Advertisement

Brownian motion and condensed matter physics classical and quantum diffusion

  • N. Kumar
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 184)

Keywords

Brownian Motion Wave Packet Test Particle Wiener Process Langevin Equation 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    S. Chandrasekhar, Rev. Mod. Phys. 15, 1 (1943). See also the reprint collection ‘Noise and Stochastic Processes’ ed. Nelson Wax (Dover — New York, 1954).Google Scholar
  2. 2.
    R. Kubo, J. Phys. Soc. Japan 12, 570 (1957) also Rep. Prog. Phys. 29, 255 (1966).Google Scholar
  3. 3.
    Y. Pomeau and P.Résibois, Phys. Rep. 19, 63 (1975).Google Scholar
  4. 4.
    R.F. Fox, Phys. Rep. 48, 179 (1978).Google Scholar
  5. 5.
    G. Wyllie, Phys. Rep. 61, 327 (1970).Google Scholar
  6. 6.
    N.G. van Kampen, Phys. Rep. 24 C, 172 (1976).Google Scholar
  7. 7.
    Edward Nelson, Dynamical Theories of Brownian Motion (Mathematical Notes, Princeton University Press, 1967).Google Scholar
  8. 8.
    “New Stochastic Methods in Physics”, ed. C.De Witt — Morette and K.D. Elworthy, Phys. Rep. 77 (1981).Google Scholar
  9. 9.
    M.D. Donsker and S.R.S. Varadhan, Comm. Pure Appl. Math. 28, 525 (1975).Google Scholar
  10. 10.
    B.J. Alder and T.E. Wainwright, Phys. Rev. A1, 18 (1970).Google Scholar
  11. 11.
    R. Zwanzig, Ann. Rev. Phys. Chem. 16, 67 (1955).Google Scholar
  12. 12.
    H. Mori, Prog. Theor. Phys. 33, 423 (1965), also 34, 399 (1965).Google Scholar
  13. 13.
    P. Résibois and J. Lebowitz, Phys. Rev. 139, 1101 (1965).Google Scholar
  14. 14.
    G.W. Ford, M. Kac and P. Mazur, J. Math. Phys. 6, 504 (1965).Google Scholar
  15. 15.
    Benny Carmeli and Abraham Nitzan, Phys. Rev. Lett. 49, 423 (1982).Google Scholar
  16. 16.
    E.A.Novikov, Zh. Eksp. Teor. Fiz. 47, 1919 (1964) [Sov. Phys. JETP 20, 1990 (1965)].Google Scholar
  17. 17.
    H. Haken and P. Reinecker, Z. Phys. 249, 253 (1972).Google Scholar
  18. 18.
    A.A. Ovchinnikov and N.S. Erikhman, Zh. Eksp. Teor. Fiz. 69, 1474 (1974) [Sov. Phys. JETP 40, 733 (1974)].Google Scholar
  19. 19.
    A. Madhukar and W. Post, Phys. Rev. Lett. 39, 1424 (1977).Google Scholar
  20. 20.
    H. Metiu, K. Kitahara, R. Silbey and J. Ross, Chem. Phys. Lett. 43, 189 (1976).Google Scholar
  21. 21.
    Y. Inaba, J. Phys. Soc. Japan, 50, 2473 (1981).Google Scholar
  22. 22.
    A.M. Jayannavar and N. Kumar, Phys. Rev. Lett. 48, 553 (1982).Google Scholar
  23. 23.
    See, e.g. P. Havas, Nuovo Cimento Suppl. 5, 363 (1967).Google Scholar
  24. 24.
    H. Dekker, Phys. Rep. 80, 1 (1981).Google Scholar
  25. 25.
    R.W. Hasse, Rep. Prog. Phys. 41, 1027 (1978).Google Scholar
  26. 26.
    G.J. Papadopoulos, Phys. Rev. D11, 2870 (1976).Google Scholar
  27. 27.
    H. Bateman, Phys. Rev. 38, 815 (1931).Google Scholar
  28. 28.
    E. Kanai, Prog. Theor. Phys. 3, 440 (1948).Google Scholar
  29. 29.
    Wesley, E. Brittin. Phys. Rev. 77, 396 (1950).Google Scholar
  30. 30.
    R. Alicki and J. Messer, J. Phys. A 15, 3543 (1982).Google Scholar
  31. 31.
    G. Iche and P. Nozieres, Physica, 91A, 485 (1978).Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • N. Kumar
    • 1
  1. 1.Physics DepartmentIndian Institute of ScienceBangaloreIndia

Personalised recommendations