Voronoi neighbor statistics of homogeneously sheared inelastic hard disks and hard spheres

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

Volumn 73, Issue 5, 2006, Pages

  Kumar, V Senthil ^a   Kumaran, V ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; FLUID DYNAMICS; FREEZING; PHASE TRANSITIONS; SHEAR FLOW; TOPOLOGY;

GRANULAR MATTER; INELASTIC HARD DISKS; THERMODYNAMIC SOLID PHASE; VORONOI FACES;

HARD DISK STORAGE;

EID: 33646806498     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.051305     Document Type: Article

References (60)

1. G. Voronoi, J. Reine Angew. Math. JRMAA8 0075-4102 134, 198 (1908).
2. D. C. Rapaport, Mol. Phys. MOPHAM 0026-8976 48, 23 (1983).
3. F. Aurenhammer, ACM Comput. Surv. 0360-0300 23, 345 (1991).
4. A. Okabe, B. Boots, and K. Sugihara, Spatial Tessellations: Concepts and Applications of Voronoi Diagrams (Wiley, New York, 1992).
5. G. Schliecker, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730210140814 51, 1319 (2002).
6. B. N. Boots, Metallography MEIJAP 0026-0800 10.1016/0026-0800(82)90041-6 15, 53 (1982).
7. H. X. Zhu, S. M. Thorpe, and A. H. Windle, Philos. Mag. A PMAADG 0141-8610 10.1080/01418610010032364 81, 2765 (2001).
8. L. Oger, A. Gervois, J. P. Troadec, and N. Rivier, Philos. Mag. B PMABDJ 1364-2812 74, 177 (1996).
9. V. S. Kumar and V. Kumaran, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2000233 123, 074502 (2005).
10. A. W. Lees and S. F. Edwards, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/5/15/006 5, 1921 (1972).
11. C. S. Campbell, J. Fluid Mech. JFLSA7 0022-1120 203, 449 (1989).
12. E. J. Stancik, G. T. Gavranovic, M. J. O. Widenbrant, A. T. Laschitsch, J. Vermant, and G. G. Fuller, Faraday Discuss. FDISE6 0301-7249 10.1039/b204382c 123, 145 (2003).
13. W. D. Callister Jr., Materials Science and Engineering-An Introduction, 5th ed. (Wiley, New York, 2000).
14. A. H. Cottrell, Dislocations and Plastic Flow in Crystals (Clarendon, Oxford, 1953).
15. B. J. Ackerson, J. Rheol. JORHD2 0148-6055 10.1122/1.550096 34, 553 (1990).
16. L. V. Woodcock, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.54. 1513 54, 1513 (1985).
17. S. Butler and P. Harrowell, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.6424 52, 6424 (1995).
18. R. Blaak, S. Auer, D. Frenkel, and H. Lowen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.068303 93, 068303 (2004).
19. J. P. Troadec, A. Gervois, and L. Oger, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1998-00224-x 42, 167 (1998).
20. H. Ikeda, Y. Qi, K. Samwer, W. L. Johnson, and W. A. Goddard III, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.2900 82, 2900 (1999).
21. R. L. Hoffman, Trans. Soc. Rheol. TSRHAZ 0038-0032 10.1122/1.549250 16, 155 (1972).
22. R. L. Hoffman, J. Rheol. JORHD2 0148-6055 10.1122/1.550884 42, 111 (1998).
23. S. B. Savage and D. J. Jeffrey, in Euromech (Oxford University Press, Oxford, 1980), Vol. 133.
24. M. J. Stevens and M. O. Robbins, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.48.3778 48, 3778 (1993).
25. I. Goldhirsch and M. L. Tan, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868951 8, 1752 (1996).
26. S. F. Foerster, M. Y. Louge, H. Chang, and K. Allia, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868282 6, 1108 (1994).
27. C. V. Raman, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.12.442 12, 442 (1918).
28. F. G. Bridges, A. Hatzes, and D. N. C. Lin, Nature (London) NATUAS 0028-0836 10.1038/309333a0 309, 333 (1984).
29. K. L. Johnson, Contact Mechanics (Cambridge University Press, New York, 1985).
30. L. Labous, A. D. Rosato, and R. N. Dave, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.5717 56, 5717 (1997).
31. L. Y. Li, C. Y. Wu, and C. Thornton, J. Mech. Eng. Sci. JMESAL 0022-2542 216C, 421 (2002).
32. H. Hayakawa and H. Kuninaka, Chem. Eng. Sci. CESCAC 0009-2509 10.1016/S0009-2509(01)00382-7 57, 239 (2002).
33. G. Kuwabara and K. Kono, Jpn. J. Appl. Phys., Part 1 JAPNDE 0021-4922 10.1143/JJAP.26.1230 26, 1230 (1987).
34. T. Poschel and T. Schwager, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.5708 80, 5708 (1998).
35. T. Schwager and T. Poschel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.650 57, 650 (1998).
36. S. R. Dahl and C. M. Hrenya, Phys. Fluids PHFLE6 1070-6631 16, 1 (2004).
37. T. Poschel, N. V. Brilliantov, and T. Schwager, Physica A PHYADX 0378-4371 10.1016/S0378-4371(03)00206-1 325, 274 (2003).
38. F. Spahn, U. Schwarz, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.1596 78, 1596 (1997).
39. S. McNamara and E. Falcon, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.031302 71, 031302 (2005).
40. A. Rahman, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1727978 45, 2585 (1966).
41. J. L. Meijering, Philips Res. Rep. PRREA9 0031-7918 8, 270 (1953).
42. R. Collins, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/1/6/301 1, 1461 (1968).
43. B. J. Alder and T. E. Wainwright, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.127.359 127, 359 (1962).
44. M. Alam and C. M. Hrenya, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.061308 63, 061308 (2001).
45. D. Deng, A. S. Argon, and S. Yip, Philos. Trans. R. Soc. London, Ser. A PTRMAD 0962-8428 329, 549 (1989).
46. T. Kanai, T. Sawada, I. Maki, and K. Kitamura, Jpn. J. Appl. Phys., Part 2 JAPLD8 0021-4922 10.1143/JJAP.42.L655 42, L655 (2003).
47. J. Vermant and M. J. Solomon, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/17/4/R02 17, R187 (2005).
48. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon, Oxford, 1992).
49. W. G. Hoover and F. H. Ree, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1670641 49, 3609 (1968).
50. R. B. Fuller, Synergetics - Explorations in the Geometry of Thinking (Macmillan, New York, 1975).
51. N. F. Carnahan and K. E. Starling, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1674033 53, 600 (1970).
52. D. A. Young and B. J. Alder, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.437212 70, 473 (1979).
53. M. Tanemura, Y. Hiwatari, H. Matsuda, T. Ogawa, N. Ogita, and A. Ueda, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.58.1079 58, 1079 (1977).
54. C. S. Hsu and A. Rahman, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.438311 71, 4974 (1979).
55. Z. Nishiyama, Martensitic Transformations (Academic, New York, 1978).
56. A. Sierou and J. F. Brady, J. Rheol. JORHD2 0148-6055 10.1122/1.1501925 46, 1031 (2002).
57. J. L. Finney, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 319, 479 (1970).
58. B. J. Ackerson, J. B. Hayter, N. A. Clark, and L. Cotter, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.450838 84, 2344 (1986).
59. J. Cao and G. Ahmadi, Int. J. Multiphase Flow IJMFBP 0301-9322 10.1016/0301-9322(95)00042-V 21, 1203 (1995).
60. H. A. Barnes, J. Rheol. JORHD2 0148-6055 10.1122/1.550017 33, 329 (1989).