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Inertial effects in Brownian motion of a trapped particle in shear flow

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  • Rzehak, R.
  • Zimmermann, W.

Abstract

The Brownian motion of a bound particle in shear flow is a basic problem in colloid and polymer science. Since the flow has a rotational component, the description cannot be cast in the usual equilibrium statistical mechanics framework of particle motion in a potential well. Instead, the property of local equilibrium may be exploited which necessitates the inclusion of the particle's inertia. Accordingly, a fluctuation dissipation relation is derived which contains a correction due to the interplay between particle inertia and shear flow. The result shows that at very high shear rates, local equilibrium cannot prevail. Having established the relation between drift and diffusion matrices the full stochastic description of the particle dynamics in phase space is obtained from the Langevin equation. Possibilities to measure the predicted inertia effects and implications for computer simulations of complex fluids in shear flows are discussed.

Suggested Citation

  • Rzehak, R. & Zimmermann, W., 2003. "Inertial effects in Brownian motion of a trapped particle in shear flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(3), pages 495-508.
    • Handle: RePEc:eee:phsmap:v:324:y:2003:i:3:p:495-508
    DOI: 10.1016/S0378-4371(03)00058-X
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    References listed on IDEAS

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    1. Stephen R. Quake & Hazen Babcock & Steven Chu, 1997. "The dynamics of partially extended single molecules of DNA," Nature, Nature, vol. 388(6638), pages 151-154, July.
    2. San Miguel, M. & Sancho, J.M., 1979. "Brownian motion in shear flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 357-364.
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    Cited by:

    1. Zhang, Ruoqi & Meng, Lin & Yu, Lei & Shi, Sihong & Wang, Huiqi, 2024. "Collective dynamics of fluctuating–damping coupled oscillators in network structures: Stability, synchronism, and resonant behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).

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