Contact and friction of nanoasperities: Effects of adsorbed monolayers

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

Volumn 81, Issue 1, 2010, Pages

  Cheng, Shengfeng ^a   Luan, Binquan ^b   Robbins, Mark O ^a  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b IBM T J WATSON RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORBED MONOLAYERS; ATOMIC SCALE; ATOMIC STRUCTURE; CHAIN MOLECULES; CONSTANT VELOCITIES; CONTACT AREAS; CONTINUUM THEORY; ELASTIC COATING; ELASTIC SUBSTRATE; FLUID MONOLAYERS; FRICTION FORCE; HIGH LOAD; KINETIC FRICTION; MOLECULAR DYNAMICS SIMULATIONS; NANOASPERITIES; NONLINEAR BEHAVIOR; SMALL LOAD; TIME INTERVAL;

ALGEBRA; ATOMS; CONTINUUM MECHANICS; ELECTRON ENERGY LEVELS; FRICTION; MOLECULAR DYNAMICS; MONOLAYERS; TRIBOLOGY;

LOADS (FORCES);

EID: 76649118801     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.016102     Document Type: Article

References (78)

1. K. L. Johnson, Contact Mechanics (Cambridge University Press, New York, 1985).
2. J. A. Greenwood and J. B. P. Williamson, Proc. R. Soc. London, Ser. A 295, 300 (1966). 10.1098/rspa.1966.0242
3. F. P. Bowden and D. Tabor, The Friction and Lubrication of Solids (Clarendon Press, Oxford, 1986).
4. B. N. J. Persson, Phys. Rev. Lett. 87, 116101 (2001). 10.1103/PhysRevLett.87.116101
5. S. Hyun, L. Pei, J.-F. Molinari, and M. O. Robbins, Phys. Rev. E 70, 026117 (2004). 10.1103/PhysRevE.70.026117
6. C. Campañá, M. H. Müser, and M. O. Robbins, J. Phys.: Condens. Matter 20, 354013 (2008). 10.1088/0953-8984/20/35/354013
7. B. N. J. Persson, J. Phys.: Condens. Matter 20, 312001 (2008). 10.1088/0953-8984/20/31/312001
8. M. L. Gee, P. M. McGuiggan, J. N. Israelachvili, and A. M. Homola, J. Chem. Phys. 93, 1895 (1990). 10.1063/1.459067
9. S. Granick, Science 253, 1374 (1991). 10.1126/science.253.5026.1374
10. J. Klein and E. Kumacheva, Science 269, 816 (1995). 10.1126/science.269. 5225.816
11. R. W. Carpick and M. Salmeron, Chem. Rev. 97, 1163 (1997). 10.1021/cr960068q
12. J. D. Kiely and J. E. Houston, Phys. Rev. B 57, 12588 (1998). 10.1103/PhysRevB.57.12588
13. Springer Handbook of Nanotechnology, edited by, B. Bhushan, (Springer-Verlag, Berlin, 2004). 10.1007/3-540-29838-X
14. R. W. Carpick, D. F. Ogletree, and M. Salmeron, J. Colloid Interface Sci. 211, 395 (1999). 10.1006/jcis.1998.6027
15. U. D. Schwarz, J. Colloid Interface Sci. 261, 99 (2003). 10.1016/S0021-9797(03)00049-3
16. B. Q. Luan and M. O. Robbins, Nature (London) 435, 929 (2005). 10.1038/nature03700
17. B. Q. Luan and M. O. Robbins, Phys. Rev. E 74, 026111 (2006). 10.1103/PhysRevE.74.026111
18. G. T. Gao, R. J. Cannara, R. W. Carpick, and J. A. Harrison, Langmuir 23, 5394 (2007). 10.1021/la062254p
19. M. J. Brukman, G. Gao, R. J. Nemanich, and J. A. Harrison, J. Phys. Chem. C 112, 9358 (2008). 10.1021/jp711959e
20. Y. Mo, K. T. Turner, and I. Szlufarska, Nature (London) 457, 1116 (2009). 10.1038/nature07748
21. Y. Mo and I. Szlufarska, Phys. Rev. B 81, 035405 (2010).
22. J. A. Greenwood and J. H. Tripp, ASME Trans. J. Appl. Mech. 34, 153 (1967).
23. M. Hirano and K. Shinjo, Phys. Rev. B 41, 11837 (1990). 10.1103/PhysRevB.41.11837
24. M. H. Müser, Tribol. Lett. 10, 15 (2001). 10.1023/A:1009086631388
25. M. Cieplak, E. D. Smith, and M. O. Robbins, Science 265, 1209 (1994). 10.1126/science.265.5176.1209
26. G. He, M. H. Müser, and M. O. Robbins, Science 284, 1650 (1999). 10.1126/science.284.5420.1650
27. M. H. Müser, L. Wenning, and M. O. Robbins, Phys. Rev. Lett. 86, 1295 (2001). 10.1103/PhysRevLett.86.1295
28. M. Hirano, Surf. Sci. Rep. 60, 159 (2006). 10.1016/j.surfrep.2005.10.003
29. M. Dienwiebel, G. S. Verhoeven, N. Pradeep, J. W. M. Frenken, J. A. Heimberg, and H. W. Zandbergen, Phys. Rev. Lett. 92, 126101 (2004). 10.1103/PhysRevLett.92.126101
30. D. Dietzel, C. Ritter, T. Mönninghoff, H. Fuchs, A. Schirmeisen, and U. D. Schwarz, Phys. Rev. Lett. 101, 125505 (2008). 10.1103/PhysRevLett.101. 125505
31. J. M. Martin, C. Donnet, T. Le Mogne, and T. Epicier, Phys. Rev. B 48, 10583 (1993). 10.1103/PhysRevB.48.10583
32. G. He and M. O. Robbins, Tribol. Lett. 10, 7 (2001). 10.1023/A: 1009030413641
33. G. He and M. O. Robbins, Phys. Rev. B 64, 035413 (2001). 10.1103/PhysRevB.64.035413
34. K. L. Johnson and I. Sridhar, J. Phys. D 34, 683 (2001). 10.1088/0022-3727/34/5/304
35. I. Sridhar, Z. W. Zheng, and K. L. Johnson, J. Phys. D 37, 2886 (2004). 10.1088/0022-3727/37/20/016
36. A. O. Sergici, G. G. Adams, and S. Müftü, J. Mech. Phys. Solids 54, 1843 (2006). 10.1016/j.jmps.2006.03.005
37. K. Kremer and G. S. Grest, J. Chem. Phys. 92, 5057 (1990). 10.1063/1.458541
38. J. Rottler, S. Barsky, and M. O. Robbins, Phys. Rev. Lett. 89, 148304 (2002). 10.1103/PhysRevLett.89.148304
39. J. Rottler and M. O. Robbins, Phys. Rev. Lett. 89, 195501 (2002). 10.1103/PhysRevLett.89.195501
40. R. S. Hoy and M. O. Robbins, Phys. Rev. Lett. 99, 117801 (2007). 10.1103/PhysRevLett.99.117801
41. A. R. C. Baljon and M. O. Robbins, Science 271, 482 (1996). 10.1126/science.271.5248.482
42. J. Rottler and M. O. Robbins, Phys. Rev. E 64, 051801 (2001). 10.1103/PhysRevE.64.051801
43. P. A. Thompson and M. O. Robbins, Phys. Rev. A 41, 6830 (1990). 10.1103/PhysRevA.41.6830
44. S. J. Plimpton, J. Comput. Phys. 117, 1 (1995). The code is available at http://lammps.sandia.gov/ 10.1006/jcph.1995.1039
45. A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity (Dover Publications, New York, 1944).
46. P. A. Thompson, G. S. Grest, and M. O. Robbins, Phys. Rev. Lett. 68, 3448 (1992). 10.1103/PhysRevLett.68.3448
47. J. Gao, W. D. Luedtke, and U. Landman, Phys. Rev. Lett. 79, 705 (1997). 10.1103/PhysRevLett.79.705
48. S. T. Cui, C. McCabe, P. T. Cummings, and H. D. Cochran, J. Chem. Phys. 118, 8941 (2003). 10.1063/1.1568084
49. B. Q. Luan, S. Hyun, J. F. Molinari, N. Bernstein, and M. O. Robbins, Phys. Rev. E 74, 046710 (2006). 10.1103/PhysRevE.74.046710
50. M. T. Knippenberg, P. T. Mikulski, B. I. Dunlap, and J. A. Harrison, Phys. Rev. B 78, 235409 (2008). 10.1103/PhysRevB.78.235409
51. B. Q. Luan and M. O. Robbins, Tribol. Lett. 36, 1 (2009). 10.1007/s11249-009-9453-3
52. J. Gao, W. D. Luedtke, D. Gourdon, M. Ruths, J. N. Israelachvili, and U. Landman, J. Phys. Chem. B 108, 3410 (2004). 10.1021/jp036362l
53. J. D. Pearson, G. Gao, M. A. Zikry, and J. A. Harrison, Comput. Mater. Sci. 47, 1 (2009). 10.1016/j.commatsci.2009.06.007
54. C. Yang and B. N. J. Persson, Phys. Rev. Lett. 100, 024303 (2008). 10.1103/PhysRevLett.100.024303
55. C. Yang and B. N. J. Persson, J. Phys.: Condens. Matter 20, 215214 (2008). 10.1088/0953-8984/20/21/215214
56. I. Szlufarska, M. Chandross, and R. W. Carpick, J. Phys. D 41, 123001 (2008). 10.1088/0022-3727/41/12/123001
57. M. Chandross, G. S. Grest, and M. J. Stevens, Langmuir 18, 8392 (2002). 10.1021/la025598y
58. M. Chandross, C. D. Lorenz, M. J. Stevens, and G. S. Grest, Langmuir 24, 1240 (2008). 10.1021/la702323y
59. N. A. Burnham, R. J. Colton, and H. M. Pollock, J. Vac. Sci. Technol. A 9, 2548 (1991). 10.1116/1.577271
60. B. Q. Luan, Ph. D. thesis, Johns Hopkins University, Baltimore, 2006.
61. M. H. Müser, M. Urbakh, and M. O. Robbins, Adv. Chem. Phys. 126, 187 (2003). 10.1002/0471428019.ch5
62. S. N. Medyanik, W. K. Liu, I.-H. Sung, and R. W. Carpick, Phys. Rev. Lett. 97, 136106 (2006). 10.1103/PhysRevLett.97.136106
63. W. G. Conley, C. M. Krousgrill, and A. Raman, Tribol. Lett. 29, 23 (2008). 10.1007/s11249-007-9278-x
64. B. Q. Luan and M. O. Robbins, Phys. Rev. Lett. 93, 036105 (2004). 10.1103/PhysRevLett.93.036105
65. L. Prandtl, Z. Angew. Math. Mech. 8, 85 (1928). 10.1002/zamm.19280080202
66. G. A. Tomlinson, Philos. Mag. 7, 905 (1929).
67. Java applets illustrating the behavior of this equation are at www.pha.jhu.edu/~javalab/friction/substrate.html
68. J. H. Dieterich, J. Geophys. Res. 84, 2169 (1979). 10.1029/ JB084iB05p02169
69. A. Ruina, J. Geophys. Res. 88, 10359 (1983). 10.1029/JB088iB12p10359
70. J. Rottler and M. O. Robbins, Phys. Rev. Lett. 95, 225504 (2005). 10.1103/PhysRevLett.95.225504
71. J. A. Harrison, C. T. White, R. J. Colton, and D. W. Brenner, J. Phys. Chem. 97, 6573 (1993). 10.1021/j100127a001
72. M. D. Perry and J. A. Harrison, J. Phys. Chem. B 101, 1364 (1997). 10.1021/jp962561b
73. J. A. Harrison, S. J. Stuart, and D. W. Brenner, in Handbook of Micro/Nanotribology, edited by, B. Bhushan, (CRC Press, Boca Raton, FL, 1999), pp. 525-594.
74. U. Landman, W. D. Luedtke, and J. Gao, Langmuir 12, 4514 (1996). 10.1021/la950890+
75. B. N. J. Persson and P. Ballone, J. Chem. Phys. 112, 9524 (2000). 10.1063/1.481589
76. A. Socoliuc, R. Bennewitz, E. Gnecco, and E. Meyer, Phys. Rev. Lett. 92, 134301 (2004). 10.1103/PhysRevLett.92.134301
77. J. N. Glosli and G. M. McClelland, Phys. Rev. Lett. 70, 1960 (1993). 10.1103/PhysRevLett.70.1960
78. T. Gyalog, M. Bammerlin, R. Lüthi, E. Meyer, and H. Thomas, Europhys. Lett. 31, 269 (1995). 10.1209/0295-5075/31/5-6/004