IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v92y1978i1p163-184.html
   My bibliography  Save this article

Transverse correlations in the inhomogeneous one-dimensional XY-model at infinite temperature

Author

Listed:
  • Perk, J.H.H.
  • Capel, H.W.

Abstract

A rigorous closed set of differential equations is derived for the correlations between x- and y-components of spins for the inhomogeneous XY-model with spin 12 in the high-temperature limit. The correlations can also be derived from a Lagrangian which describes the motion in a classical lattice problem.

Suggested Citation

  • Perk, J.H.H. & Capel, H.W., 1978. "Transverse correlations in the inhomogeneous one-dimensional XY-model at infinite temperature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(1), pages 163-184.
    • Handle: RePEc:eee:phsmap:v:92:y:1978:i:1:p:163-184
    DOI: 10.1016/0378-4371(78)90026-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437178900262
    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(78)90026-2?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. Perk, J.H.H. & Capel, H.W. & Zuilhof, M.J. & Siskens, Th.J., 1975. "On a soluble model of an antiferromagnetic chain with alternating interactions and magnetic moments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 81(3), pages 319-348.
    2. Braeter, H. & Kowalski, J.M., 1977. "On the thermodynamics of the random one-dimensional Ising chain in a transverse field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 87(2), pages 243-257.
    3. Jacob J. Kaufman, 1949. "Economics of Minimum Wages in Relation to the Agricultural Labor Market," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 31(4_Part_1), pages 716-725.
    4. van Hemmen, J.L. & Vertogen, G., 1975. "A note on Fermi lattice systems with bilinear hamiltonians," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 81(3), pages 391-410.
    5. Siskens, Th.J. & Capel, H.W. & Gaemers, K.J.F., 1975. "On a soluble model of an antiferromagnetic chain with Dzyaloshinsky interactions. I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 79(3), pages 259-295.
    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. Perk, J.H.H. & Capel, H.W., 1977. "Time-dependent xx-correlation functions in the one-dimensional XY-model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(2), pages 265-303.
    2. Perk, J.H.H. & Capel, H.W. & Siskens, Th.J., 1977. "Time correlation functions and ergodic properties in the alternating XY-chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(2), pages 304-325.
    3. Braeter, H. & Kowalski, J.M., 1977. "On the thermodynamics of the random one-dimensional Ising chain in a transverse field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 87(2), pages 243-257.
    4. Van Dongen, E.J. & Capel, H.W., 1976. "On the susceptibility of the one-dimensional Ising chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(2), pages 285-315.
    5. Capel, H.W. & Perk, J.H.H., 1977. "Autocorrelation function of the x-component of the magnetization in the one-dimensional XY-model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 87(2), pages 211-242.
    6. Jiménez Martínez, Mónica & Jiménez Martínez, Maribel, 2021. "Are the effects of minimum wage on the labour market the same across countries? A meta-analysis spanning a century," Economic Systems, Elsevier, vol. 45(1).
    7. Siskens, Th.J. & Capel, H.W., 1975. "On a soluble model of an antiferromagnetic chain with Dzyaloshinsky interactions. II," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 79(3), pages 296-311.

    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:92:y:1978:i:1:p:163-184. 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.