Signal Processing and Control in Nonlinear Nanomechanical Systems

  • R.L. Badzey
  • G. Zolfagharkhani
  • S.-B. Shim
  • A. Gaidarzhy
  • P. Mohanty
Part of the Understanding Complex Systems book series (UCS)


Bestriding the realms of classical and quantum mechanics, nanomechanical structures offer great promise for a huge variety of applications, from computer memory elements [1] and ultra-fast sensors to quantum computing. Intriguing as these possibilities are, there still remain many important hurdles to overcome before nanomechanical structures approach anything close to their full potential. With their high surface-to-volume ratios and sub-micron dimensions, nanomechanical structures are strongly affected by processing irregularities and susceptible to nonlinear effects. There are several ways of dealing with nonlinearity: exceptional fabrication process control in order to minimize the onset of nonlinear effects or taking advantage of the interesting and oftentimes counterintuitive consequences of nonlinearity.


Resonance Frequency Noise Source Spring Constant Stochastic Resonance Nonlinear Regime 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Badzey R, Zolfagharkhani G, Gaidarzhy A, Mohanty P (2004) Appl. Phys. Lett. 85:3587–3589.CrossRefGoogle Scholar
  2. 2.
    Benzi R, Sutera A, Vulpiani A (1981) J. Phys. A 14:L453–L457.CrossRefGoogle Scholar
  3. 3.
    McNamara B, Wiesenfeld K, Roy R (1988) Phys. Rev. Lett. 60:2626–2629.CrossRefGoogle Scholar
  4. 4.
    Douglass J, Wilkens L, Pantazelou E, Moss F (1993) Nature 365:337–340.CrossRefGoogle Scholar
  5. 5.
    Levin J, Miller J (1996) Nature 380:165–168.CrossRefGoogle Scholar
  6. 6.
    Rouse R, Han S, Lukens J (1995) Appl. Phys. Lett. 66:108–110.CrossRefGoogle Scholar
  7. 7.
    Spano M, Wun-Fogle M, Ditto W (1992) Phys. Rev. A 46:R5253–R5256.CrossRefGoogle Scholar
  8. 8.
    Stambaugh C, Chan H-B (2004) cond-mat 0405791.Google Scholar
  9. 9.
    Fauve S, Heslot S (1983) Phys. Lett. 97A:5.Google Scholar
  10. 10.
    Alley R, Anandakrishnan S, Jung P (2001) Paleoceanography 16:190–198.CrossRefGoogle Scholar
  11. 11.
    Lee I Y, Liu X, Kosko B, Zhou C (2003) NanoLetters 3:1683–1686.Google Scholar
  12. 12.
    Wellens T, Buchleitner A (2000) Phys. Rev. Lett. 84:5118–5121.CrossRefGoogle Scholar
  13. 13.
    Goychuk I, Hanggi P (1999) Phys. Rev. E 59:5137–5141.CrossRefGoogle Scholar
  14. 14.
    Grifoni M, Hanggi P (1996) Phys. Rev. Lett. 76:1611–1614.CrossRefGoogle Scholar
  15. 15.
    Lofstedt R, Coppersmith S (1994) Phys. Rev. Lett. 72:1947–1950.CrossRefGoogle Scholar
  16. 16.
    Benzi R, Sutera A, Vulpiani A (1985) Journ. Phys. A 18:2239–2245.CrossRefGoogle Scholar
  17. 17.
    Stephens G J, Calzetta E, Hu B.-L, Ramsey S (1999) Phys. Rev. D 59:045009.CrossRefGoogle Scholar
  18. 18.
    Badzey R, Zolfagharkhani G, Gaidarzhy A, Mohanty P (2005) Appl. Phys. Lett. 86:023106.CrossRefGoogle Scholar
  19. 19.
    Feynman R, Leighton R, Sands M (1989) The Feynman Lectures on Physics Vol. 1 Ch. 38 Addison-Wesley, Redwood, CA.Google Scholar
  20. 20.
    Mohanty P, Harrington D, Ekinci K, Yang Y, Murphy M, Roukes M (2002) Phys. Rev. B 66:085416.CrossRefGoogle Scholar
  21. 21.
    Aldridge J, Cleland A, (2005) Phys. Rev. Lett. 94:156403.CrossRefGoogle Scholar
  22. 22.
    Badzey R, Mohanty P (2005) Nature 437:995–998.CrossRefGoogle Scholar
  23. 23.
    Gaidarzhy A, Zolfagharkhani G, Badzey R, Mohanty P (2005) Phys. Rev. Lett. 94:030402.CrossRefGoogle Scholar
  24. 24.
    Gaidarzhy A, Zolfagharkhani G, Badzey R, Mohanty P (2005) Appl. Phys. Lett. 86:254103.CrossRefGoogle Scholar
  25. 25.
    Dykman M, McClintock PVE, Mannella R, Stocks N (1990) JETP 52:780–782.Google Scholar
  26. 26.
    Morillo M, Gomez-Ordonez J (1995) Phys. Rev. E 51:999–1003.CrossRefGoogle Scholar
  27. 27.
    Inchiosa M, Bulsara A, Gammaitoni L (1997) Phys. Rev. E 55:4049–4056.CrossRefGoogle Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • R.L. Badzey
    • 1
  • G. Zolfagharkhani
    • 1
  • S.-B. Shim
    • 1
  • A. Gaidarzhy
    • 1
  • P. Mohanty
    • 1
  1. 1.Department of PhysicsBoston UniversityBostonUSA

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