Depinning and creeplike motion of wetting fronts in weakly vibrated granular media

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

Volumn 85, Issue 3, 2012, Pages

  Balankin, Alexander S ^a   Garcia Otamendi E ^a   Samayoa, D ^a   Patino J ^a   Rodriguez M A ^b  

^a INSTITUTO POLITÉCNICO NACIONAL   (Mexico)

^b INSTITUTO DE FÍSICA DE CANTABRIA CSIC UC   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTANT VELOCITIES; CREEP MOTION; DEPINNING; FRONT MOTION; FRONT VELOCITY; GRANULAR MEDIA; GRANULAR MEDIUM; GRAVITATIONAL ACCELERATIONS; NONTHERMAL; PACKING DENSITY; STEADY MOTION; TEMPORAL FLUCTUATION; VERTICAL VIBRATIONS; WETTING FRONTS;

WETTING;

GRANULAR MATERIALS;

EID: 84859069139     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.036313     Document Type: Article

References (103)

1. M. Alava, M. Dubé, and M. Rost, Adv. Phys. 0001-8732 10.1080/00018730410001687363 53, 83 (2004).
2. Th. Delker, D. B. Pengra, and P. Wong, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.76.2902 76, 2902 (1996).
3. M. Dubé, M. Rost, and M. Alava, Eur. Phys. J. B 76, 691 (2000).
4. Ch.-H. Lam and V. K. Horváth, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.85.1238 85, 1238 (2000);
5. D. Geromichalos, F. Mugele, and St. Herminghaus, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.89.104503 89, 104503 (2002);
6. S. Supple and N. Quirke, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett. 90.214501 90, 214501 (2003);
7. Y. Mélean, D. Broseta, A. Hasmy, and R. Blossey, Europhys. Lett. 0295-5075 10.1209/epl/i2003-00380-5 62, 505 (2003). (Pubitemid 36630144)
8. Y. Méheust, G. Løvoll, K. J. Måløy, and J. Schmittbuhl, Phys. Rev. E 1539-3755 10.1103/PhysRevE.66.051603 66, 051603 (2002). (Pubitemid 40618484)
9. A. S. Balankin, A. Bravo-Ortega, and D. Morales, Philos. Mag. Lett. 0950-0839 10.1080/09500830050057215 80, 503 (2000); (Pubitemid 34593896)
10. A. S. Balankin, O. Susarrey, and J. M. Gonzáles, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.096101 90, 096101 (2003);
11. E. N. de Azevedo, L. R. Alme, M. Engelsberg, J. O. Fossum, and P. Dommersnes, Phys. Rev. E 1539-3755 10.1103/PhysRevE.78.066317 78, 066317 (2008);
12. A. M. Miranda, I. L. Menezes-Sobrinho, and M. S. Couto, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.104.086101 104, 086101 (2010).
13. M. Dubé, S. Majaniemi, M. Rost, M. J. Alava, K. R. Elder, and T. Ala-Nissila, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.051605 64, 051605 (2004).
14. J. Soriano, A. Mercier, R. Planet, A. Hernández-Machado, M. A. Rodríguez, and J. Ortín, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.104501 95, 104501 (2005); (Pubitemid 41505759)
15. S. Santucci, R. Planet, K. Jørgen Måløy, and J. Ortín, Europhys. Lett. 0295-5075 10.1209/0295-5075/94/46005 94, 46005 (2011).
16. M. Sánchez, A. Medina, and A. Rojano, Rev. Mex. Fis. 51, 349 (2005).
17. A. S. Balankin, R. Paredes, O. Susarrey, D. Morales, and F. Castrejon, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.96.056101 96, 056101 (2006).
18. S. S. Le Guen and A. R. Kovscek, Transp. Porous Media 0169-3913 10.1007/s11242-005-3327-4 63, 127 (2006).
19. M. Pradas, J. M. López, and A. Hernández-Machado, Phys. Rev. E 1539-3755 10.1103/PhysRevE.76.010102 76, 010102R (2007). (Pubitemid 47112614)
20. M. Pradas and A. Hernández-Machado, Phys. Rev. E 1539-3755 10.1103/PhysRevE.74.041608 74, 041608 (2006); (Pubitemid 44656338)
21. R. Planet, M. Pradas, A. Hernández-Machado, and J. Ortín, Phys. Rev. E 1539-3755 10.1103/PhysRevE.76.056312 77, 056312 (2007); (Pubitemid 350127472)
22. M. Pradas, A. Hernández-Machado, and M. A. Rodríguez, Phys. Rev. E 1539-3755 10.1103/PhysRevE.77.056305 77, 056305 (2008). (Pubitemid 351691620)
23. M. Pradas, J. M. López, and A. Hernández-Machado, Phys. Rev. E 1539-3755 10.1103/PhysRevE.80.050101 80, 050101 (R) (2009).
24. J. M. López, M. Pradas, and A. Hernández-Machado, Phys. Rev. E 1539-3755 10.1103/PhysRevE.82.031127 82, 031127 (2010).
25. R. Planet, St. Santucci, and J. Ortín, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.102.094502 102, 094502 (2009);
26. R. Planet, St. Santucci, and J. Ortín, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.105.029402 105, 029402 (2010);
27. R. Planet, St. Santucci, and J. Ortín, J. Contam. Hydrol. 0169-7722 10.1016/j.jconhyd.2010.10.005 120-121, 157 (2011);
28. G. Pruessner, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.105.029401 105, 029401 (2010).
29. M. Dubé, B. Chabot, C. Daneault, and M. Alava, Pulp Pap. Can. 169, 24 (2005).
30. M. Rost, L. Laurson, M. Dubé, and M. Alava, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.98.054502 98, 054502 (2007); (Pubitemid 46198301)
31. M. Dubé, C. Daneault, V. Vuorinen, M. Alava, and M. Rost, Eur. Phys. J. B 1434-6028 10.1140/epjb/e2007-00085-7 56, 15 (2007). (Pubitemid 46543658)
32. Z. T. Karpyn and M. Piri, Phys. Rev. E 1539-3755 10.1103/PhysRevE.76. 016315 76, 016315 (2007); (Pubitemid 47204824)
33. Z. T. Karpyn and M. Piri, Phys. Rev. E 1539-3755 10.1103/PhysRevE.76. 016316 76, 016316 (2007); (Pubitemid 47204823)
34. B. Aminzadeh and D. A. DiCarlo, Vadose Zone J. 1539-1663 10.2136/vzj2009.0072 9, 588 (2010).
35. C. Ulas Hatiboglu and T. Babadagli, Phys. Rev. E 1539-3755 10.1103/PhysRevE.77.066311 77, 066311 (2008).
36. C. Jian-Chao, Y. Bo-Mingand, M. Mao-Fei, and L. Liang, Chin. Phys. Lett. 0256-307X 10.1088/0256-307X/27/5/054701 27, 054701 (2010);
37. J. Cai, B. Yu, M. Zou, and L. Luo, Energy Fuels 0887-0624 10.1021/ef901413p 24, 1860 (2010);
38. D. Ch. Standnes, Energy Fuels 0887-0624 10.1021/ef901563p 24, 2980 (2010);
39. D. Ch. Standnes, Chem. Eng. Sci. 0009-2509 10.1016/j.ces.2010.06.013 65, 5178 (2010).
40. S. Gruener and P. Huber, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett. 103.174501 103, 174501 (2009);
41. S. Gruener, T. Hofmann, D. Wallacher, A. V. Kityk, and P. Huber, Phys. Rev. E 1539-3755 10.1103/PhysRevE.79.067301 79, 067301 (2009);
42. P. Gaillard, Y. Saito, and O. Pierre-Louis, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.106.195501 106, 195501 (2011).
43. M. Lago and M. Araujo, Physica A 0378-4371 10.1016/S0378-4371(00)00460-X 289, 1 (2001). (Pubitemid 32035024)
44. N. Fries and M. Dreyer, J. Colloid Interface Sci. 0021-9797 10.1016/j.jcis.2009.06.036 338, 514 (2009).
45. L. A. N. Amaral, A.-L. Barabási, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.72.641 72, 641 (1994).
46. A.-L. Barabási and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995).
47. D. Bonn, J. Eggers, J. Indekeu, J. Meunier, and E. Rolley, Rev. Mod. Phys. 10.1103/RevModPhys.81.739 81, 739 (2009).
48. L. A. N. Amaral, A.-L. Barabási, S. V. Buldyrev, S. T. Harrington, S. Havlin, R. Sadr-Lahijany, and H. E. Stanley, Phys. Rev. E 1539-3755 10.1103/PhysRevE.51.4655 51, 4655 (1995).
49. A. Dougherty and N. Carle, Phys. Rev. E 1539-3755 10.1103/PhysRevE.58. 2889 58, 2889 (1998).
50. L. A. N. Amaral, A.-L. Barabási, H. A. Makse, and H. E. Stanley, Phys. Rev. E 1539-3755 10.1103/PhysRevE.52.4087 52, 4087 (1995).
51. P. Chauve, T. Giamarchi, and P. Le Doussal, Phys. Rev. B 1098-0121 10.1103/PhysRevB.62.6241 62, 6241 (2000). (Pubitemid 32336011)
52. A. B. Kolton, A. Rosso, and T. Giamarchi, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.94.047002 94, 047002 (2005). (Pubitemid 40618417)
53. F. Caysol, D. Ravelosona, C. Chappert, J. Ferré, and J. P. Jamet, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.92.107202 92, 107202 (2004).
54. A. Petković and T. Nattermann, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.101.267005 101, 267005 (2008).
55. J. Kierfeld, H. Nordborg, and V. M. Vinokur, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.85.4948 85, 4948 (2000). (Pubitemid 32871676)
56. A. B. Kolton, A. Rosso, T. Giamarchi, and W. Krauth, Phys. Rev. B 1098-0121 10.1103/PhysRevB.79.184207 79, 184207 (2009).
57. D. A. Gorokhov, D. S. Fisher, and G. Blatter, Phys. Rev. B 1098-0121 10.1103/PhysRevB.66.214203 66, 214203 (2002).
58. J. R. Thompson, J. G. Ossandon, L. Krusin-Elbaum, K. J. Song, D. K. Christen, and J. L. Ullmann, Appl. Phys. Lett. 0003-6951 10.1063/1.123225 74, 3699 (1999).
59. M. Schröter, D. I. Goldman, and H. L. Swinney, Phys. Rev. E 1539-3755 10.1103/PhysRevE.71.030301 71, 030301 (R) (2005). (Pubitemid 40619712)
60. E. R. Nowak, J. B. Knight, E. Ben-Naim, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 1539-3755 10.1103/PhysRevE.57.1971 57, 1971 (1998).
61. M. Nicodemi, A. Coniglio, and H. J. Herrmann, Phys. Rev. E 1539-3755 10.1103/PhysRevE.59.6830 59, 6830 (1999).
62. A. Janda, D. Maza, A. Garcimartín, E. Kolb, J. Lanuza, and E. Clément, Europhys. Lett. 0295-5075 10.1209/0295-5075/87/24002 87, 24002 (2009).
63. A. Garcimartín, I. Zuriguel, L. A. Pugnaloni, and A. Janda, Phys. Rev. E 1539-3755 10.1103/PhysRevE.82.031306 82, 031306 (2010).
64. T. Hamida and T. Babadagli, in SPE Asia Pacific Oil and Gas Conference and Exhibition, 5-7 April 2005, Jakarta, Indonesia (Society of Petroleum Engineers, Allen, TX, 2005), 10.2118/92124-MS.
65. T. Hamida and T. Babadagli, Transp. Porous Media 0169-3913 10.1007/s11242-006-9097-9 70, 231 (2007). (Pubitemid 47528060)
66. T. Hamida and T. Babadagli, Colloids Surf., A 0927-7757 10.1016/j.colsurfa.2007.09.012 316, 176 (2008). (Pubitemid 351173718)
67. T. Hamida and T. Babadagli, Ultrason. Sonochem. 1350-4177 10.1016/j.ultsonch.2007.09.012 15, 274 (2008). (Pubitemid 351726290)
68. K. Naderi and T. Babadagli, Ultrason. Sonochem. 1350-4177 10.1016/j.ultsonch.2009.10.022, 17, 500 (2010).
69. H. L. Chen, L. R. Lucas, L. A. D. Nogaret, H. D. Yang, and D. E. Kenyon, SPE Reservoir Eval. Eng. 3, 16 (2001);
70. H. Karimaie, O. Torsaeter, M. R. Esfahani, M. Dadashpour, and S. M. Hashemi, J. Pet. Sci. Eng. 0920-4105 10.1016/j.petrol.2006.03.024 52, 297 (2006); (Pubitemid 43843050)
71. D. Ch. Standnes, Energy Fuels 0887-0624 10.1021/ef901563p 24, 2980 (2010);
72. R. Meher, M. N. Mehta, and S. K. Meher, Int. J. Appl. Math. Mech. 7, 29 (2011).
73. M. M. Kohonena, D. Geromichalosb, M. Scheelb, C. Schierb, and S. Herminghaus, Physica A 0378-4371 10.1016/j.physa.2004.03.047 339, 7 (2004);
74. Y. G. Tselishchev, V. A. Valtsifer, and O. G. Vasileva, Russ. J. Appl. Chem. 1070-4272 10.1134/S1070427206120032 79, 1924 (2006);
75. H. M. Scheel, R. Seemann, M. Brinkmann, M. D. Michiel, A. Sheppard, B. Breidenbach, and S. Herminghaus, Nat. Mater. 1476-1122 10.1038/nmat2117 7, 189 (2008). (Pubitemid 351311292)
76. H. Abou-Chakra, J. Baxter, and U. Tuzun, Adv. Powder Technol. 0921-8831 10.1163/15685520460740070 15, 63 (2004);
77. M. Gan, N. Gopinathan, X. Jia, and R. A. Williams, KONA 22, 82 (2004).
78. O. Chapuis and M. Prat, Phys. Rev. E 1539-3755 10.1103/PhysRevE.75.046311 75, 046311 (2007). (Pubitemid 46686336)
79. [http://www.trusoft-international.com] (benoit1.3, 2011);
80. W. Seffens, Science 0036-8075 10.1126/science.285.5431.1228a 285, 1228 (1999).
81. A. Arnéodo, E. Bacry, P. V. Graves, and J. F. Muzy, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.74.3293 74 3293 (1995);
82. I. Simonsen, A. Hansen, and O. M. Nes, Phys. Rev. E 1539-3755 10.1103/PhysRevE.58.2779 58, 2779 (1998);
83. W. Lui, Int. Manage. Rev. 3, 33 (2001);
84. A. Chamoli, Earth Sci. India 12, 258 (2008).
85. J. J. Ramasco, J. M. López, and M. A. Rodríguez, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.84.2199 54, 2199 (2000).
86. S. V. Buldyrev, A.-L. Barabási, S. Havlin, J. Kenész, H. E. Stanley, and H. S. Xenias, Physica A 0378-4371 10.1016/0378-4371(92)90531-T 191, 220 (1992).
87. R. C. Acharya, S. E. A. T. M. van der Zee, and A. Leijnse, Adv. Water Res. 0309-1708 10.1016/j.advwatres.2004.05.002 27, 707 (2004); (Pubitemid 38836428)
88. M. Gladkikh and S. Bryant, J. Colloid Interface Sci. 0021-9797 10.1016/j.jcis.2005.03.029 288, 526 (2005); (Pubitemid 40779556)
89. M. Gladkikh and S. Bryant, Adv. Water Res. 0309-1708 10.1016/j.advwatres. 2005.11.016 30, 249 (2007); (Pubitemid 44817500)
90. M. Gladkikh and S. L. Bryant, J. Pet. Sci. Eng. 0920-4105 10.1016/j.petrol.2006.03.004 52, 19 (2006); (Pubitemid 43843036)
91. J. J. Milczarek, I. F. Kirejczyk, and J. Zoladek, Acta Phys. Polonica A 113, 1245 (2008).
92. D. S. Fisher, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.56.1964 56, 1964 (1986).
93. P. Philippe and D. Bideau, Europhys. Lett. 0295-5075 10.1209/epl/i2002- 00362-7 60, 677 (2002).
94. P. Richard, M. Nicodemi, R. Delannay, P. Ribière, and D. Bideau, Nat. Mater. 1476-1122 10.1038/nmat1300 4, 121 (2005). (Pubitemid 40178709)
95. M. Mitarai and F. Nori, Adv. Phys. 0001-8732 10.1080/00018730600626065 55, 1 (2006).
96. While for a specific system, a more appropriate control parameter could be Γ = G ω (J. A. Dijksman and M. van Hecke, Europhys. Lett. 0295-5075 10.1209/0295-5075/88/44001 88, 44001 2009);
97. eff, because of the small range of gravitational acceleration explored in this work.
98. S. F. Edwards and R. B. S. Oakeshott, Physica A 0378-4371 10.1016/0378-4371(89)90034-4 157, 1080 (1989);
99. A. Mehta and S. F. Edwards, Physica A 0378-4371 10.1016/0378-4371(89) 90035-6 157, 1091 (1989);
100. S. F. Edwards and C. C. Mounfield, Physica A 0378-4371 10.1016/0378-4371(94)90077-9 210, 290 (1994);
101. S. F. Edwards, J. Stat. Phys. 0022-4715 10.1023/B:JOSS.0000037233.36686. 2f 116, 29 (2004). (Pubitemid 39129769)
102. A. Barrat, J. Kurchan, V. Loreto, and M. Sellitto, Phys. Rev. E 1539-3755 10.1103/PhysRevE.63.051301 63, 051301 (2001);
103. V. Colizza, A. Barrat, and V. Loreto, Phys. Rev. E 1539-3755 10.1103/PhysRevE.65.050301 65, 050301R (2002). (Pubitemid 40606724)