Skip to main content

Stochastic Field Equation for Amorphous Surface Growth

  • Conference paper
  • First Online:
Stochastic Processes in Physics, Chemistry, and Biology

Part of the book series: Lecture Notes in Physics ((LNP,volume 557))

Abstract

A minimal stochastic field equation aimed at modeling the amorphous surface growth generated by physical vapor deposition is derived, analyzed, and related to the underlying microscopic mechanisms.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Tong W. M., Williams R. S. (1994) Kinetics of surface growth. Annu. Rev. Phys. Chem. 45, 401–438

    Article  ADS  Google Scholar 

  2. Barabasi A.-L., Stanley H. E. (1995) Fractal concepts in surface growth. Cambridge University Press

    Google Scholar 

  3. Marsili M., Maritan A., Toigo F., Banavar J. R. (1996) Stochastic growth equations and reparametrization invariance. Rev. Mod. Phys. 68, 963–983

    Article  ADS  Google Scholar 

  4. Reinker B., Moske M., Samwer K. (1997) Kinetic roughening of amorphous ZrAlCu film investigated in situ with scanning tunneling microscopy. Phys. Rev. B 56, 9887–9893

    Article  ADS  Google Scholar 

  5. Mayr S. G., Moske M., Samwer K. (1998) Early stages in amorphous Zr65Al7-5Cu27.5 film growth on HOPG. Europhys. Lett. 44, 465–470

    Article  ADS  Google Scholar 

  6. Mayr S. G., Moske M., Samwer K. (1999) Identification of key parameters by comparing experimental and simulated growth of vapor deposited amorphous Zr65Al7-5Cu27.5 films. Phys. Rev. B 60, 16950–16955

    Article  ADS  Google Scholar 

  7. Raible M., Mayr S. G., Linz S. J., Moske M., Hanggi P., Samwer K. (2000) Amorphous thin film growth: theory compared with experiment. Europhys. Lett. 50, 61–67

    Article  ADS  Google Scholar 

  8. Raible M., Linz S. J., Hanggi P. (2000) Amorphous thin film growth: minimal deposition equation, submitted for publication

    Google Scholar 

  9. Lai Z.-W., Das Sarma S. (1991) Kinetic growth with surface relaxation: continuum versus atomistic models. Phys. Rev. Lett. 66, 2348–2351

    Article  ADS  Google Scholar 

  10. Edwards S., Wilkinson D.R. (1982) The surface statistics of a granular aggregate. Proc. Roy. Soc. London A 381, 17–31

    MathSciNet  Google Scholar 

  11. Kardar M., Parisi G., Zhang Y. C. (1986) Dynamic scaling of growing interfaces. Phys. Rev. Lett. 56, 889–892

    Article  MATH  ADS  Google Scholar 

  12. van Dijken S., Jorritsma L. C., Poelsema B. (1999) Steering-enhanced roughening during metal deposition at grazing incidence. Phys. Rev. Lett. 82, 4038–4041

    Article  ADS  Google Scholar 

  13. Mullins W. W. (1957) Theory of thermal grooving. J. Appl. Phys. 28, 333–339

    Article  ADS  Google Scholar 

  14. Mullins W. W. (1959) Flattening of a nearly plane solid surface due to capillarity. J. Appl. Phys. 30, 77–83

    Article  ADS  Google Scholar 

  15. Villain J. (1992) Continuum models of crystal growth from atomic beams with and without desorption. J. Physique I 1, 19–42

    Article  ADS  Google Scholar 

  16. Pimpinelli A., Villain J. (1998) Physics of crystal growth. Cambridge University Press

    Google Scholar 

  17. Moske M. (1997) Mechanische Spannungen als Sonde fur Schichtwachstum und Schichtreaktionen. Habilitation thesis, Universitat Augsburg, unpublished

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Linz, S.J., Raible, M., Hānggi, P. (2000). Stochastic Field Equation for Amorphous Surface Growth. In: Freund, J.A., Pöschel, T. (eds) Stochastic Processes in Physics, Chemistry, and Biology. Lecture Notes in Physics, vol 557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45396-2_42

Download citation

  • DOI: https://doi.org/10.1007/3-540-45396-2_42

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41074-4

  • Online ISBN: 978-3-540-45396-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics