Free and confined Brownian motion in viscoelastic Stokes-Oldroyd B fluids

Journal of Physics. Condensed Matter : an Institute of Physics Journal
Shuvojit PaulAyan Banerjee

Abstract

We linearize the Stokes-Oldroyd B model for small perturbations and instantaneous hydrodynamic friction to simulate the environment for a free and confined Brownian particle. We use the standard Green's function approach to determine the viscoelasticity, and show that the expression obtained for the frequency dependent viscosity is similar to that given by the Jeffrey's model, though the latter describes viscoelasticity by the bulk storage and loss moduli that is represented by a complex elastic modulus [Formula: see text] of the fluid concerned. In contrast, we consider the characteristics of the polymer chains and the Newtonian solvent of the complex fluid individually, and determine an expression for frequency-dependent viscosity that would be useful for microrheology performed from Brownian trajectories measured in experiments. Finally, we evaluate the trajectory of a free Brownian particle in a viscoelastic environment using our formalism, and calculate various important parameters quantifying Brownian dynamics, which we then extend to the particle confined in a harmonic potential as provided by optical tweezers.

References

Feb 13, 1995·Physical Review Letters·T G Mason, D A Weitz
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Bivash R DasguptaD A Weitz
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·James N Wilking, Thomas G Mason
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R M L EvansThomas A Waigh
Aug 18, 2009·Advances in Colloid and Interface Science·Svetlana R Derkach
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Manlio TassieriJonathan M Cooper
Aug 22, 2012·Medical Principles and Practice : International Journal of the Kuwait University, Health Science Centre·Subramanian S Parvathy, Willias Masocha
Sep 8, 2012·Proceedings of the National Academy of Sciences of the United States of America·Hyeun Bum KimRichard E Isaacson
Oct 17, 2012·PloS One·Alexa A PragmanRichard E Isaacson
Feb 15, 2013·Physical Review Letters·M BrustC Wagner
May 9, 2015·Biophysical Journal·Gaël PradoLionel Bureau
Jun 25, 2016·BMC Biophysics·Yareni A AyalaH Moysés Nussenzveig
Nov 1, 2013·Communications for Statistical Applications and Methods·Ryung S Kim
Nov 14, 2007·Soft Matter·Pietro Cicuta, Athene M Donald

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Citations

Jul 18, 2019·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Shuvojit PaulAyan Banerjee
Feb 15, 2020·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Rahul VaippullyBasudev Roy
Oct 24, 2019·Physical Review. E·Francisco J SevillaJuan Ruben Gomez-Solano
Jan 23, 2021·Scientific Reports·Shuvojit PaulClemens Bechinger
Mar 31, 2021·Physical Review Letters·Brandon R FerrerAlejandro V Arzola

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