Abstract
The kinetic coefficients in a growing surface are very different from their equilibrium values. Assuming deposition of particles from a beam on an initially flat surface of high symmetry orientation and neglecting evaporation, the kinetic coefficients K 0 and λ0 relevant at the beginning of the growth are evaluated in 1+1 and 2+1 dimensions. K 0 is the sum of three terms: i) a term coming from an “equilibrium” chemical potential, which vanishes with temperature but diverges at low flux in the case of a singular surface; ii) a term, whose origin is the random character of nucleation, which depends only on the beam intensity and the diffusion constant but is independent of the atomic distance; iii) a term deriving from the fluctuations of the diffusion current, which depends on the beam intensity, the diffusion length, and the atomic distance and, in 1+1 dimensions, only depends on the temperature through the diffusion length. The validity of a linear equation is limited to small slopes |m| < 1/ℓ c , where ℓ c is the maximum terrace width.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
W. Brenig, Statistical Theory of Heat, Nonequilibrium Phenomena (Springer, Berlin 1989).
I. Elkinani and J. Villain, J. de Physique I 1, 1991 (1994).
A.W. Hunt, C. Orme, Williams, B. G. Orr, and L.M. Sander, Europhys. Lett. 27, 611 (1994).
P. Politi and J. Villain, Phys. Rev. B 54, 5114 (1996).
W.K. Burton, N. Cabrera, and F. Frank, Phil. Trans. Roy. Soc. 243, 299 (1951).
J. Villain, J. de Physique I 1, 19 (1991).
J. Villain and A. Pimpinelli, Physique de la Croissance Cristalline, Eyrolles-Alea-Saclay, Paris (1994) and english version, to be published.
G. Ehrlich and F.G. Hudda, J. Chem. Phys. 44, 1039 (1966).
R.L. Schwoebel and E.J. Shipsey, J. Appl. Phys. 37, 3682 (1966).
M. Siegert and M. Plischke, Phys. Rev. Lett. 73, 1517 (1994).
G. Zinnsmeister, Thin solid films 2, 497 (1968); ibid., 7, 51 (1971).
J.A. Venables, G.D. Spiller, and M. Hanbücken, Rep. Prog. Phys. 47, 399 (1984).
S. Stoyanov and D. Kashchiev, in Current topics in material science Vol. 7, Ed. E. Kaldis (North Holland, 1981), p. 69.
J. Villain, A. Pimpinelli, L.H. Tang, and D. Wolf, J. de Physique I 2, 2107 (1992).
J.W. Evans and M.C. Bartelt, Surface Sci. 284, L437 (1993).
E. Somfai, D.E. Wolf, and J. Kertész, J. Physique I 6, 393 (1996).
T. Sun, H. Guo, and M. Grant, Phys. Rev. A 40, 6763 (1989).
J. Krug, Adv. Phys. (in press).
J. Amar and F. Family, (1995) preprint.
P. Stoltze, J. Phys.: Condens. Matter 6, 9495 (1994).
E.E. Gruber and W.W. Mullins, J. Phys. Chem. Solids 28, 875 (1967).
V.L. Pokrovsky and A.L. Talapov, Phys. Rev. Lett. 42, 65 (1979).
F.D.M. Haldane and J. Villain, J. Physique 42,1673 (1981).
D.D. Vvedensky, A. Zangwill, C.N. Luse, and M.R. Wilby, Phys. Rev. E 48, 852 (1993).
J. Krug, H.T. Dobbs and S. Majaniemi, Z. Phys. B 97, 281 (1995).
S. Majaniemi, T. Ala-Nissila, and J. Krug, Phys. Rev. B 53, 8071 (1996).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this chapter
Cite this chapter
Politi, P., Villain, J. (1997). Kinetic Coefficients in a System Far from Equilibrium. In: Tringides, M.C. (eds) Surface Diffusion. NATO ASI Series, vol 360. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0262-7_15
Download citation
DOI: https://doi.org/10.1007/978-1-4899-0262-7_15
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-0264-1
Online ISBN: 978-1-4899-0262-7
eBook Packages: Springer Book Archive