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On Criticality for Competing Influences of Boundary and External Field in the Ising Model

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Abstract

We continue a study of Schonmann (1994), Schonmann and Shlosman (1996), and Greenwood and Sun (1997) regarding the competing influences of boundary conditions and external field for the Ising model. We find a critical point B 0 in the competing influences for low temperature in dimension d 2A7E; 2.

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Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada;

    Priscilla E. Greenwood & Jiaming Sun

Authors
  1. Priscilla E. Greenwood
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  2. Jiaming Sun
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Greenwood, P.E., Sun, J. On Criticality for Competing Influences of Boundary and External Field in the Ising Model. Journal of Statistical Physics 92, 35–45 (1998). https://doi.org/10.1023/A:1023039401489

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  • DOI: https://doi.org/10.1023/A:1023039401489

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