Anisotropy-driven dynamics in vibrated granular rods

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 5 1, 2004, Pages

  Volfson, Dmitri ^a   Kudrolli, Arshad ^b   Tsimring, Lev S ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b CLARK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; COMPUTER SIMULATION; KINEMATICS; MATHEMATICAL MODELS; OSCILLATIONS; PLATES (STRUCTURAL COMPONENTS); VELOCITY;

GRANULAR RODS; PLATE ACCELERATION; ROD TILT; THIN RODS;

GRANULAR MATERIALS;

EID: 41349122852     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.051312     Document Type: Article

References (23)

1. M. Huthmann, T. Aspelmeier, and A. Zippelius, Phys. Rev. E 60, 654 (1999).
2. F.X. Villarruel, B.E. Lauderdale, D.M. Mueth, and H.M. Jaeger, Phys. Rev. E 61, 6914 (2000).
3. D.L. Blair, T. Neicu, and A. Kudrolli Phys. Rev. E 67, 031303 (2003).
4. I.S. Aranson and L.S. Tsimring Phys. Rev. E 67, 021305 (2003).
5. M. Magnasco, Phys. Rev. Lett. 71, 1477 (1993); R. D. Astumian and M. Bier, ibid. 72, 1766 (1994); C. R. Doering, W. Horsthemke, and J. Riordan, ibid. 72, 2984 (1994); P. Jung, J. Kissner, and P. Hanggi, ibid. 76, 3436 (1996); I. Derényi and T. Vicsek, ibid. 75, 374 (1995).
6. M. Magnasco, Phys. Rev. Lett. 71, 1477 (1993); R. D. Astumian and M. Bier, ibid. 72, 1766 (1994); C. R. Doering, W. Horsthemke, and J. Riordan, ibid. 72, 2984 (1994); P. Jung, J. Kissner, and P. Hanggi, ibid. 76, 3436 (1996); I. Derényi and T. Vicsek, ibid. 75, 374 (1995).
7. M. Magnasco, Phys. Rev. Lett. 71, 1477 (1993); R. D. Astumian and M. Bier, ibid. 72, 1766 (1994); C. R. Doering, W. Horsthemke, and J. Riordan, ibid. 72, 2984 (1994); P. Jung, J. Kissner, and P. Hanggi, ibid. 76, 3436 (1996); I. Derényi and T. Vicsek, ibid. 75, 374 (1995).
8. M. Magnasco, Phys. Rev. Lett. 71, 1477 (1993); R. D. Astumian and M. Bier, ibid. 72, 1766 (1994); C. R. Doering, W. Horsthemke, and J. Riordan, ibid. 72, 2984 (1994); P. Jung, J. Kissner, and P. Hanggi, ibid. 76, 3436 (1996); I. Derényi and T. Vicsek, ibid. 75, 374 (1995).
9. M. Magnasco, Phys. Rev. Lett. 71, 1477 (1993); R. D. Astumian and M. Bier, ibid. 72, 1766 (1994); C. R. Doering, W. Horsthemke, and J. Riordan, ibid. 72, 2984 (1994); P. Jung, J. Kissner, and P. Hanggi, ibid. 76, 3436 (1996); I. Derényi and T. Vicsek, ibid. 75, 374 (1995).
10. Z. Farkas, P. Tegzes, A. Vukics, and T. Vicsek, Phys. Rev. E 60, 7022 (1999).
11. J.F. Wambaugh, C. Reichhardt, and C.J. Olson Phys. Rev. E 65, 031308 (2002).
12. W.J. Stronge, Proc. R. Soc. London, Ser. A 431, 169 (1990); D. Stoianovici and Y. Hurmuzlu, ASME J. Appl. Mech. 63, 307 (1996).
13. W.J. Stronge, Proc. R. Soc. London, Ser. A 431, 169 (1990); D. Stoianovici and Y. Hurmuzlu, ASME J. Appl. Mech. 63, 307 (1996).
14. D.L. Blair, Ph.D. dissertation, Clark University, 2004.
15. P. A. Cundall and O. D. L. Strack, Geotechnique 29, 47 (1979); J. Schäfer, S. Dippel, and D.E. Wolf, J. Phys. I 6, 5 (1996); H.J. Herrmann and S. Luding, Continuum Mech. Thermodyn. 10, 189 (1998); A. Dziugys and B. Peters, Granular Matter 3, 231 (2001); L. E. Silbert, D. Ertas, G. S. Grest, T. C. Halsey, D. Levine, and S. J. Plimpton, Phys. Rev. E 64, 051302 (2002).
16. P. A. Cundall and O. D. L. Strack, Geotechnique 29, 47 (1979); J. Schäfer, S. Dippel, and D.E. Wolf, J. Phys. I 6, 5 (1996); H.J. Herrmann and S. Luding, Continuum Mech. Thermodyn. 10, 189 (1998); A. Dziugys and B. Peters, Granular Matter 3, 231 (2001); L. E. Silbert, D. Ertas, G. S. Grest, T. C. Halsey, D. Levine, and S. J. Plimpton, Phys. Rev. E 64, 051302 (2002).
17. P. A. Cundall and O. D. L. Strack, Geotechnique 29, 47 (1979); J. Schäfer, S. Dippel, and D.E. Wolf, J. Phys. I 6, 5 (1996); H.J. Herrmann and S. Luding, Continuum Mech. Thermodyn. 10, 189 (1998); A. Dziugys and B. Peters, Granular Matter 3, 231 (2001); L. E. Silbert, D. Ertas, G. S. Grest, T. C. Halsey, D. Levine, and S. J. Plimpton, Phys. Rev. E 64, 051302 (2002).
18. P. A. Cundall and O. D. L. Strack, Geotechnique 29, 47 (1979); J. Schäfer, S. Dippel, and D.E. Wolf, J. Phys. I 6, 5 (1996); H.J. Herrmann and S. Luding, Continuum Mech. Thermodyn. 10, 189 (1998); A. Dziugys and B. Peters, Granular Matter 3, 231 (2001); L. E. Silbert, D. Ertas, G. S. Grest, T. C. Halsey, D. Levine, and S. J. Plimpton, Phys. Rev. E 64, 051302 (2002).
19. P. A. Cundall and O. D. L. Strack, Geotechnique 29, 47 (1979); J. Schäfer, S. Dippel, and D.E. Wolf, J. Phys. I 6, 5 (1996); H.J. Herrmann and S. Luding, Continuum Mech. Thermodyn. 10, 189 (1998); A. Dziugys and B. Peters, Granular Matter 3, 231 (2001); L. E. Silbert, D. Ertas, G. S. Grest, T. C. Halsey, D. Levine, and S. J. Plimpton, Phys. Rev. E 64, 051302 (2002).
20. With this approach the steric exclusion is modeled more accurately than in the case when the rod is approximated by a row of fixed spheres. On the other hand, the most time-taking operation of soft-spheres MD, finding the overlap, is reduced to minimization of the quadratic form (finding the closest point between two segments).
21. 3.
22. Movies of the rods drift in numerical simulations can be found at http://inls.ucsd.edu/grain/rods.
23. M. P. Allen and D. J. Tildesley, Computer Simulations of Liquids (Oxford University Press, Oxford, 1987).