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Part of the book series: Graduate Texts in Contemporary Physics ((GTCP))

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Abstract

All surfaces are rough, and the roughness has strong effects on many interesting problems, like wetting, adhesion, friction, light scattering, and surface growth, that are at the forefront of science and technology. The noise caused by the irregular fluctuations on a rough surface is a fundamental source of disorder. It plays an important role in the investigation of the physical properties of rough surfaces and interfaces. The quenched noise, which does not change with time, is usually more important than that of temporal noise [1–3] and will be the main focus in this chapter. The use of fractal concepts in understanding rough surface is increasingly important these days. The self-affine roughness exponent (α < 1) not only defines the scaling properties of the surface, but also plays an essential role in describing the structure-property relationships of interfaces.

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References

  1. A.-L. Barabasi and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge Univ., New York, 1995).

    Book  MATH  Google Scholar 

  2. M. Marsili, A. Maritan, F. Toigo, and J. R. Banavar, Rev. Mod. Phys. 68, 963 (1996).

    Article  ADS  Google Scholar 

  3. T. Halpin-Healy and Y.-C. Zhang, Phys. Rep. 254, 215 (1995).

    Article  ADS  Google Scholar 

  4. J.-F. Gouyet, M. Rosso, and B. Sapoval, in Fractals and Disordered Systems, A. Bunde and S. Havlin, Eds. (Springer-Verlag, Berlin, 1991).

    Google Scholar 

  5. R. Chiarello, V. Panella, J. Krim, and C. Thompson, Phys. Rev. Lett. 67, 3408 (1991).

    Article  ADS  Google Scholar 

  6. T. S. Chow, Phys. Rev. Lett. 79, 1086 (1997).

    Article  ADS  Google Scholar 

  7. J. Feder, Fractals (Plenum, New York, 1989).

    MATH  Google Scholar 

  8. L. P. Kadanoff, Phys. Today, 36 (12), 46 (1983).

    Article  ADS  Google Scholar 

  9. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Addison-Wesley, Reading, MA, 1959).

    Google Scholar 

  10. J. F. Joanny and P. G. de Gennes, J. Chem. Phys. 81, 552 (1984).

    Article  ADS  Google Scholar 

  11. P. G. de Gennes, Rev. Mod. Phys. 57, 827 (1985)

    Article  ADS  Google Scholar 

  12. P. G. de Gennes, Soft Interfaces (Cambridge Univ., New York, 1997).

    Google Scholar 

  13. W. A. Zisman, in Contact Angle, Wettability and Adhesion, F. M. Fowkes, Ed. (Advances in Chemistry Series, No. 43, American Chemical Society, Washington, D.C., 1964).

    Google Scholar 

  14. R. N. Wenzel, J. Phys. Colloid Chem. 53, 1466 (1949).

    Article  Google Scholar 

  15. A. O. Parry, P. S. Swain, and J. A. Fox, J. Phys: Condens. Matter 8, L659 (1996).

    Article  ADS  Google Scholar 

  16. T. S. Chow, J. Phys: Condens. Matter 10, L445 (1998).

    Article  ADS  Google Scholar 

  17. B. W Cherry and C. M. Homes, J. Colloid Interface Sci. 29, 174 (1969).

    Article  Google Scholar 

  18. H. Schoniorn, H. I. Frisch, and T. K. Kwei, J. Appl. Phys. 37, 4967 (1966).

    Article  ADS  Google Scholar 

  19. F. Ree, Teresa Ree, T. Ree, and H. Eyring, Advan. Chem. Phys. 4, 1 (1962).

    Article  MathSciNet  Google Scholar 

  20. J. F. Douglas, H. E. Johnson, and S. Granick, Science 262, 2010 (1993).

    Article  ADS  Google Scholar 

  21. J. N. Israelachvili, Fundamentals of Friction: Macroscopic and Microscopic Processes, I. L. Singer and H. M. Pollock, Eds. (Kluwer, The Netherlands, 1992), p. 351.

    Google Scholar 

  22. L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Pergamon, Oxford, 1959).

    Google Scholar 

  23. M. W. Pascoe and D. Tabor, Proc. Roy. Soc. A 235, 210 (1956).

    Article  ADS  Google Scholar 

  24. K. Tanaka, J. Phys. Soc. Japan 16, 2003 (1961).

    Article  Google Scholar 

  25. N. L. Muskhelishvili, Some Basic Problems of Mathematical Theory of Elasticity (Noordhoff, Groningen, 1953).

    Google Scholar 

  26. T. S. Chow, Wear 51, 355 (1978).

    Article  Google Scholar 

  27. S. Granick, Phys. Today 52 (7), 26 (1999).

    Article  Google Scholar 

  28. F. W. Billmeyer, Jr., and M. Saltzman, Principles of Color Technology (Wiley, New York, 1981).

    Google Scholar 

  29. J. A. Ogilvy, Theory of Wave Scattering from Random Rough Surfaces (Institute of Physics Publishing, Bristol, 1991).

    MATH  Google Scholar 

  30. H.-N. Yang, T.-M. Lu, and G.-C. Wang, Phys. Rev. Lett. 68, 2612 (1992).

    Article  ADS  Google Scholar 

  31. S. F. Edwards and D. R. Wilkinson, Proc. R. Soc. (London) A 381, 17 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  32. M. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. 56, 889 (1986).

    Article  ADS  MATH  Google Scholar 

  33. J. Mahanty and B. W. Ninham, Dispersion Forces (Academic, New York, 1976).

    Google Scholar 

  34. E. M. Lifshitz, Soviet Phys. JETP 2, 73 (1956).

    MathSciNet  Google Scholar 

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© 2000 Springer-Verlag New York, Inc.

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Chow, T.S. (2000). Rough Surfaces and Interfaces. In: Mesoscopic Physics of Complex Materials. Graduate Texts in Contemporary Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2108-1_8

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  • DOI: https://doi.org/10.1007/978-1-4612-2108-1_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7417-9

  • Online ISBN: 978-1-4612-2108-1

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