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Free and confined Brownian motion in viscoelastic Stokes-Oldroyd B fluids.
J Phys Condens Matter 2018; 30(34):345101JP

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.

Authors+Show Affiliations

Indian Institute of Science Education and Research, Kolkata, India.No affiliation info availableNo affiliation info available

Pub Type(s)

Journal Article

Language

eng

PubMed ID

30019694

Citation

Paul, Shuvojit, et al. "Free and Confined Brownian Motion in Viscoelastic Stokes-Oldroyd B Fluids." Journal of Physics. Condensed Matter : an Institute of Physics Journal, vol. 30, no. 34, 2018, p. 345101.
Paul S, Roy B, Banerjee A. Free and confined Brownian motion in viscoelastic Stokes-Oldroyd B fluids. J Phys Condens Matter. 2018;30(34):345101.
Paul, S., Roy, B., & Banerjee, A. (2018). Free and confined Brownian motion in viscoelastic Stokes-Oldroyd B fluids. Journal of Physics. Condensed Matter : an Institute of Physics Journal, 30(34), p. 345101. doi:10.1088/1361-648X/aad421.
Paul S, Roy B, Banerjee A. Free and Confined Brownian Motion in Viscoelastic Stokes-Oldroyd B Fluids. J Phys Condens Matter. 2018 Aug 30;30(34):345101. PubMed PMID: 30019694.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Free and confined Brownian motion in viscoelastic Stokes-Oldroyd B fluids. AU - Paul,Shuvojit, AU - Roy,Basudev, AU - Banerjee,Ayan, Y1 - 2018/07/18/ PY - 2018/7/19/pubmed PY - 2018/7/19/medline PY - 2018/7/19/entrez SP - 345101 EP - 345101 JF - Journal of physics. Condensed matter : an Institute of Physics journal JO - J Phys Condens Matter VL - 30 IS - 34 N2 - 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. SN - 1361-648X UR - https://www.unboundmedicine.com/medline/citation/30019694/Free_and_confined_Brownian_motion_in_viscoelastic_Stokes_Oldroyd_B_fluids_ L2 - https://doi.org/10.1088/1361-648X/aad421 DB - PRIME DP - Unbound Medicine ER -