Brownian friction of gas molecules on the graphite surface

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 16, 1999, Pages 10992-10995

  Boutchko, R D ^a   Bruch, L W ^a  

^a Wisconsin Electric Machines and Power Electronics Consortium   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243445103     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.10992     Document Type: Article

References (15)

1. For a recent overview of friction and related topics, see B. N. J. Persson, Sliding Friction. Physical Principles and Applications (Springer-Verlag, Berlin, 1998).
2. E. D. Smith, M. O. Robbins, and M. Cieplak, Phys. Rev. B 54, 8252 (1996).
3. M. S. Tomassone, J. B. Sokoloff, A. Widom, and J. Krim, Phys. Rev. Lett. 79, 4798 (1997).
4. N. D. Shrimpton and W. A. Steele, Phys. Rev. B 44, 3297 (1991).
5. L. W. Bruch and F. Y. Hansen, Phys. Rev. B 55, 1782 (1997).
6. F. Y. Hansen and L. W. Bruch (unpublished).
7. B. N. J. Persson and R. Rydberg, Phys. Rev. B 32, 3586 (1985).
8. G. Benedek and G. Onida, Phys. Rev. B 47, 16 471 (1993).
9. L. W. Bruch, M. W. Cole, and E. Zaremba, Physical Adsorption: Forces and Phenomena (Clarendon Press, Oxford, 1997).
10. F. Reif, Statistical Physics (McGraw-Hill, New York, 1967).
11. More generally, the quantization of substrate normal modes leads to a factor (Formula presented) in the sum in Eq. (4). In the present applications, for temperatures of at least 50 K, the dominant contribution to (Formula presented) comes from low-frequency modes for which the factor (Formula presented) is close to 1. At 50 K, the effect in (Formula presented) is less than 10%. Hence (Formula presented) is only weakly dependent on temperature.
12. For the graphite slab of N layers, e is a complex vector of (Formula presented) components because there are two carbon atoms in the unit cell in each layer.
13. The curvature of (Formula presented) is estimated using the S-mode (Formula presented) frequencies listed in Ref. 5.
14. L. W. Bruch, in Phase Transitions in Surface Films 2, edited by H. Taub, G. Torzo, H.J. Lauter, and S.C. Fain, Jr. (Plenum, New York, 1991), pp. 67–82.
15. G. Wahnström, Surf. Sci. 159, 311 (1985).