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Interfaces, Modulated Phases and Textures in Lattice Systems

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Abstract

We introduce a class of n-dimensional (possibly inhomogeneous) spin-like lattice systems presenting modulated phases with possibly different textures. Such systems can be parameterized according to the number of ground states, and can be described by a phase-transition energy which we compute by means of variational techniques. Degeneracies due to frustration are also discussed.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma ‘Tor Vergata’, via della Ricerca Scientifica, 00133, Rome, Italy

    Andrea Braides

  2. Zentrum Mathematik-M7, Technische Universität München, Boltzmannstrasse 3, 85748, Garching, Germany

    Marco Cicalese

Authors
  1. Andrea Braides
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  2. Marco Cicalese
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Correspondence to Andrea Braides.

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Braides, A., Cicalese, M. Interfaces, Modulated Phases and Textures in Lattice Systems. Arch Rational Mech Anal 223, 977–1017 (2017). https://doi.org/10.1007/s00205-016-1050-7

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  • DOI: https://doi.org/10.1007/s00205-016-1050-7

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