Effect of fractal disorder on static friction in the Tomlinson model

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

Volumn 82, Issue 4, 2010, Pages

  Eriksen, Jon Alm ^a,b   Biswas, Soumyajyoti ^b   Chakrabarti, Bikas K ^b  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b SAHA INSTITUTE OF NUCLEAR PHYSICS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CANTOR SETS; SCALE INVARIANT; STATIC FRICTION; STATIC FRICTION FORCE; TOMLINSON; TWO CHAINS;

FRACTALS; TOPOLOGY; TRIBOLOGY;

STICTION;

EID: 78651322632     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.041124     Document Type: Article

References (25)

1. F. P. Bowden and D. Tabor, The Friction and Lubrication of Solids (Clarendon, Oxford, 1954).
2. B. N. J. Persson, Sliding Friction: Physical Principles and Application, 2nd ed. (Springer, Berlin, 2000).
3. O. M. Braun and A. G. Naumovets, Surf. Sci. Rep. 60, 79 (2006). 10.1016/j.surfrep.2005.10.004
4. E. Gnecco, R. Bennewitz, T. Gyalog, C. Loppacher, M. Bammerlin, E. Meyer, and H. J. Guntherodt, Phys. Rev. Lett. 84, 1172 (2000). 10.1103/PhysRevLett.84. 1172
5. Y. Sang, M. Dube, and M. Grant, Phys. Rev. Lett. 87, 174301 (2001). 10.1103/PhysRevLett.87.174301
6. S. Kajita, H. Washizu, and T. Ohomori, EPL 87, 66002 (2009). 10.1209/0295-5075/87/66002
7. R. Capozza, A. Vanossi, A. Vezzani, and S. Zapperi, Phys. Rev. Lett. 103, 085502 (2009). 10.1103/PhysRevLett.103.085502
8. T. Kawaguchi and H. Matsukawa, Phys. Rev. B 56, 4261 (1997). 10.1103/PhysRevB.56.4261
9. F. Heslot, T. Baumberger, B. Perrin, B. Caroli, and C. Caroli, Phys. Rev. E 49, 4973 (1994). 10.1103/PhysRevE.49.4973
10. C. M. Mate, G. M. McClelland, R. Erlandsson, and S. Chiang, Phys. Rev. Lett. 59, 1942 (1987). 10.1103/PhysRevLett.59.1942
11. M. Hirano, K. Shinjo, R. Kaneko, and Y. Murata, Phys. Rev. Lett. 78, 1448 (1997). 10.1103/PhysRevLett.78.1448
12. T. Baumberger, P. Berthoud, and C. Caroli, Phys. Rev. B 60, 3928 (1999). 10.1103/PhysRevB.60.3928
13. G. He, M. Muser, and M. Robbins, Science 284, 1650 (1999). 10.1126/science.284.5420.1650
14. G. A. Tomlinson, Philos. Mag. 7, 905 (1929).
15. M. Weiss and F. J. Elmer, Phys. Rev. B 53, 7539 (1996). 10.1103/PhysRevB.53.7539
16. Y. Frenkel and T. Kontorova, Zh. Eksp. Teor. Fiz. 8, 1340 (1938).
17. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
18. K. Falconer, Fractal Geometry and its Applications (Wiley, Chichester, 1999).
19. B. K. Chakrabarti and R. B. Stinchcombe, Physica A 270, 27 (1999). 10.1016/S0378-4371(99)00146-6
20. P. Bhattacharyya, Physica A 348, 199 (2005). 10.1016/j.physa.2004.09.014
21. P. Bhattacharya, B. K. Chakrabarti, Kamal, and D. Samanta, in Reviews of Nonlinear Dynamics and Complexity, edited by, H. G. Schuster, (Wiley-VCH, Weinheim, 2009), pp. 107-158.
22. T. L. Warren and D. Krajcinovic, Wear 196, 1 (1996). 10.1016/0043- 1648(95)06785-X
23. R. Buzio, C. Boragno, and U. Valbusa, Wear 254, 917 (2003). 10.1016/S0043-1648(03)00247-3
24. Y. J. Liu, D. D. Tieu, A. K. adn Wang, and D. Yuen, J. Mater. Process. Technol. 111, 142 (2001). 10.1016/S0924-0136(01)00541-6
25. J. B. Sokoloff, Phys. Rev. E 78, 036111 (2008). 10.1103/PhysRevE.78. 036111