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      Numerical simulation of optically trapped particles

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      Author
      Volpe, G.
      Volpe, Giovanni
      Date
      2014
      Source Title
      Proceedings of SPIE Vol. 9289, 12th Education and Training in Optics and Photonics Conference
      Print ISSN
      0277-786X
      Publisher
      SPIE
      Volume
      9289
      Pages
      1 - 6
      Language
      English
      Type
      Conference Paper
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      Abstract
      Some randomness is present in most phenomena, ranging from biomolecules and nanodevices to financial markets and human organizations. However, it is not easy to gain an intuitive understanding of such stochastic phenomena, because their modeling requires advanced mathematical tools, such as sigma algebras, the Itô formula and martingales. Here, we discuss a simple finite difference algorithm that can be used to gain understanding of such complex physical phenomena. In particular, we simulate the motion of an optically trapped particle that is typically used as a model system in statistical physics and has a wide range of applications in physics and biophysics, for example, to measure nanoscopic forces and torques.
      Keywords
      Brownian motion
      Optical forces
      Stochastic differential equations
      Brownian movement
      Differential equations
      Permalink
      http://hdl.handle.net/11693/27541
      Published Version (Please cite this version)
      http://dx.doi.org/10.1117/12.2070777
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      • Department of Physics 2299
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