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Merlon-type density waves in a compartmentalized conveyor system

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Abstract

Multi-particle flow through a cyclic array of K connected compartments with a preferential direction is known to be able to organize itself in the form of density waves [Kanellopoulos, Van der Meer, and Van der Weele, Phys. Rev. E 92, 022205 (2015)]. In this brief note we focus on the intriguing shape these waves take when K is even, in which case they travel through alternatingly dense and diluted compartments. We call them “merlon waves”, since the sequence of high and low densities is reminiscent of the merlons and crenels on the battlements of medieval castles.

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References

  1. G. Kanellopoulos, D. van der Meer, K. van der Weele, Phys. Rev. E 92, 022205 (2015)

    Article  ADS  Google Scholar 

  2. J. Eggers, Phys. Rev. Lett. 83, 5322 (1999)

    Article  ADS  Google Scholar 

  3. K. van der Weele, G. Kanellopoulos, Ch. Tsiavos, D. van der Meer, Phys. Rev. E 80, 011305 (2009)

    Article  ADS  Google Scholar 

  4. G. Kanellopoulos, K. van der Weele, Int. J. Bif. Chaos 21, 2305 (2011)

    Article  Google Scholar 

  5. G. Kanellopoulos, K. van der Weele, Phys. Rev. E 85, 061303 (2012)

    Article  ADS  Google Scholar 

  6. D. van der Meer, K. van der Weele, D. Lohse, Phys. Rev. E 63, 061304 (2001)

    Article  ADS  Google Scholar 

  7. B.S. Kerner, P. Konhäuser, Phys. Rev. E 50, 54 (1994)

    Article  ADS  Google Scholar 

  8. B.S. Kerner, H. Rehborn, Phys. Rev. E 53, R1297 (1996)

    Article  ADS  Google Scholar 

  9. B.S. Kerner, H. Rehborn, Phys. Rev. E 53, R4275 (1996)

    Article  ADS  Google Scholar 

  10. D. Chowdhury, L. Santen, A. Schadschneider, Phys. Rep. 329, 199 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  11. D. Helbing, Rev. Mod. Phys. 73, 1067 (2001)

    Article  ADS  Google Scholar 

  12. Y. Sugiyama, M. Fukui, M. Kikuchi, K. Hasebe, A. Nakayama, K. Nishinari, S. Tadaki, S. Yukawa, New J. Phys. 10, 033001 (2008)

    Article  ADS  Google Scholar 

  13. K. van der Weele, G. Kanellopoulos, Eur. Phys. J. Special Topics 225, 1127 (2016)

    Google Scholar 

  14. Y.B. Gaididei, R. Berkemer, C. Gorrida, P.L. Christiansen, A. Kawamoto, T. Shiga, M.P. Sørensen, J. Starke, Discrete Contin. Dyn. Syst. Ser. S 4, 1167 (2011)

    Article  MathSciNet  Google Scholar 

  15. J.L. Laugesen, E. Mosekilde, in Biosimulation in Biomedical Research, Health Care and Drug Development, edited by E. Mosekilde, O. Sosnovtseva, A. Rostami-Hodjegan (Springer, New York, 2012), p. 69

  16. N. Rapin, E. Mosekilde, O. Lund, Autoimmunity 44, 256 (2011)

    Article  Google Scholar 

  17. D.M. Keenan, J.D. Veldhuis, Am. J. Physiol. – Endocrinol. Metab. 275, E157 (1998)

    Google Scholar 

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Correspondence to G. Kanellopoulos.

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Kanellopoulos, G., van derWeele, K. Merlon-type density waves in a compartmentalized conveyor system. Eur. Phys. J. Spec. Top. 225, 1211–1218 (2016). https://doi.org/10.1140/epjst/e2016-02666-y

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  • DOI: https://doi.org/10.1140/epjst/e2016-02666-y

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