Reply to Comment on "Influence of Noise on Force Measurements" [1012.5371]
Giovanni Volpe, Laurent Helden, Thomas Brettschneider, Jan, Wehr, Clemens Bechinger
TL;DR
This paper experimentally confirms that the anti-Ito interpretation correctly describes force measurements in noisy Brownian systems, resolving the Ito-Stratonovich dilemma and aligning different measurement approaches.
Contribution
It provides experimental evidence favoring the anti-Ito convention for interpreting multiplicative noise in Brownian motion, clarifying measurement discrepancies.
Findings
Anti-Ito convention is correct for Brownian particles
Reconciliation of force measurements from equilibrium and drift velocity
Experimental validation of noise interpretation in diffusion gradients
Abstract
Having a priori knowledge of the force acting on a noisy system it is possible to solve the issue relative to the interpretation of multiplicative noise terms (aka Ito-Stratonovich dilemma). We experimentally show that for a Brownian particle the anti-Ito convention is correct. This permits us to reconcile force measurements based on the equilibrium distribution and on the drift velocity of a Brownian particle in a diffusion gradient.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Complex Systems and Time Series Analysis · Radioactive Decay and Measurement Techniques