IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v175y1991i1p87-113.html
   My bibliography  Save this article

On the diffusion of passive impurities in random flows

Author

Listed:
  • Chechetkin, V.R.
  • Lutovinov, V.S.
  • Samokhin, A.A.

Abstract

The theory with high-order velocity cumulants (non-Gaussian statistics) for the problem of turbulent diffusion is considered. The higher velocity cumulants play an important role in the case of Kolmogorov turbulence and are of fundamental interest in the problem of the turbulent dynamo. In the reduced quasi-Gaussian approximation our results are compared with those obtained by the other authors. Both one-and two-particle turbulent transports are discussed. We give the estimate of the Obukhov-Corrsin constant for the stationary structure function of concentration fluctuations. It is also shown that for Komogorov turbulence the negative correction to purely convective transport for the one-particle turbulent diffusion at short times has an exponent equal to 83 rather than 3, as has been suggested earlier.

Suggested Citation

  • Chechetkin, V.R. & Lutovinov, V.S. & Samokhin, A.A., 1991. "On the diffusion of passive impurities in random flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 175(1), pages 87-113.
  • Handle: RePEc:eee:phsmap:v:175:y:1991:i:1:p:87-113
    DOI: 10.1016/0378-4371(91)90270-M
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719190270M
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/0378-4371(91)90270-M?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Rodríguez, R.F. & Van Kampen, N.G., 1976. "Systematic treatment of fluctuations in a nonlinear oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(2), pages 347-362.
    2. Chechetkin, V.R. & Lutovinov, V.S., 1987. "Dynamics of dilute spin systems in random fluctuating magnetic fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 145(3), pages 498-532.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mohanty, U. & Shuler, K.E. & Oppenheim, I., 1982. "On the exact and phenomenological Langevin equations for a harmonic oscillator in a fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(1), pages 1-20.
    2. Chvosta, Petr, 1991. "Exact solution of a stochastic dimer problem with single-site energy modulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 178(1), pages 168-194.
    3. Kondepudi, D.K. & Nelson, G.W., 1984. "Chiral-symmetry-breaking states and their sensitivity in nonequilibrium chemical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 125(2), pages 465-496.
    4. West, B.J. & Bulsara, A.R. & Lindenberg, K. & Seshadri, V. & Shuler, K.E., 1979. "Stochastic processes with non-additive fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 97(2), pages 211-233.
    5. Belyi, V.V. & Klimontovich, Yu.L., 1979. "On the kinetic theory of Brownian motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 97(3), pages 577-588.
    6. Stewart, Glen R., 1982. "Long-time behavior of a non-Markovian Brownian oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(3), pages 519-530.
    7. Papież, Lech, 1983. "The limit diffusion mechanism of relaxation for spin systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 122(3), pages 413-430.
    8. Williams, M.M.R., 1984. "The influence of random fluctuations on the behaviour of an aerosol," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 125(1), pages 105-123.
    9. Gang, Hu, 1985. "Master equation without strict detailed balance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 586-592.
    10. Henery, R.J., 1982. "The short-time evolution of a non-linear oscillator driven by white noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(1), pages 321-330.
    11. Gorini, Vittorio & Verri, Maurizio & Frigerio, Alberto, 1989. "Non-markovian behavior in low-temperature damping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 161(2), pages 357-384.
    12. Garrido, L. & Sancho, J.M., 1982. "Ordered cumulant technique and differential equations for probability density," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(3), pages 479-489.
    13. Dekker, H., 1980. "On the path integral for diffusion in curved spaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(3), pages 586-596.
    14. Shapiro, V.E. & Loginov, V.M., 1978. "“Formulae of differentiation” and their use for solving stochastic equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 91(3), pages 563-574.
    15. Lindenberg, Katja & West, Bruce J., 1984. "Finite correlation time effects in nonequilibrium phase transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(1), pages 25-47.
    16. Kagermann, H., 1982. "Stochastic equations arising from test particle problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(1), pages 199-206.
    17. Brey, J.J. & Casado, J.M. & Morillo, M., 1984. "Renormalized equations for a weakly nonlinear Duffing oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(2), pages 481-496.
    18. Barcons, F.X. & Garrido, L., 1983. "Systems under the influence of white and colored poisson noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(1), pages 212-226.
    19. Dekker, H., 1991. "Multisite spin hopping analysis of multilevel dissipative quantum tunneling and coherence at finite temperatures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 178(2), pages 289-331.
    20. Dekker, H., 1980. "Critical dynamics the expansion of the master equation including a critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(1), pages 55-79.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:175:y:1991:i:1:p:87-113. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.