Influence of Noise on Force Measurements
arXiv:1004.0874 · doi:10.1103/PhysRevLett.104.170602
Abstract
We demonstrate how the ineluctable presence of thermal noise alters the measurement of forces acting on microscopic and nanoscopic objects. We quantify this effect exemplarily for a Brownian particle near a wall subjected to gravitational and electrostatic forces. Our results demonstrate that the force measurement process is prone to artifacts if the noise is not correctly taken into account.
4 Pages, 4 Figures, Accepted
References in corpus (4)
- State-dependent diffusion: thermodynamic consistency and its path integral formulation
- The Einstein relation generalized to non-equilibrium
- Many-Body Electrostatic Forces Between Colloidal Particles at Vanishing Ionic Strength
- Novel perspectives for the application of total internal reflection microscopy
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