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The boolean average dynamics in one-dimensional lattice models with antiferromagnetic interaction

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Abstract

We consider the Hubbard model of a one-dimensional lattice gas with antiferromagnetic interaction. The energy of the model is minimized using the Boolean average. For an arbitrary initial distribution of gas particles on the line, we show that the dependence of the gas concentration on the chemical potential is described by the Cantor stairs.

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Authors and Affiliations

  1. Chelyabinsk State Pedagogical University, Chelyabinsk, Russia

    L. K. Bakalinskii

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  1. L. K. Bakalinskii
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 117, No. 3, pp. 435–441, December, 1998.

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Bakalinskii, L.K. The boolean average dynamics in one-dimensional lattice models with antiferromagnetic interaction. Theor Math Phys 117, 1453–1458 (1998). https://doi.org/10.1007/BF02557184

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  • DOI: https://doi.org/10.1007/BF02557184

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