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Rotational Brownian motion of axisymmetric particles in a Maxwell fluid.
Phys Rev E Stat Nonlin Soft Matter Phys 2001; 64(5 Pt 1):051113PR

Abstract

A theory of non-Markovian rotational Brownian motion is developed for axisymmetric particles moving in a Maxwell fluid in the presence of an external field. Both the inertial and viscoelastic effects are taken into account. A kinetic equation for the joint probability distribution of orientation, angular velocity, and acceleration of a particle without spin is derived starting from the rotational Langevin equation with relaxed hydrodynamic and random torques. A third-order stochastic differential equation for the particle orientation vector is also derived. Directly from this equation, the set of nonlinear evolution equations for one-time moments is derived in a noninertial approximation. The expressions for a linear response to a time-dependent external field and dynamic susceptibility of particle are obtained by direct averaging of particle orientation equation. Appendices derive the rotational mobility of axisymmetric particles in a general linear viscoelastic fluid, and the evolution equations for one-time moments of the orientation vector for axisymmetric particles moving in a Maxwell fluid in the presence of an external field.

Authors+Show Affiliations

Department of Polymer Engineering, The University of Akron, Akron, Ohio 44325-0301, USA leonov@uakron.edu.No affiliation info available

Pub Type(s)

Journal Article

Language

eng

PubMed ID

11735906

Citation

Volkov, V S., and A I. Leonov. "Rotational Brownian Motion of Axisymmetric Particles in a Maxwell Fluid." Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 64, no. 5 Pt 1, 2001, p. 051113.
Volkov VS, Leonov AI. Rotational Brownian motion of axisymmetric particles in a Maxwell fluid. Phys Rev E Stat Nonlin Soft Matter Phys. 2001;64(5 Pt 1):051113.
Volkov, V. S., & Leonov, A. I. (2001). Rotational Brownian motion of axisymmetric particles in a Maxwell fluid. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 64(5 Pt 1), p. 051113.
Volkov VS, Leonov AI. Rotational Brownian Motion of Axisymmetric Particles in a Maxwell Fluid. Phys Rev E Stat Nonlin Soft Matter Phys. 2001;64(5 Pt 1):051113. PubMed PMID: 11735906.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Rotational Brownian motion of axisymmetric particles in a Maxwell fluid. AU - Volkov,V S, AU - Leonov,A I, Y1 - 2001/10/24/ PY - 2001/07/16/received PY - 2001/12/12/pubmed PY - 2001/12/12/medline PY - 2001/12/12/entrez SP - 051113 EP - 051113 JF - Physical review. E, Statistical, nonlinear, and soft matter physics JO - Phys Rev E Stat Nonlin Soft Matter Phys VL - 64 IS - 5 Pt 1 N2 - A theory of non-Markovian rotational Brownian motion is developed for axisymmetric particles moving in a Maxwell fluid in the presence of an external field. Both the inertial and viscoelastic effects are taken into account. A kinetic equation for the joint probability distribution of orientation, angular velocity, and acceleration of a particle without spin is derived starting from the rotational Langevin equation with relaxed hydrodynamic and random torques. A third-order stochastic differential equation for the particle orientation vector is also derived. Directly from this equation, the set of nonlinear evolution equations for one-time moments is derived in a noninertial approximation. The expressions for a linear response to a time-dependent external field and dynamic susceptibility of particle are obtained by direct averaging of particle orientation equation. Appendices derive the rotational mobility of axisymmetric particles in a general linear viscoelastic fluid, and the evolution equations for one-time moments of the orientation vector for axisymmetric particles moving in a Maxwell fluid in the presence of an external field. SN - 1539-3755 UR - https://www.unboundmedicine.com/medline/citation/11735906/Rotational_Brownian_motion_of_axisymmetric_particles_in_a_Maxwell_fluid_ DB - PRIME DP - Unbound Medicine ER -
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