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The border model in one dimension

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Abstract

The magnetic susceptibility is studied by the methods of series analysis for the one-dimensional border model (a special case of the continuous-spin Ising model). The structure of this model is analyzed and two conjugate pairs of singularities are found near the real (physical) temperature axis. All the numerical results are consistent with the previously known rigorous results, but do not add to the knowledge of the critical properties.

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Authors and Affiliations

  1. Theoretical Division, Los Alamos National Laboratory, University of California, 87545, Los Alamos, New Mexico

    George A. Baker Jr. & J. D. Johnson

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  1. George A. Baker Jr.
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  2. J. D. Johnson
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Baker, G.A., Johnson, J.D. The border model in one dimension. J Stat Phys 58, 467–474 (1990). https://doi.org/10.1007/BF01112756

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