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On the susceptibility of the one-dimensional Ising chain

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  • Van Dongen, E.J.
  • Capel, H.W.

Abstract

The elements of the tensor of the susceptibility and the staggered susceptibility of a one-dimensional I Ising chain, with xx couplings between the spins are investigated in the presence of a magnetic field b parallel with or perpendicular to the x direction. Exact expressions are given for all susceptibilities, apart from the parallel susceptibilities in a transverse field which are evaluated by perturbation calculation. Special attention is paid to the conditions under which a susceptibility can have a minimum for b = 0. Furthermore, a system with weakly coupled Ising chains is considered on the basis of a model hamiltonian with separable interchain interactions.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:84:y:1976:i:2:p:285-315
    DOI: 10.1016/0378-4371(76)90003-0
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    References listed on IDEAS

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    1. Michael Chisholm, 1962. "Tendencies In Agricultural Specialization And Regional Concentration In Industry," Papers in Regional Science, Wiley Blackwell, vol. 10(1), pages 157-162, January.
    2. 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.
    3. M.S. Dalton & M.J. Chegwidden & D. Duncan, 1972. "WISTARIA HOUSE: Results of Transition of Alcoholics— from Treatment Unit to Community House," International Journal of Social Psychiatry, , vol. 18(3), pages 212-216, September.
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