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Networks and Heterogeneous Media

2006, Volume 1, Issue 1: 85-107. doi: 10.3934/nhm.2006.1.85
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Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint

  • 1.
    DAEIMI, Università di Cassino, via Di Biasio, 03043 Cassino (FR)
  • 2.
    Dipartimento di Matematica, Università di Roma 'Tor Vergata', via della Ricerca Scientifica, 00133 Roma
  • 3.
    Dipartimento di Matematica e Applicazioni "R. Caccioppoli”, Università di Napoli Federico II, Via Cintia, 80126 Napoli
  • Received: 01 September 2005 Revised: 01 October 2005

  • Primary: 49S05, 49J45, 82B20, 82B24; Secondary: 49M25, 49Q20, 49Q25.

  • We provide a variational description of nearest-neighbours and next-to-nearest neighbours binary lattice systems. By studying the Γ-limit of proper scaling of the energies of the systems, we highlight phase and anti-phase boundary phenomena and show how they depend on the geometry of the lattice.

    Citation: Roberto Alicandro, Andrea Braides, Marco Cicalese. Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint[J]. Networks and Heterogeneous Media, 2006, 1(1): 85-107. doi: 10.3934/nhm.2006.1.85

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  • © 2006 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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