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Hydrodynamic interactions and some new periodic structures in three particle sediments

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  • Snook, I.K.
  • Briggs, K.M.
  • Smith, E.R.

Abstract

It is well known that the motion of three particles sedimenting in a Stokes fluid is of a simple periodic function of time if the initial configuration is a horizontal, equilateral triangle. We use the method of induced forces to show that if this ititial configuration is made less symmetric then many much more complex structures, which are still periodic in time, may result which involve a sequence of inequivalent configurations. This confirms that the horizontal isosceles triangle configuration is remarkably robust against perturbations.

Suggested Citation

  • Snook, I.K. & Briggs, K.M. & Smith, E.R., 1997. "Hydrodynamic interactions and some new periodic structures in three particle sediments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 240(3), pages 547-559.
    • Handle: RePEc:eee:phsmap:v:240:y:1997:i:3:p:547-559
    DOI: 10.1016/S0378-4371(97)00164-7
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    References listed on IDEAS

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    1. Weinbaum, Marvin G., 1978. "Iran's Foreign Policy 1941–1973: A Study of Foreign Policy in Modernizing Nations. By Rouhallah K. Ramazani. (Charlottesville: University Press of Virginia, 1975. Pp. 507. $20.00.)," American Political Science Review, Cambridge University Press, vol. 72(2), pages 759-760, June.
    2. Irving Pfeffer, 1988. "The IRS v. the Captive Insurance Industry: A Problem in Insurance Economics," Journal of Insurance Issues, Western Risk and Insurance Association, vol. 11(1), pages 1-10.
    3. Smith, E.R. & Snook, I.K. & Van Megen, W., 1987. "Hydrodynamic interactions in Brownian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 143(3), pages 441-467.
    4. Roger Hayter & Jerry Patchell, 1993. "Different Trajectories in the Social Divisions of Labour: The Cutlery Industry in Sheffield, England, and Tsubame, Japan," Urban Studies, Urban Studies Journal Limited, vol. 30(8), pages 1427-1445, October.
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