feedback traps use closed-loop control to trap or manipulate small particles and molecules in solution. They have been applied to the measurement of physical and chemical properties of particles and to explore fundamental questions in the non-equilibrium statistical mechanics of small systems. These applications have been hampered by drifts in the electric forces used to manipulate the particles. Although the drifts are small for measurements on the order of seconds, they dominate on time scales of minutes or slower. Here, we show that a recursive maximum likelihood (RML) algorithm can allow real-time measurement and control of electric and stochastic forces over time scales of hours. Simulations show that the RML algorithm recovers known parameters accurately. Experimental estimates of diffusion coefficients are also consistent with expected physical properties.},
doi = {10.1063/1.4894383},
journal = {Review of Scientific Instruments},
issn = {0034-6748},
number = 9,
volume = 85,
place = {United States},
year = {2014},
month = {9}
}