Molecular dynamics simulation of atomic friction: A review and guide

Journal of Vacuum Science and Technology A: Vacuum, Surfaces and Films

Volumn 31, Issue 3, 2013, Pages

  Dong, Yalin ^a   Li, Qunyang ^b   Martini, Ashlie ^c  

^a PURDUE UNIVERSITY   (United States)

^b TSINGHUA UNIVERSITY   (China)

^c Merced   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC FRICTION; ATOMIC-SCALE FRICTION; ATOMISTIC SIMULATIONS; EXPERIMENTAL MEASUREMENTS; MOLECULAR DYNAMICS SIMULATIONS; PREDICTIVE TOOLS; RECENT PROGRESS; SIMULATION PREDICTION;

ATOMIC FORCE MICROSCOPY; FRICTION; MOLECULAR DYNAMICS; MOLECULAR MECHANICS;

TRIBOLOGY;

EID: 84877752342     PISSN: 07342101     EISSN: None     Source Type: Journal    
DOI: 10.1116/1.4794357     Document Type: Review

References (182)

1. C. M. Mate, G. M. McClelland, R. Erlandsson, and S. Chiang, Phys. Rev. Lett. 59, 1942 (1987). 10.1103/PhysRevLett.59.1942
2. Q. Li, Y. Dong, D. Perez, A. Martini, and R. W. Carpick, Phys. Rev. Lett. 106, 126101 (2011). 10.1103/PhysRevLett.106.126101
3. I. L. Singer, J. Vac. Sci. Technol. A 12, 2605 (1994). 10.1116/1.579079
4. B. Bhushan, J. N. Israelachvili, and U. Landman, Nature 374, 607 (1995). 10.1038/374607a0
5. R. W. Carpick and M. Salmeron, Chem. Rev. 97, 1163 (1997). 10.1021/cr960068q
6. G. V. Dedkov, Physica Status Solidi A 179, 3 (2000). 10.1002/1521- 396X(200005)179:1<3::AID-PSSA3>3.0.CO;2-M
7. E. Gnecco, R. Bennewitz, T. Gyalog, and E. Meyer, J. Phys.: Condens. Matter 13, 619 (2001). 10.1088/0953-8984/13/31/202
8. M. Urbakh, J. Klafter, D. Gourdon, and J. Israelachvili, Nature 430, 525 (2004). 10.1038/nature02750
9. O. M. Braun and A. G. Naumovets, Surf. Sci. Rep. 60, 79 (2006). 10.1016/j.surfrep.2005.10.004
10. I. Szlufarska, M. Chandross, and R. W. Carpick, J. Phys. D: Appl. Phys. 41, 123001 (2008). 10.1088/0022-3727/41/12/123001
11. H. Hölscher, A. Schirmeisen, and U. D. Schwarz, Phil. Trans. R. Soc. A 366, 1383 (2008). 10.1098/rsta.2007.2164
12. H. J. Kim and D. E. Kim, Inter. J. Prec. Eng. Manufac. 10, 141 (2009). 10.1007/s12541-009-0039-7
13. Y. Dong, A. Vadakkepatt, and A. Martini, Tribol. Lett. 44, 367 (2011). 10.1007/s11249-011-9850-2
14. J. E. Jones, Proc. R. Soc. London, Ser. A 106, 463 (1924). 10.1098/rspa.1924.0082
15. A. Warshel and S. Lifson, J. Chem. Phys. 53, 582 (1970). 10.1063/1.1674031
16. B. Luan and M. Robbins, Nature 435, 929 (2005). 10.1038/nature03700
17. B. Luan and M. O. Robbins, Phys. Rev. E 74, 026111 (2006). 10.1103/PhysRevE.74.026111
18. M. Cieplak, E. D. Smith, and M. O. Robbins, Science 265, 1209 (1994). 10.1126/science.265.5176.1209
19. L. C. Allen, J. F. Capitani, G. A. Kolks, and G. D. Sproul, J. Mol. Struct. 300, 647 (1993). 10.1016/0022-2860(93)87053-C
20. C. Kittel and P. McEuen, Introduction to Solid State Physics (Wiley, New York, 1976), Vol. 7.
21. M. S. Daw and M. I. Baskes, Phys. Rev. B 29, 6443 (1984). 10.1103/PhysRevB.29.6443
22. S. M. Foiles, M. I. Baskes, and M. S. Daw, Phys. Rev. B 33, 7983 (1986). 10.1103/PhysRevB.33.7983
23. M. S. Daw, S. M. Foiles, and M. I. Baskes, Mater. Sci. Rep. 9, 251 (1993). 10.1016/0920-2307(93)90001-U
24. U. Landman, W. D. Luedtke, N. A. Burnham, and R. J. Colton, Science 248, 454 (1990). 10.1126/science.248.4954.454
25. J. A. Nieminen, A. P. Sutton, and J. B. Pethica, Acta Metall. 40, 2503 (1992). 10.1016/0956-7151(92)90320-E
26. A. Buldum, S. Ciraci, and I. P. Batra, Phys. Rev. B 57, 2468 (1998). 10.1103/PhysRevB.57.2468
27. R. Komanduri, N. Chandrasekaran, and L. M. Raff, Phys. Rev. B 61, 14007 (2000). 10.1103/PhysRevB.61.14007
28. M. H. Cho, S. J. Kim, D. S. Lim, and H. Jang, Wear 259, 1392 (2005). 10.1016/j.wear.2005.01.002
29. H. J. Kim, A. Emge, R. E. Winter, P. T. Keightley, W. K. Kim, M. L. Falk, and D. A. Rigney, Acta Mater. 57, 5270 (2009). 10.1016/j.actamat.2009.07.034
30. N. N. Gosvami, M. Feldmann, J. Peguiron, M. Moseler, A. Schirmeisen, and R. Bennewitz, Phys. Rev. Lett. 107, 144303 (2011). 10.1103/PhysRevLett.107. 144303
31. M. I. Baskes, J. S. Nelson, and A. F. Wright, Phys. Rev. B 40, 6085 (1989). 10.1103/PhysRevB.40.6085
32. F. H. Stillinger and T. A. Weber, Phys. Rev.B 31, 5262 (1985). 10.1103/PhysRevB.31.5262
33. J. Tersoff, Phys. Rev. B 37, 6991 (1988). 10.1103/PhysRevB.37.6991
34. D. W. Brenner, Phys. Rev. B 42, 9458 (1990). 10.1103/PhysRevB.42.9458
35. S. J. Stuart, A. B. Tutein, and J. A. Harrison, J. Chem. Phys. 112, 6472 (2000). 10.1063/1.481208
36. A. C. T. Van Duin, S. Dasgupta, F. Lorant, and W. A. Goddard III, J. Phys. Chem. A 105, 9396 (2001). 10.1021/jp004368u
37. J. A. Harrison, C. T. White, R. J. Colton, and D. W. Brenner, Phys. Rev. B 46, 9700 (1992). 10.1103/PhysRevB.46.9700
38. J. A. Harrison, R. J. Colton, C. T. White, and D. W. Brenner, Wear 168, 127 (1993). 10.1016/0043-1648(93)90208-4
39. J. Han, A. Globus, R. Jaffe, and G. Deardorff, Nanotechnology 8, 95 (1997). 10.1088/0957-4484/8/3/001
40. M. J. Brukman, G. Gao, R. J. Nemanich, and J. A. Harrison, J. Phys. Chem. C 112, 9358 (2008). 10.1021/jp711959e
41. G. Gao, R. J. Cannara, R. W. Carpick, and J. A. Harrison, Langmuir 23, 5394 (2007). 10.1021/la062254p
42. E. Gnecco, R. Bennewitz, T. Gyalog, C. Loppacher, M. Bammerlin, E. Meyer, and H. J. Güntherodt, Phys. Rev. Lett. 84, 1172 (2000). 10.1103/PhysRevLett.84.1172
43. A. Socoliuc, R. Bennewitz, E. Gnecco, and E. Meyer, Phys. Rev. Lett. 92, 134301 (2004). 10.1103/PhysRevLett.92.134301
44. S. Maier, E. Gnecco, A. Baratoff, R. Bennewitz, and E. Meyer, Phys. Rev. B 78, 045432 (2008). 10.1103/PhysRevB.78.045432
45. S. Maier, Y. Sang, T. Filleter, M. Grant, R. Bennewitz, E. Gnecco, and E. Meyer, Phys. Rev. B 72, 245418 (2005). 10.1103/PhysRevB.72.245418
46. U. Wyder, A. Baratoff, E. Meyer, L. N. Kantorovich, J. David, S. Maier, T. Filleter, and R. Bennewitz, J. Vac. Sci. Technol. B 25, 1547 (2007). 10.1116/1.2770743
47. R. Bennewitz, T. Gyalog, M. Guggisberg, M. Bammerlin, E. Meyer, and H. J. Güntherodt, Phys. Rev. B 60, 11301 (1999). 10.1103/PhysRevB.60.R11301
48. 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
49. N. N. Gosvami, T. Filleter, P. Egberts, and R. Bennewitz, Tribol. Lett. 39, 19 (2010). 10.1007/s11249-009-9508-5
50. P. L. Williams, Y. Mishin, and J. C. Hamilton, Modelling Simul. Mater. Sci. Eng. 14, 817 (2006). 10.1088/0965-0393/14/5/002
51. F. Apostol and Y. Mishin, Phys. Rev. B 83, 054116 (2011). 10.1103/PhysRevB.83.054116
52. J. Yu, S. B. Sinnott, and S. R. Phillpot, Phys. Rev. B 75, 085311 (2007). 10.1103/PhysRevB.75.085311
53. T. Shan, B. Devine, T. Kemper, S. Sinnott, and S. Phillpot, Phys. Rev. B 81, 125328 (2010). 10.1103/PhysRevB.81.125328
54. C. A. Becker, in Models, Databases, and Simulation Tools Needed for the Realization of Integrated Computational Materials Engineering: Proceedings of the Symposium (ASM International, Houston, TX, 2011), p. 91.
55. E. B. Tadmor, R. S. Elliott, J. P. Sethna, R. E. Miller, and C. A. Becker, JOM 63, 17 (2011). 10.1007/s11837-011-0102-6
56. M. R. Sorensen, K. W. Jacobsen, and P. Stoltze, Phys. Rev. B 53, 2101 (1996). 10.1103/PhysRevB.53.2101
57. Y. Dong, Q. Li, J. Wu, and A. Martini, Modell. Simul. Mater. Sci. Eng 19, 065003 (2011). 10.1088/0965-0393/19/6/065003
58. U. Harten, A. M. Lahee, J. P. Toennies, and C. Wöll, Phys. Rev. Lett. 54, 2619 (1985). 10.1103/PhysRevLett.54.2619
59. T. Filleter and R. Bennewitz, Phys. Rev. B 81, 155412 (2010). 10.1103/PhysRevB.81.155412
60. P. Steiner, E. Gnecco, T. Filleter, N. N. Gosvami, S. Maier, E. Meyer, and R. Bennewitz, Tribol. Lett. 39, 321 (2010). 10.1007/s11249-010-9677-2
61. Q. Li, Y. Dong, A. Martini, and R. W. Carpick, Tribol. Lett. 43, 369 (2011). 10.1007/s11249-011-9824-4
62. M. I. Haftel, Phys. Rev. B 48, 2611 (1993). 10.1103/PhysRevB.48.2611
63. T. Müller, M. Lohrmann, T. Kässer, O. Marti, J. Mlynek, and G. Krausch, Phys. Rev. Lett. 79, 5066 (1997). 10.1103/PhysRevLett.79.5066
64. F. Hausen, M. Nielinger, S. Ernst, and H. Baltruschat, Electrochim. Acta 53, 6058 (2008). 10.1016/j.electacta.2008.03.053
65. H. Hölscher, D. Ebeling, and U. D. Schwarz, Phys. Rev. Lett. 101, 246105 (2008). 10.1103/PhysRevLett.101.246105
66. P. Steiner, E. Gnecco, F. Krok, J. Budzioch, L. Walczak, J. Konior, M. Szymonski, and E. Meyer, Phys. Rev. Lett. 106, 186104 (2011). 10.1103/PhysRevLett.106.186104
67. Y. Dong, X. Z. Liu, P. Egbert, Z. Ye, R. W. Carpick, and A. Martini, Tribol. Lett. (in press). 10.1007/s11249-012-0072-z
68. R. L. Schwoebel and E. J. Shipsey, J. Appl. Phys. 37, 3682 (1966). 10.1063/1.1707904
69. G. Ehrlich, J. Chem. Phys. 44, 1050 (1966). 10.1063/1.1726788
70. M. Hirano, K. Shinjo, R. Kaneko, and Y. Murata, Phys. Rev. Lett. 67, 2642 (1991). 10.1103/PhysRevLett.67.2642
71. M. H. Müser, Europhys. Lett. 66, 97 (2004). 10.1209/epl/i2003-10139- 6
72. J. M. Martin, C. Donnet, T. Le Mogne, and T. Epicier, Phys. Rev. B 48, 10583 (1993). 10.1103/PhysRevB.48.10583
73. M. Hirano, K. Shinjo, R. Kaneko, and Y. Murata, Phys. Rev. Lett. 78, 1448 (1997). 10.1103/PhysRevLett.78.1448
74. A. Crossley, E. H. Kisi, J. W. Summers, and S. Myhra, J. Phys. D: Appl. Phys. 32, 632 (1999). 10.1088/0022-3727/32/6/006
75. A. P. Merkle and L. D. Marks, Tribol. Lett. 26, 73 (2007). 10.1007/s11249-006-9191-8
76. J. M. B. Lopes dos Santos, N. M. R. Peres, and A. H. Castro Neto, Phys. Rev. Lett. 99, 256802 (2007). 10.1103/PhysRevLett.99.256802
77. V. A. Ivanov and Y. Mishin, Phys. Rev. B 78, 064106 (2008). 10.1103/PhysRevB.78.064106
78. K. L. Johnson, Contact Mechanics (Cambridge Univ. Press, Cambridge, England, 1987).
79. J. A. Hurtado and K. S. Kim, Phil. Trans. R. Soc. A 455, 3363 (1999). 10.1098/rspa.1999.0455
80. J. A. Hurtado and K. S. Kim, Phil. Trans. R. Soc. A 455, 3385 (1999). 10.1098/rspa.1999.0456
81. Y. Gao, J. Mech. Phys. Sol. 58, 2023 (2010). 10.1016/j.jmps.2010.09.014
82. R. M. Overney, H. Takano, M. Fujihira, W. Paulus, and H. Ringsdorf, Phys. Rev. Lett. 72, 3546 (1994). 10.1103/PhysRevLett.72.3546
83. Y. Qi, Y. T. Cheng, T. Çaǧin, and W. A. Goddard III, Phys. Rev. B 66, 085420 (2002). 10.1103/PhysRevB.66.085420
84. J. Y. Park, D. F. Ogletree, M. Salmeron, R. A. Ribeiro, P. C. Canfield, C. J. Jenks, and P. A. Thiel, Science 309, 1354 (2005). 10.1126/science.1113239
85. A. E. Filippov, A. Vanossi, and M. Urbakh, Phys. Rev. Lett. 104, 74302 (2010). 10.1103/PhysRevLett.104.074302
86. M. Campione and E. Fumagalli, Phys. Rev. Lett. 105, 166103 (2010). 10.1103/PhysRevLett.105.166103
87. C. Tourek and S. Sundararajan, Microsc. Microanal. 15, 290 (2009). 10.1017/S1431927609094434
88. E. Riedo, E. Gnecco, R. Bennewitz, E. Meyer, and H. Brune, Phys. Rev. Lett. 91, 84502 (2003). 10.1103/PhysRevLett.91.084502
89. K. L. Johnson and J. Woodhouse, Tribol. Lett. 5, 155 (1998). 10.1023/A:1019106127794
90. S. N. Medyanik, W. K. Liu, I. H. Sung, and R. W. Carpick, Phys. Rev. Lett. 97, 136106 (2006). 10.1103/PhysRevLett.97.136106
91. R. W. Carpick, D. F. Ogletree, and M. Salmeron, Appl. Phys. Lett. 70, 1548 (1997). 10.1063/1.118639
92. G. Binnig, C. F. Quate, and C. Gerber, Phys. Rev. Lett. 56, 930 (1986). 10.1103/PhysRevLett.56.930
93. J. L. Hutter and J. Bechhoefer, Rev. Sci. Instrum. 64, 1868 (1993). 10.1063/1.1143970
94. M. Munz, J. Phys. D: Appl. Phys. 43, 063001 (2010). 10.1088/0022-3727/43/ 6/063001
95. D. F. Ogletree, R. W. Carpick, and M. Salmeron, Rev. Sci. Instrum. 67, 3298 (1996). 10.1063/1.1147411
96. M. A. Lantz, S. J. Oshea, A. C. F. Hoole, and M. E. Welland, Appl. Phys. Lett. 70, 970 (1997). 10.1063/1.118476
97. O. Piétrement, J. L. Beaudoin, and M. Troyon, Tribol. Lett. 7, 213 (1999). 10.1023/A:1019150226828
98. M. A. Lantz, S. J. Oshea, M. E. Welland, and K. L. Johnson, Phys. Rev. B 55, 10776 (1997). 10.1103/PhysRevB.55.10776
99. P. Reimann and M. Evstigneev, New J. Phys. 7, 25 (2005). 10.1088/1367-2630/7/1/025
100. S. Y. Krylov, J. A. Dijksman, W. A. Van Loo, and J. W. M. Frenken, Phys. Rev. Lett. 97, 166103 (2006). 10.1103/PhysRevLett.97.166103
101. D. G. Abel, S. Y. Krylov, and J. W. M. Frenken, Phys. Rev. Lett. 99, 166102 (2007). 10.1103/PhysRevLett.99.166102
102. S. Y. Krylov and J. W. M. Frenken, New J. Phys. 9, 398 (2007). 10.1088/1367-2630/9/10/398
103. S. Y. Krylov and J. W. M. Frenken, Phys. Rev. B 80, 235435 (2009). 10.1103/PhysRevB.80.235435
104. Z. Tshiprut, A. E. Filippov, and M. Urbakh, J. Phys.: Condens. Matter 20, 354002 (2008). 10.1088/0953-8984/20/35/354002
105. J. Shimizu, H. Eda, M. Yoritsune, and E. Ohmura, Nanotechnology 9, 118 (1998). 10.1088/0957-4484/9/2/014
106. Y. Leng and S. Jiang, Tribol. Lett. 11, 111 (2001). 10.1023/A: 1016736222025
107. R. Smith, D. Mulliah, S. D. Kenny, E. McGee, A. Richter, and M. Gruner, Wear 259, 459 (2005). 10.1016/j.wear.2005.01.023
108. K. Matsushita, H. Matsukawa, and N. Sasaki, Solid State Commun. 136, 51 (2005). 10.1016/j.ssc.2005.05.052
109. W. K. Kim and M. L. Falk, Phys. Rev. B 80, 235428 (2009). 10.1103/PhysRevB.80.235428
110. W. K. Kim and M. L. Falk, Phys. Rev. B 84, 165422 (2011). 10.1103/PhysRevB.84.165422
111. Y. Dong, D. Perez, A. F. Voter, and A. Martini, Tribol. Lett. 42, 99 (2011). 10.1007/s11249-011-9750-5
112. A. P. Merkle and L. D. Marks, Appl. Phys. Lett. 90, 064101 (2007). 10.1063/1.2456192
113. A. P. Merkle and L. D. Marks, Wear 265, 1864 (2008). 10.1016/j.wear.2008. 04.032
114. K. Anantheshwara and M. S. Bobji, Tribol. Int. 43, 1099 (2010). 10.1016/j.triboint.2009.12.066
115. 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
116. H. Hertz, J. Reine Angew. Math 92, 156 (1881).
117. K. L. Johnson, K. Kendall, and A. D. Roberts, Phil. Trans. R. Soc. A 324, 301 (1971). 10.1098/rspa.1971.0141
118. B. V. Derjaguin, V. M. Muller, and Y. P. Toporov, J. Colloid Interface Sci. 53, 314 (1975). 10.1016/0021-9797(75)90018-1
119. D. Tabor, J. Colloid Interface Sci. 58, 2 (1977). 10.1016/0021-9797(77) 90366-6
120. D. Maugis, J. Colloid Interface Sci. 150, 243 (1992). 10.1016/0021-9797(92)90285-T
121. U. D. Schwarz, O. Zwörner, P. Köster, and R. Wiesendanger, Phys. Rev. B 56, 6987 (1997). 10.1103/PhysRevB.56.6987
122. R. W. Carpick, D. Frank Ogletree, and Miquel Salmeron, J. Colloid Interface Sci. 211, 395 (1999). 10.1006/jcis.1998.6027
123. K. L. Johnson, Tribol. Int. 31, 413 (1998). 10.1016/S0301-679X(98)00060-7
124. Y. Mo, K. T. Turner, and I. Szlufarska, Nature 457, 1116 (2009). 10.1038/nature07748
125. S. Cheng and M. O. Robbins, Tribol. Lett. 39, 329 (2010). 10.1007/s11249-010-9682-5
126. M. Enachescu, R. Van den Oetelaar, R. W. Carpick, D. F. Ogletree, C. Flipse, and M. Salmeron, Tribol. Lett. 7, 73 (1999). 10.1023/A:1019173404538
127. F. Lancon, J. Ye, D. Caliste, T. Radetic, A. M. Minor, and U. Dahmen, Nano Lett. 10, 695 (2010). 10.1021/nl903885p
128. Z. Liu, J. Yang, F. Grey, J. Z. Liu, Y. Liu, Y. Wang, Y. Yang, Y. Cheng, and Q. Zheng, Phys. Rev. Lett. 108, 205503 (2012). 10.1103/PhysRevLett.108. 205503
129. J. Liu, J. K. Notbohm, R. W. Carpick, and K. T. Turner, ACS Nano 4, 3763 (2010). 10.1021/nn100246g
130. 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
131. O. Pietrement and M. Troyon, Langmuir 17, 6540 (2001). 10.1021/la010458u
132. L. Wenning and M. H. Müser, Europhys. Lett. 54, 693 (2001). 10.1209/epl/i2001-00371-6
133. C. Greiner, J. R. Felts, Z. Dai, W. P. King, and R. W. Carpick, Nano Lett. 10, 4640 (2010). 10.1021/nl102809k
134. L. Jansen, H. Hölscher, H. Fuchs, and A. Schirmeisen, Phys. Rev. Lett. 104, 256101 (2010). 10.1103/PhysRevLett.104.256101
135. A. Schirmeisen, L. Jansen, H. Hölscher, and H. Fuchs, Appl. Phys. Lett. 88, 123108 (2006). 10.1063/1.2187575
136. X. Zhao, S. Phillpot, W. G. Sawyer, S. B. Sinnott, and S. S. Perry, Phys. Rev. Lett. 102, 186102 (2009). 10.1103/PhysRevLett.102.186102
137. I. Barel, M. Urbakh, L. Jansen, and A. Schirmeisen, Phys. Rev. Lett. 104, 66104 (2010). 10.1103/PhysRevLett.104.066104
138. I. Barel, M. Urbakh, L. Jansen, and A. Schirmeisen, Phys. Rev. B 84, 115417 (2011). 10.1103/PhysRevB.84.115417
139. V. Kapila, P. A. Deymier, and S. Raghavan, Modell. Simul. Mater. Sci. Eng. 14, 283 (2006). 10.1088/0965-0393/14/2/011
140. L. Prandtl, Z. Angew. Math. Mech. 8, 85 (1928). 10.1002/zamm.19280080202
141. G. A. Tomlinson, Philos. Mag. 7, 905 (1929).
142. P. Hanggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990). 10.1103/RevModPhys.62.251
143. Y. Sang, M. Dubé, and M. Grant, Phys. Rev. Lett. 87, 174301 (2001). 10.1103/PhysRevLett.87.174301
144. O. J. Furlong, S. J. Manzi, V. D. Pereyra, V. Bustos, and W. T. Tysoe, Phys. Rev. B 80, 153408 (2009). 10.1103/PhysRevB.80.153408
145. Y. Dong, D. Perez, H. Gao, and A. Martini, J. Phys.: Conden. Matter 24, 265001 (2012). 10.1088/0953-8984/24/26/265001
146. A. E. Filippov, J. Klafter, and M. Urbakh, Phys. Rev. Lett. 92, 135503 (2004). 10.1103/PhysRevLett.92.135503
147. A. Labuda, M. Lysy, W. Paul, Y. Miyahara, P. Grütter, R. Bennewitz, and M. Sutton, Phys. Rev. E 86, 031104 (2012). 10.1103/PhysRevE.86.031104
148. A. Labuda, M. Lysy, and P. Grutter, Appl. Phys. Lett. 101, 113105 (2012). 10.1063/1.4745781
149. Y. Dong, H. Gao, and A. Martini, Europhys. Lett. 98, 16002 (2012). 10.1209/0295-5075/98/16002
150. S. Sinnott, S. J. Heo, D. Brenner, and J. Harrison, in Springer Handbook of Nanotechnology (Springer, New York, 2007), pp. 1051-1106.
151. M. Kisiel, E. Gnecco, U. Gysin, L. Marot, S. Rast, and E. Meyer, Nature Mater. 10, 119 (2011). 10.1038/nmat2936
152. A. Benassi, A. Vanossi, G. E. Santoro, and E. Tosatti, Phys. Rev. B 82, 081401 (2010). 10.1103/PhysRevB.82.081401
153. A. Benassi, A. Vanossi, G. E. Santoro, and E. Tosatti, Tribol. Lett. 48, 41 (2012). 10.1007/s11249-012-9936-5
154. S. Sills and R. M. Overney, Phys. Rev. Lett. 91, 95501 (2003). 10.1103/PhysRevLett.91.095501
155. J. Chen, I. Ratera, J. Y. Park, and M. Salmeron, Phys. Rev. Lett. 96, 236102 (2006). 10.1103/PhysRevLett.96.236102
156. N. S. Tambe and B. Bhushan, Nanotechnology 16, 2309 (2005). 10.1088/0957-4484/16/10/054
157. C. Greiner, J. Felts, Z. Dai, W. P. King, and R. W. Carpick, ACS Nano 6, 4305 (2012). 10.1021/nn300869w
158. N. S. Tambe and B. Bhushan, J. Phys. D: Appl. Phys. 38, 764 (2005). 10.1088/0022-3727/38/5/015
159. Z. Tao and B. Bhushan, Rev. Sci. Instrum 77, 103705 (2006). 10.1063/1.2358690
160. M. H. Müser, Phys. Rev. Lett. 89, 224301 (2002). 10.1103/PhysRevLett.89.224301
161. A. F. Voter, Phys. Rev. Lett. 78, 3908 (1997). 10.1103/PhysRevLett.78. 3908
162. M. R. Sorensen and A. F. Voter, J. Chem. Phys. 112, 9599 (2000). 10.1063/1.481576
163. A. F. Voter, Phys. Rev. B 57, 13985 (1998). 10.1103/PhysRevB.57.R13985
164. S. Hara and J. Li, Phys. Rev. B 82, 184114 (2010). 10.1103/PhysRevB.82. 184114
165. D. Perez, B. P. Uberuaga, Y. Shim, J. G. Amar, and A. F. Voter, Ann. Rep. Comp. Chem. 5, 79 (2009). 10.1016/S1574-1400(09)00504-0
166. Y. Mishin, A. Suzuki, B. P. Uberuaga, and A. F. Voter, Phys. Rev. B 75, 224101 (2007). 10.1103/PhysRevB.75.224101
167. A. Martini, Y. Dong, D. Perez, and A. F. Voter, Tribol. Lett. 36, 63 (2009). 10.1007/s11249-009-9460-4
168. W. K. Kim and M. L. Falk, Modell. Simul. Mater. Sci. Eng. 18, 034003 (2010). 10.1088/0965-0393/18/3/034003
169. B. P. Uberuaga, S. J. Stuart, and A. F. Voter, Phys. Rev. B 75, 014301 (2007). 10.1103/PhysRevB.75.014301
170. Y. Dong, Q. Li, R. W. Carpick, and A. Martini, Tribol. Lubr. Tech. Feb. 17 (2012).
171. A. F. Voter, F. Montalenti, and T. C. Germann, Ann. Rev. Mater. Res. 32, 321 (2002). 10.1146/annurev.matsci.32.112601.141541
172. Q. Li, T. E. Tullis, D. Goldsby, and R. W. Carpick, Nature 480, 233 (2011). 10.1038/nature10589
173. D. Dietzel, M. Feldmann, H. Fuchs, U. D. Schwarz, and A. Schirmeisen, Appl. Phys. Lett. 95, 053104 (2009). 10.1063/1.3193551
174. D. Perez, Y. Dong, A. Martini, and A. F. Voter, Phys. Rev. B 81, 245415 (2010).
175. Y. Liu and I. Szlufarska, Phys. Rev. Lett. 109, 186102 (2012). 10.1103/PhysRevLett.109.186102
176. Z. Deng, A. Smolyanitsky, Q. Li, X. Q. Feng, and R. J. Cannara, Nature Mater. 11, 1032 (2012). 10.1038/nmat3452
177. S. Kwon, J. H. Ko, K. J. Jeon, Y. H. Kim, and J. Y. Park, Nano Lett. 12, 6043 (2012). 10.1021/nl204019k
178. M. Garvey, O. J. Furlong, M. Weinert, and W. T. Tysoe, J. Phys.: Condens. Matter 23, 265003 (2011). 10.1088/0953-8984/23/26/265003
179. M. Garvey, M. Weinert, and W. T. Tysoe, Wear 274, 281 (2012). 10.1016/j.wear.2011.09.008
180. M. Garvey, M. Weinert, and W. T. Tysoe, Tribol. Lett. 44, 67 (2011). 10.1007/s11249-011-9827-1
181. L. F. Wang, T. B. Ma, Y. Z. Hu, and H. Wang, Phys. Rev. B 86, 125436 (2012). 10.1103/PhysRevB.86.125436
182. J. Wang, F. Wang, J. Li, S. Wang, Y. Song, Q. Sun, and Y. Jia, Tribol. Lett. 48, 255 (2012). 10.1007/s11249-012-0015-8