# "Numerical simulation of Brownian particles in optical force fields"

### Numerical simulation of Brownian particles in optical force fields

**Giorgio Volpe (a), Giovanni Volpe (b)**

(a) Institut Langevin (France)

(b) Bilkent Univ. (Turkey)

An optically trapped Brownian particle is a sensitive probe of molecular and nanoscopic

forces. An understanding of its motion, which is caused by the interplay of random and

deterministic components, can help gain physical insight into the behavior of stochastic

phenomena. However, modeling of realistic stochastic processes typically requires

advanced mathematical tools. Here, we discuss a simple finite difference algorithm to

compute the motion of an optically trapped particle. We then apply it to interpret nanoscale

force and torque measurements, and more complex phenomena, such as Kramers transitions,

stochastic resonant damping, and stochastic resonance.

**Place:** Conference 8810, Optical Trapping and Optical Micromanipulation X

25 - 29 August 2013

San Diego, CA, USA