Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint

Roberto Alicandro; Andrea Braides; Marco Cicalese

doi:10.3934/nhm.2006.1.85

Article Contents

2006, Volume 1, Issue 1: 85-107. Doi: 10.3934/nhm.2006.1.85

This issue Previous Article Numerical approximations of a traffic flow model on networks Next Article A direct approach to numerical homogenization in finite elasticity

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: August 31, 2005

Revised: September 30, 2005

Published: February 2006

Abstract Related Papers Cited by

Abstract

We provide a variational description of nearest-neighbours and next-to-nearest neighbours binary lattice systems. By studying the $\Gamma$-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.

Keywords:

Mathematics Subject Classification: Primary: 49S05, 49J45, 82B20, 82B24; Secondary: 49M25, 49Q20, 49Q25.

Citation:

Article Metrics

HTML views() PDF downloads(87) Cited by(0)

Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content