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New collective modes of interaction nature in inhomogeneous Ising networks

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Abstract

We propose a vertex formulation of the Ising model with inhomogeneous external field on multiconnected networks possessing a superbond structure. The related technique based on gauge degrees of freedom enables us to recognize new collective modes of interaction nature, which provide an exact solution of the inverse profile problem and an explicit form of a local free-energy functional on an extended magnetization-mode space. Application is made to a square strip.

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Author notes

  1. L. Šamaj

    Present address: Institute of Physics, Slovak Academy of Sciences, 842 28, Bratislava, Slovakia

Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, 10012, New York, New York

    L. Šamaj & J. K. Percus

  2. Physics Department, New York University, 10012, New York, New York

    J. K. Percus

Authors
  1. L. Šamaj
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  2. J. K. Percus
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Šamaj, L., Percus, J.K. New collective modes of interaction nature in inhomogeneous Ising networks. J Stat Phys 73, 235–251 (1993). https://doi.org/10.1007/BF01052759

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  • DOI: https://doi.org/10.1007/BF01052759

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