IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v122y1983i3p413-430.html
   My bibliography  Save this article

The limit diffusion mechanism of relaxation for spin systems

Author

Listed:
  • Papież, Lech

Abstract

The diffusion limit theorem for stochastic differential equations is applied to analyse the dynamical evolutions of spin systems. Bloch equations are derived and the stability of asymptotic evolutions is proved. The theory is applied to nuclear magnetic relaxation of two spins.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:122:y:1983:i:3:p:413-430
    DOI: 10.1016/0378-4371(83)90040-7
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437183900407
    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(83)90040-7?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. N.J.G Pounds, 1948. "The Discovery of China ClayThe Discovery of China Clay," Economic History Review, Economic History Society, vol. 1(1), pages 20-33, August.
    3. Hovey, Allan, 1955. "Britain and the Unification of Europe," International Organization, Cambridge University Press, vol. 9(3), pages 323-337, August.
    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. 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.
    2. Helbing, Dirk, 1992. "Interrelations between stochastic equations for systems with pair interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 181(1), pages 29-52.
    3. 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.
    4. 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.
    5. Braun, E., 1980. "A model of Brownian dynamics for colloidal suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(1), pages 325-342.
    6. Antoniou, I. & Melnikov, Yu. & Qiao, Bi, 1997. "Master equation for a quantum system driven by a strong periodic field in the quasienergy representation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(1), pages 97-114.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. McConnell, James, 1980. "Spectral densities of spherical harmonics for rotational Brownian motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(3), pages 539-546.
    13. Fain, Benjamin, 1980. "Rate processes in condensed media: Basic equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(1), pages 67-88.
    14. 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.
    15. Wangsness, R.K., 1975. "Minimum entropy production and logarithmic rate equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 79(5), pages 543-557.
    16. Łuczka, Jerzy, 1980. "Kinetic theory of resonance and relaxation in spin systems I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(2), pages 552-570.
    17. Gang, Hu, 1985. "Master equation without strict detailed balance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 586-592.
    18. 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.
    19. Loss, D. & Thellung, A., 1987. "The electrical conductivity for inhomogeneous electric fields by the Liouville operator method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 144(1), pages 17-28.
    20. Łuczka, Jerzy, 1982. "Kinetic theory of resonance and relaxation in spin systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 111(1), pages 240-254.

    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:122:y:1983:i:3:p:413-430. 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.