The stochastic dynamics of an array of atomic force microscopes in a viscous fluid

International Journal of Non-Linear Mechanics

Volumn 42, Issue 4, 2007, Pages 690-696

  Clark, M T ^a   Paul, M R ^a  

^a State University   (United States)

Author keywords

Atomic force microscope; Brownian noise; Fluid coupling

Indexed keywords

ATOMIC FORCE MICROSCOPY; BIOSENSORS; BROWNIAN MOVEMENT; COMPUTER SIMULATION; NUMERICAL METHODS; STOCHASTIC CONTROL SYSTEMS;

FLUID COUPLING; HYDRODYNAMIC CORRELATIONS; STOCHASTIC CANTILEVER DYNAMICS;

VISCOUS FLOW;

EID: 34249908615     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2006.10.003     Document Type: Article

References (34)

1. Bustamante C., Macosko J., and Wuite G. Nature Rev. 1 (2000) 130
2. M.L. Roukes, Nanoelectromechanical systems, condmat/0008187, 2000.
3. Craighead H. Science 290 (2000) 1532
4. Arlett J.L., Maloney J.R., Gudlewski B., Muluneh M., and Roukes M.L. Nano Lett. 6 (2006) 1000
5. Binnig G., Quate C.F., and Gerber C. Phys. Rev. Lett. 56 (1986) 930
6. R. Garcia, R. Perez, Surf. Sci. Rep. (2002) 197-301.
7. Giessibl F.J. Rev. Mod. Phys. 75 (2003) 949
8. Hansma P.K., Cleveland J.P., Radmacher M., Walters D.A., Hillner P.E., Benzanilla M., Fritz M., Vie D., Hansma H.G., Prater C.B., et al. Appl. Phys. Lett. 64 (1994) 1738
9. Radmacher M., Fritz M., Hansma H., and Hansma P.K. Science 265 (1994) 1577
10. Thomson N.H., Fritz M., Radmacher M., Cleveland J., Schmidt C.F., and Hansma P.K. Biophys. J. 70 (1996) 2421
11. Viani M.B., Schaffer T.E.S., and Chand A. J. Appl. Phys. 86 5 (1999) 2258
12. Paul M.R., and Cross M.C. Phys. Rev. Lett. 92 23 (2004) 235501
13. J.L. Arlett, M.R. Paul, J. Solomon, M.C. Cross, S.E. Fraser, M.L. Roukes, in: Controlled Nanoscale Motion in Biological and Artificial Systems, Nobel Symposium, vol. 131, Springer, Berlin, 2005.
14. Martin Y., Williams C.C., and Wickramasinghe H.K. J. Appl. Phys. 61 (1987) 4723
15. J. Cleveland, S. Manne, D. Bocek, H.P.K., Rev. Sci. Instrum. 64 (1993) 403.
16. Bao G., and Suresh S. Nature Mater. 2 (2003) 715
17. Meiners J.C., and Quake S.R. Phys. Rev. Lett. 82 10 (1998) 2211
18. Meiners J.C., and Quake S.R. Phys. Rev. Lett. 84 21 (2000) 5014
19. Schaaf S.A., and Chambre P.L. Flow of Rarefied Gases (1961), Princeton University Press, Princeton
20. Karniadakis G., Beskok A., and Aluru N. Micro Flows (2001), Springer, Berlin
21. Landau L.D., and Lifshitz E.M. Theory of Elasticity (1959), Butterworth Heinemann, London
22. Panton R.L. Incompressible Fluid Flow (2005), Wiley, New York
23. Sader J.E. J. Appl. Phys. 84 (1998) 64
24. Rosenhead L. Laminar Boundary Layers (1963), Oxford University Press, Oxford
25. Butt H.-J., and Jaschke M. Nanotechnology 6 (1995) 1
26. M.R. Paul, M. Clark, M.C. Cross, Nanotechnology 17 (2006) 4502.
27. CFD Research Corporation, 215 Wynn Dr. Huntsville, AL, USA.
28. H.Q. Yang, V.B.Makhijani, AIAA-94-0179, 1994, pp. 1-10.
29. Chon J.W.M., Paul M., and Sader J.E. J. Appl. Phys. 87 8 (2000) 3978
30. Solomon J., and Paul M. Biophys J. 90 (2006) 1842
31. NanoScience Instruments, store.nanoscience.com.
32. Albrecht T.R., and Quate C.F. J. Appl. Phys. 62 (1987) 2599
33. Green C.P., and Sader J.E. Phys. Fluids 17 (2005) 073102
34. Clarke R.J., Cox S.M., Williams P.M., and Jensen O.E. J. Fluid Mech. 545 (2005) 397