Segregation of an intruder in a heated granular dense gas

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

Volumn 85, Issue 2, 2012, Pages

  Garzó, Vicente ^a   Reyes, Francisco Vega ^a  

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BRAZIL NUT EFFECT; DENSE GAS; DIRECT SIMULATION MONTE CARLO METHOD; ENSKOG EQUATIONS; GAS PARTICLES; GRANULAR GAS; REVERSE BRAZIL-NUT EFFECT; SOLID VOLUME FRACTION; SONINE APPROXIMATION; TEMPERATURE RATIO; TRANSPORT COEFFICIENT;

COMPUTER SIMULATION; GRANULAR MATERIALS; MONTE CARLO METHODS; PHASE DIAGRAMS;

GASES;

EID: 84857706592     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.021308     Document Type: Article

References (65)

1. A. Kudrolli, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/67/3/R01 67, 209 (2004). (Pubitemid 38550331)
2. I. Goldhirsch and D. Ronis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.27.1616 27, 1616 (1983);
3. I. Goldhirsch and D. Ronis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.27.1635 27, 1635 (1983).
4. See, for instance, K. E. Grew and T. L. Ibbs, Thermal Diffusion in Gases (Cambridge University Press, Cambridge, 1952);
5. K. E. Grew, in Transport Phenomena in Fluids, edited by, H. J. M. Hanley, (Marcel Dekker, New York, 1969), pp. 333-376;
6. G. C. Maitland, M. Rigby, E. B. Smith, and W. A. Wakeham, Intermolecular Forces: Their Origin and Determination (Clarendon, Oxford, 1981).
7. J. Kincaid, E. G. D. Cohen, and M. López de Haro, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.452243 86, 963 (1987).
8. V. Garzó, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.020301 78, 020301 (R) (2008).
9. J. T. Jenkins and D. K. Yoon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.194301 88, 194301 (2002).
10. L. Trujillo, M. Alam, and H. J. Herrmann, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00287-1 64, 190 (2003); (Pubitemid 37306856)
11. M. Alam, L. Trujillo, and H. J. Herrmann, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-006-9078-y 124, 587 (2006). (Pubitemid 44757204)
12. V. Garzó and F. Vega Reyes, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.041303 79, 041303 (2009).
13. V. Garzó, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2009- 10488-4 29, 261 (2009).
14. J. J. Brey, M. J. Ruiz-Montero, and F. Moreno, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.63.061305 63, 061305 (2001).
15. A. Barrat and E. Trizac, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.051303 66, 051303 (2002). (Pubitemid 40618472)
16. J. J. Brey, M. J. Ruiz-Montero, and F. Moreno, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.098001 95, 098001 (2005); (Pubitemid 41505837)
17. J. J. Brey, M. J. Ruiz-Montero, and F. Moreno, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.031301 73, 031301 (2006). (Pubitemid 43320439)
18. D. Serero, I. Goldhirsch, S. H. Noskowicz, and M.-L. Tan, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112006009281 554, 237 (2006);
19. D. Serero, S. H. Noskowicz, M-L. Tan, and I. Goldhirsch, Eur. Phys. J. Special Topics 1951-6355 10.1140/epjst/e2010-01205-4 179, 221 (2009).
20. S. Chapman and T. G. Cowling, The Mathematical Theory of Nonuniform Gases (Cambridge University Press, Cambridge, 1970).
21. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation Monte Carlo of Gas Flows (Clarendon, Oxford, 1994).
22. J. M. Montanero and A. Santos, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.54.438 54, 438 (1996);
23. J. M. Montanero and A. Santos, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869325 9, 2057 (1997).
24. V. Garzó, J. W. Dufty, and C. M. Hrenya, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.031303 76, 031303 (2007). (Pubitemid 47443144)
25. D. R. M. Williams and F. C. MacKintosh, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.54.R9 54, R9 (1996).
26. A. Barrat and E. Trizac, Granular Matter GRMAFE 1434-5021 10.1007/s10035-002-0108-4 4, 57 (2002). (Pubitemid 36156197)
27. T. P. C. van Noije and M. H. Ernst, Granular Matter GRMAFE 1434-5021 10.1007/s100350050009 1, 57 (1998).
28. V. Garzó and A. Santos, Kinetic Theory of Gases in Shear Flows, Nonlinear Transport (Kluwer Academic, Dordrecht, 2003).
29. A. Prevost, D. A. Egolf, and J. S. Urbach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.084301 89, 084301 (2002);
30. A. E. Lobkovsky, F. Vega Reyes, and J. S. Urbach, Eur. Phys. J. Spec. Top. 1951-6355 10.1140/epjst/e2010-01197-y 179, 113 (2009).
31. See, for instance, A. Puglisi, V. Loreto, U. M. B. Marconi, A. Petri, and A. Vulpiani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3848 81, 3848 (1998);
32. T. P. C. van Noije, M. H. Ernst, E. Trizac, and I. Pagonabarraga, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.59.4326 59, 4326 (1999);
33. A. Puglisi, A. Baldassarri, and V. Loreto, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.061305 66, 061305 (2002); (Pubitemid 40605986)
34. A. R. Abate and D. J. Durian, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.031308 74, 031308 (2006); (Pubitemid 44483525)
35. A. Fiege, T. Aspelmeier, and A. Zippelius, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.098001 102, 098001 (2009);
36. A. Sarracino, D. Villamaina, G. Gradenigo, and A. Puglisi, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/92/34001 92, 34001 (2010);
37. W. T. Kranz, M. Sperl, and A. Zippelius, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.225701 104, 225701 (2010);
38. K. Vollmayr-Lee, T. Aspelmeier, and A. Zippelius, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.011301 83, 011301 (2011).
39. V. Garzó, C. M. Hrenya, and J. W. Dufty, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.031304 76, 031304 (2007). (Pubitemid 47443143)
40. J. M. Montanero and V. Garzó, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.021308 67, 021308 (2003);
41. V. Garzó and J. M. Montanero, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.68.041302 68, 041302 (2003).
42. M. López de Haro, E. G. D. Cohen, and J. Kincaid, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.444985 78, 2746 (1983).
43. S. R. Dahl, C. M. Hrenya, V. Garzó, and J. W. Dufty, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.041301 66, 041301 (2002). (Pubitemid 40606174)
44. E. A. Mason, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1740200 22, 169 (1954).
45. V. Garzó and J. M. Montanero, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.69.021301 69, 021301 (2004).
46. J. A. McLennan, Introduction to Nonequilibrium Statistical Mechanics (Prentice-Hall, Englewood Cliffs, NJ, 1989).
47. J. M. Montanero and A. Santos, Granular Matter GRMAFE 1434-5021 10.1007/s100350050035 2, 53 (2000).
48. F. Vega Reyes, A. Santos, and V. Garzó, J. Stat. Mech. 10.1088/1742-5468/2011/07/P07005 (2011) P07005.
49. N. F. Carnahan and K. E. Starling, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1672048 51, 635 (1969).
50. T. Boublik, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1673824 53, 471 (1970);
51. E. W. Grundke and D. Henderson, Mol. Phys. MOPHAM 0026-8976 10.1080/00268977200101431 24, 269 (1972);
52. L. L. Lee and D. Levesque, Mol. Phys. MOPHAM 0026-8976 10.1080/00268977300102531 26, 1351 (1973).
53. V. Garzó, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006- 10143-4 75, 521 (2006). (Pubitemid 44328266)
54. T. M. Reed and K. E. Gubbins, Applied Statistical Mechanics (McGraw-Hill, New York, 1973), Chap. 6.
55. See, for instance, P. Sánchez, M. R. Swift, and P. J. King, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.184302 93, 184302 (2004);
56. T. Schnautz, R. Brito, C. A. Kruelle, and I. Rehberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.028001 95, 028001 (2005). (Pubitemid 41506358)
57. D. C. Hong, P. V. Quinn, and S. Luding, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3423 86, 3423 (2001). (Pubitemid 32380651)
58. A. P. J. Breu, H. M. Ensner, C. A. Kruelle, and I. Rehberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.014302 90, 014302 (2003).
59. V. Garzó, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/13/5/ 055020 13, 055020 (2011).
60. S. Hsiau and M. Hunt, Acta Mech. AMHCAP 0001-5970 10.1007/BF01170399 114, 121 (1996).
61. B. Arnarson and J. T. Willits, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869658 10, 1324 (1998).
62. M. López de Haro and E. G. D. Cohen, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.446463 80, 408 (1984).
63. V. Garzó, A. Santos, and J. M. Montanero, Physica A PHYADX 0378-4371 10.1016/j.physa.2006.10.081 376, 94 (2007); (Pubitemid 46080651)
64. V. Garzó, F. Vega Reyes, and J. M. Montanero, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112008005375 623, 387 (2009).
65. V. Garzó and J. M. Montanero, Physica A PHYADX 0378-4371 10.1016/S0378-4371(02)00994-9 313, 336 (2002).