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

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    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.
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