Skip to main content
SpringerLink
Log in

Coefficient of restitution mediated by a diamagnetic interaction

  • Regular Article
  • Published:
The European Physical Journal E Aims and scope Submit manuscript

Abstract.

We study how a magnetic bead bounces onto a horizontal diamagnetic conducting plane. The bead, falling down by gravity from a certain height, produces an Eddy current that creates a repelling force. For low velocities the bead is trapped by the surface, for intermediate ones it escapes. In such a case the induced current changes its sign, and so does the force. The balance between diamagnetic and viscoelastic interactions determines the bouncing dynamics. We find experimentally the restitution coefficient as a function of the impact speed of the bead and develop, taking into account simple energetic considerations, a model able to reproduce our findings.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S. Krijt, C. Güttler, D. Heißelmann, C. Dominik, A.G.G.M. Tielens, J. Phys. D: Appl. Phys. 46, 435303 (2013) and references therein

    Article  ADS  Google Scholar 

  2. P. Müller, T. Pöschel, Phys. Rev. E 84, 021302 (2011)

    Article  ADS  Google Scholar 

  3. H. Hertz, J. Reine Angew. Math. 92, 156 (1882)

    MathSciNet  Google Scholar 

  4. K.L. Johnson, K.L. Kendall, A.D. Roberts, Proc. R. Soc. A 324, 301 (1971)

    Article  ADS  Google Scholar 

  5. K.L. Johnson, Contact Mechanics (Cambridge University Press, Cambridge, 1987)

  6. N. Albers, F. Spahn, Icarus 181, 292 (2006)

    Article  ADS  Google Scholar 

  7. N.V. Brilliantov, N. Albers, F. Spahn, T. Pöschel, Phys. Rev. E 76, 051302 (2007)

    Article  ADS  Google Scholar 

  8. N.V. Brilliantov, F. Spahn, J.-M. Hertzsch, T. Pöschel, Phys. Rev. E 53, 5382 (1996)

    Article  ADS  Google Scholar 

  9. F. Spahn, N. Albers, M. Sremcevic, C. Thorton, Europhys. Lett. 67, 545 (2001)

    Article  ADS  Google Scholar 

  10. T. Schwager, T. Pöschel, Phys. Rev. E 78, 051304 (2008)

    Article  ADS  Google Scholar 

  11. C. Thornton, Z. Ning, Powder Technol. 99, 154 (1998)

    Article  Google Scholar 

  12. N.V. Brilliantov, A.V. Pimenova, D.S. Goldobin, EPL 109, 14005 (2015)

    Article  ADS  Google Scholar 

  13. D.S. Goldobin, E.A. Susloparov, A.V. Pimenova, N.V. Brilliantov, Eur. Phys. J. E 38, 55 (2015)

    Article  Google Scholar 

  14. F.J. Sierra-Valdez, F. Pacheco-Vázquez, O. Carvente, F. Malloggi, J. Cruz-Damas, R. Rechtman, J.C. Ruiz-Suárez, Phys. Rev. E 81, 011301 (2010)

    Article  ADS  Google Scholar 

  15. T.H. Boyer, Am. J. Phys. 56, 688 (1988)

    Article  ADS  Google Scholar 

  16. K.W. Yung, P.B. Landecker, D.D. Villani, Magnetic Electrical Separation 9, 39 (1998)

    Article  Google Scholar 

  17. Y. Kraftmakher, Eur. J. Phys. 28, 409 (2007)

    Article  Google Scholar 

  18. N.V. Brilliantov, T. Pöschel, Collision of Adhesive Viscoelastic Particles, in The Physics of Granular Media, edited by H. Hinrichsen, D. Wolf (Wiley-VCH, Berlin, 2004) p. 189--209

  19. C.M. Sorace, M.Y. Louge, M.D. Crozier, V.H.C. Law, Mech. Research Comm. 36, 364 (2009)

    Article  Google Scholar 

  20. N. Brilliantov, P.L. Krapivsky, A. Bodrova, F. Spahn, H. Hayakawa, V. Stadnichuk, J. Schmidt, Proc. Natl. Acad. Sci. U.S.A. 112, 9536 (2015)

    Article  ADS  Google Scholar 

  21. W.B. Goodwin, I.J. Gomez, Y. Fang, J.C. Meredith, K.H. Sandhage, Chem. Mater. 25, 4529 (2013)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituto Superior de Tecnologías y Ciencias Aplicadas (InSTEC), Salvador Allende esq. Luaces s/n, Plaza de la Revolución CP 10400, POB 6163, La Habana, Cuba

    A. J. Batista-Leyva

  2. CINVESTAV-Monterrey, PIIT, Nuevo, 66600, León, Mexico

    J. C. Ruiz-Suárez

Authors
  1. A. J. Batista-Leyva
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. C. Ruiz-Suárez
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to J. C. Ruiz-Suárez.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Batista-Leyva, A.J., Ruiz-Suárez, J.C. Coefficient of restitution mediated by a diamagnetic interaction. Eur. Phys. J. E 39, 74 (2016). https://doi.org/10.1140/epje/i2016-16074-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epje/i2016-16074-9

Keywords

Search

Navigation