Exploiting the color of Brownian motion for high-frequency microrheology of Newtonian fluids

Pablo Domínguez-García; Flavio M. Mor; László Forró; Sylvia Jeney

doi:10.1117/12.2024849

12 September 2013 Exploiting the color of Brownian motion for high-frequency microrheology of Newtonian fluids

Pablo Domínguez-García, Flavio M. Mor, László Forró, Sylvia Jeney

Proceedings Volume 8810, Optical Trapping and Optical Micromanipulation X; 881015 (2013) https://doi.org/10.1117/12.2024849
Event: SPIE NanoScience + Engineering, 2013, San Diego, California, United States

Abstract

Einstein’s stochastic description of the random movement of small objects in a ﬂuid, i.e. Brownian motion, reveals to be quite diﬀerent, when observed on short timescales. The limitations of Einstein’s theory with respect to particle inertia and hydrodynamic memory yield to the apparition of a colored frequency-dependent component in the spectrum of the thermal forces, which is called “the color of Brownian motion”. The knowledge of the characteristic timescales of the motion of a trapped microsphere motion in a Newtonian ﬂuid allowed to develop a high-resolution calibration method for optical interferometry. Well-calibrated correlation quantities, such as the mean square displacement or the velocity autocorrelation function, permit to study the mechanical properties of ﬂuids at high frequencies. These properties are estimated by microrheological calculations based on the theoretical relations between the complex mobility of the beads and the rheological properties of a complex ﬂuid.

Citation Download Citation

Pablo Domínguez-García, Flavio M. Mor, László Forró, and Sylvia Jeney "Exploiting the color of Brownian motion for high-frequency microrheology of Newtonian fluids", Proc. SPIE 8810, Optical Trapping and Optical Micromanipulation X, 881015 (12 September 2013); https://doi.org/10.1117/12.2024849

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