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The linear Ising magnet in a strong time-dependent field

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  • Berim, G.O.
  • Kessel, A.R.

Abstract

The behaviour of the one-dimensional Ising magnet (spin 12, the interaction of the nearest neighbour) at the instant change of the value and direction of the constant magnetic field is theoretically investigated. The dependence on the time of the spin averages〈Sxj〉t, 〈SxjSxj+m〉t, 〈SyjSyj+1〉t and 〈SzjSzj+1〉t are rigorously calculated, where Z is the axis of the exchange interaction anisotropy. The asymptotic behaviour of the density matrix at t → ∞ is analysed and the nonergodic behaviour of the Ising system and the existence of the reducing in its statistical description are pointed out.

Suggested Citation

  • Berim, G.O. & Kessel, A.R., 1982. "The linear Ising magnet in a strong time-dependent field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(3), pages 526-542.
    • Handle: RePEc:eee:phsmap:v:116:y:1982:i:3:p:526-542
    DOI: 10.1016/0378-4371(82)90175-3
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    References listed on IDEAS

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    1. Leahmae McCoy, 1971. "The Nursing Home as a Public Utility," Journal of Economic Issues, Taylor & Francis Journals, vol. 5(1), pages 67-76, March.
    2. Kessel, E. & Brenner, W.E. & Stathes, G.H., 1975. "Menstrual regulation in family planning services," American Journal of Public Health, American Public Health Association, vol. 65(7), pages 731-734.
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    Cited by:

    1. Berim, G.O. & Kessel, A.R., 1983. "The linear Ising magnet in a strong time-dependent field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(2), pages 603-615.
    2. Berim, G.O. & Kessel, A.R., 1983. "The linear Ising magnet in a strong time-dependent field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 119(1), pages 153-158.

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