Slow fluctuations in enhanced Raman scattering and surface roughness relaxation

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 67, Issue 6, 2003, Pages 4-

  Lukatsky, D B ^a   Haran, G ^a   Safran, S A ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85037225830     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.67.062402     Document Type: Article

References (30)

1. A. Weiss and G. Haran, J. Phys. Chem. B 105, 12 348 (2001).
2. S. Nie and S.R. Emory, Science 275, 1102 (1997).
3. W.E. Doering and S. Nie, J. Phys. Chem. B 106, 311 (2002).
4. A.M. Michaels, M. Nirmal, and L.E. Brus, J. Am. Chem. Soc. 121, 9932 (1999).
5. E.J. Bjerneld, P. Johansson, and M. Kall, Single Mol. 1, 239 (2000).
6. We note that in the single-molecule SERS experiments in addition to intensity fluctuations, frequency fluctuations are usually observed (see, e.g., Ref. 3). These fluctuations were much less pronounced compared with the intensity fluctuations in Ref. 1. These large intensity fluctuations are the focus of our work.
7. M. Moskovits, Rev. Mod. Phys. 57, 783 (1985).
8. A. Otto, Surf. Sci. 138, 319 (1983).
9. S.A. Safran, Statistical Thermodynamics of Surfaces, Interfaces, and Membranes (Addison-Wesley, Reading, MA, 1994).
10. One can see this by expanding the full expression for the surface energy, (Formula presented) to the second order about the average roughness and calculating the amplitude of thermal fluctuations.
11. W.W. Mullins, J. Appl. Phys. 57, 333 (1957).
12. N. Israeli and D. Kandel, Phys. Rev. Lett. 88, 116103 (2002).
13. P.M. Chaikin and T.C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, 1995), Chap. 7.
14. W.W. Pai, Phys. Rev. Lett. 79, 3210 (1997).
15. N. Hirai, H. Tanaka, and S. Hara, Appl. Surf. Sci. 130-132, 506 (1998).
16. M.J. Mehl and D.A. Papaconstantopoulos, Phys. Rev. B 54, 4519 (1996).
17. Y.-S. Choi, J.-J. Kim, and S. Miyajima, Chem. Phys. Lett. 255, 45 (1996), and references therein.
18. L.A. Dick, J. Phys. Chem. B 106, 853 (2002).
19. U. Erturk, I. Pockrand, and A. Otto, Surf. Sci. 131, 367 (1983).
20. C. Douketis, J. Chem. Phys. 113, 11315 (2000).
21. The colloid surface is charged due to the presence of citrate ions in the solution.
22. R.E. Goldstein, A.I. Pesci, and V. Romeo-Rochin, Phys. Rev. A 41, 5504 (1990).
23. L.D. Landau and E.M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, Oxford, 1984).
24. U. Kreibig and M. Vollmer, Optical Properties of Metal Clusters (Springer-Verlag, Berlin, 1995).
25. D.J. Bergman and A. Nitzan, Chem. Phys. Lett. 88, 409 (1982).
26. A. Otto, Phys. Status Solidi A 188, 1455 (2001).
27. H.X. Xu, Phys. Rev. E 62, 4318 (2000).
28. S. Corni and J. Tomasi, J. Chem. Phys. 116, 1156 (2002).
29. J. Kallunki, M. Dube, and T. Ala-Nissila, Surf. Sci. 460, 39 (2000).
30. This result was derived under the assumption that the laser frequency is smaller than the frequency of the thermal noise. The thermal noise arising from phonons has a typical frequency of (Formula presented) which is about two orders of magnitude smaller than the laser frequency. However, very high-frequency thermal noise may arise from the coupling of the silver ions to the surface plasmons.