No or Diffuse Phase-Transition With Temperature in One-dimensional Ising Model?
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The One
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Abstract For nearly a century since Ising model was proposed in 1925, it is agreed that there is no phase-transition with temperature in the one-dimensional based on no global-spontaneous-magnetization in whole temperature region. In this letter, the exact calculation of local-spontaneous-magnetization shows that a diffuse phase-transition with temperature occurs in one-dimensional Ising model. In addition, although diffuse phase-transition phenomenon is common in the systems of heterogeneous-components and small-sizes etc., there is no accurate prediction of corresponding theoretical models so far, so the present works lay the theoretical foundation of this kind of phase-transition.
1982 ◽
Vol 84
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pp. 87-101
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2007 ◽
Vol 50
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pp. 285
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1970 ◽
Vol 29
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pp. 69-73
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2002 ◽
Vol 74
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pp. 113-120
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1997 ◽
Vol 9
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pp. 9445-9456
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