Force measurement in the presence of Brownian noise : Equilibrium-distribution method versus drift method

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2011
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Brettschneider, Thomas
Volpe, Giovanni
Helden, Laurent
Wehr, Jan
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Physical Review E. 2011, 83(4), 041113. ISSN 1539-3755. eISSN 1550-2376. Available under: doi: 10.1103/PhysRevE.83.041113
Zusammenfassung

The study of microsystems and the development of nanotechnologies require new techniques to measure piconewton and femtonewton forces at microscopic and nanoscopic scales. Amongst the challenges, there is the need to deal with the ineluctable thermal noise, which, in the typical experimental situation of a spatial diffusion gradient, causes a spurious drift. This leads to a correction term when forces are estimated from drift measurements [Phys. Rev. Lett. 104, 170602 (2010)]. Here, we provide a systematic study of such effect comparing the forces acting on various Brownian particles derived from equilibrium distribution and drift measurements. We discuss the physical origin of the correction term, its dependence on wall distance, particle radius, and its relation to the convention used to solve the respective stochastic integrals. Such correction term becomes more significant for smaller particles and is predicted to be in the order of several piconewtons for particles the size of a biomolecule.

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ISO 690BRETTSCHNEIDER, Thomas, Giovanni VOLPE, Laurent HELDEN, Jan WEHR, Clemens BECHINGER, 2011. Force measurement in the presence of Brownian noise : Equilibrium-distribution method versus drift method. In: Physical Review E. 2011, 83(4), 041113. ISSN 1539-3755. eISSN 1550-2376. Available under: doi: 10.1103/PhysRevE.83.041113
BibTex
@article{Brettschneider2011Force-39389,
  year={2011},
  doi={10.1103/PhysRevE.83.041113},
  title={Force measurement in the presence of Brownian noise : Equilibrium-distribution method versus drift method},
  number={4},
  volume={83},
  issn={1539-3755},
  journal={Physical Review E},
  author={Brettschneider, Thomas and Volpe, Giovanni and Helden, Laurent and Wehr, Jan and Bechinger, Clemens},
  note={Article Number: 041113}
}
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