Export citation

Export citation

Choose format for download:

Download Citation
  • Rapid Communication
  • Access by Xinjiang University

Granular Brownian motors: Role of gas anisotropy and inelasticity

Johannes Blaschke and Jürgen Vollmer

  • Max Planck Institute for Dynamics and Self-Organization (MPI DS), 37077 Göttingen, Germany and Faculty of Physics, Georg-August-University Göttingen, 37077 Göttingen, Germany

Phys. Rev. E 87, 040201(R) – Published 3 April, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.040201

Abstract

We investigate the motion of a two-dimensional wedge-shaped object (a granular Brownian motor), which is restricted to move along the x axis and cannot rotate as gas particles collide with it. We show that its steady-state drift, resulting from inelastic gas-motor collisions, is dramatically affected by anisotropy in the velocity distribution of the gas. We identify the dimensionless parameter providing the dependence of this drift on shape, masses, inelasticity, and anisotropy: The anisotropy leads to dramatically enhanced drift of the motor, which should easily be visible in experimental realizations.

Article Text

References (21)

  1. S. Sporer, C. Goll, and K. Mecke, Phys. Rev. E 78, 011917 (2008).
  2. B. Cleuren and C. Van den Broeck, Europhys. Lett. 77, 50003 (2007).
  3. G. Costantini, A. Puglisi, and U. M. B. Marconi, Eur. Phys. J. Spec. Top. 179, 197 (2010).
  4. S. Joubaud, D. Lohse, and D. van der Meer, Phys. Rev. Lett. 108, 210604 (2012).
  5. A. Gnoli, A. Petri, F. Dalton, G. Gradenigo, G. Pontuale, A. Sarracino, and A. Puglisi (unpublished).
  6. G. Costantini, U. M. B. Marconi, and A. Puglisi, Europhys. Lett. 82, 50008 (2008).
  7. P. Meurs, C. Van den Broeck, and A. Garcia, Phys. Rev. E 70, 051109 (2004).
  8. P. Meurs and C. Van den Broeck, J. Phys.: Condens. Matter 17, S3673 (2005).
  9. C. Gruber and J. Piasecki, Physica A 268, 412 (1999).
  10. J. Piasecki and C. Gruber, Physica A 265, 463 (1999).
  11. A. Fruleux, R. Kawai, and K. Sekimoto, Phys. Rev. Lett. 108, 160601 (2012).
  12. J. P. D. Clewett, K. Roeller, R. M. Bowley, S. Herminghaus, and M. R. Swift, Phys. Rev. Lett. 109, 228002 (2012).
  13. K. Roeller, J. P. D. Clewett, R. M. Bowley, S. Herminghaus, and M. R. Swift, Phys. Rev. Lett. 107, 048002 (2011).
  14. P. Eshuis, D. van der Meer, M. Alam, H. J. van Gerner, K. van der Weele, and D. Lohse, Phys. Rev. Lett. 104, 038001 (2010).
  15. P. Eshuis, K. van der Weele, D. van der Meer, and D. Lohse, Phys. Rev. Lett. 95, 258001 (2005).
  16. J. R. Royer, D. Evans, L. Oyarte, Q. Guo, E. Kapit, M. E. Möbius, S. R. Waitukaitis, and H. M. Jaeger, Nature (London) 459, 1110 (2009).
  17. D. van der Meer and P. Reimann, Europhys. Lett. 74, 384 (2007).
  18. H. Risken, The Fokker-Planck Equation: Methods of Solution and Applications (Springer, Berlin, 1989).
  19. A. Puglisi, P. Visco, E. Trizac, and F. van Wijland, Phys. Rev. E 73, 021301 (2006).
  20. J. Piasecki, J. Talbot, and P. Viot, Physica A 373, 313 (2007).
  21. M. Schröter (private communication).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation