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

PHASE AND ANTI-PHASE BOUNDARIES IN BINARY DISCRETE SYSTEMS: A VARIATIONAL VIEWPOINT

Roberto Alicandro
, Andrea Braides
, Marco Cicalese

Università di Cassino
University of Rome Tor Vergata
Università di Napoli Federico II

Research output: Contribution to journal › Article › peer-review

58 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	85-107
Number of pages	23
Journal	Networks and Heterogeneous Media
Volume	1
Issue number	1
DOIs	https://doi.org/10.3934/nhm.2006.1.85
State	Published - 2006
Externally published	Yes

Keywords

Lattice systems
anti-phase boundaries
binary alloys
spin systems
surface energies
Γ-convergence

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10.3934/nhm.2006.1.85

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title = "PHASE AND ANTI-PHASE BOUNDARIES IN BINARY DISCRETE SYSTEMS: A VARIATIONAL VIEWPOINT",

abstract = "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.",

keywords = "Lattice systems, anti-phase boundaries, binary alloys, spin systems, surface energies, Γ-convergence",

author = "Roberto Alicandro and Andrea Braides and Marco Cicalese",

note = "Publisher Copyright: {\textcopyright} American Institute of Mathematical Sciences.",

year = "2006",

doi = "10.3934/nhm.2006.1.85",

language = "English",

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pages = "85--107",

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T2 - A VARIATIONAL VIEWPOINT

AU - Alicandro, Roberto

AU - Braides, Andrea

AU - Cicalese, Marco

N1 - Publisher Copyright: © American Institute of Mathematical Sciences.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

KW - Lattice systems

KW - anti-phase boundaries

KW - binary alloys

KW - spin systems

KW - surface energies

KW - Γ-convergence

UR - https://www.scopus.com/pages/publications/34547297895

U2 - 10.3934/nhm.2006.1.85

DO - 10.3934/nhm.2006.1.85

M3 - Article

AN - SCOPUS:34547297895

SN - 1556-1801

VL - 1

SP - 85

EP - 107

JO - Networks and Heterogeneous Media

JF - Networks and Heterogeneous Media

IS - 1

ER -

PHASE AND ANTI-PHASE BOUNDARIES IN BINARY DISCRETE SYSTEMS: A VARIATIONAL VIEWPOINT

Abstract

Keywords

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