Exact solution of a three-component system on the honeycomb lattice

A model three-component system is considered in which the bonds of a honeycomb lattice are covered by rodlike molecules of types AA, BB, and AB. The ends of molecules near a common lattice site interact with energies epsilon/sub AA/, epsilon/sub BB/, and epsilon/sub AB/. The model is equivalent to a...

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Veröffentlicht in:	J. Stat. Phys.; (United States) 1986-10, Vol.45 (1-2), p.135-144
Hauptverfasser:	HUCKABY, D. A, SHINMI, M
Format:	Artikel
Sprache:	eng
Schlagworte:	656000 - Condensed Matter Physics 657000 - Theoretical & Mathematical Physics BINDING ENERGY CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY CRYSTAL LATTICES CRYSTAL MODELS CRYSTAL STRUCTURE CRYSTALS DISTANCE ENERGY Exact sciences and technology HAMILTONIANS INTERACTION RANGE ISING MODEL MATHEMATICAL MODELS MATHEMATICAL OPERATORS MECHANICS MOLECULAR CRYSTALS Nonlinear dynamics and nonlinear dynamical systems ORDER-DISORDER TRANSFORMATIONS PHASE STUDIES PHASE TRANSFORMATIONS Physics QUANTUM OPERATORS STATISTICAL MECHANICS Statistical physics, thermodynamics, and nonlinear dynamical systems
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Beschreibung
Zusammenfassung:	A model three-component system is considered in which the bonds of a honeycomb lattice are covered by rodlike molecules of types AA, BB, and AB. The ends of molecules near a common lattice site interact with energies epsilon/sub AA/, epsilon/sub BB/, and epsilon/sub AB/. The model is equivalent to an Ising model on the 3-12 lattice. Exacts results are obtained for the two-phase coexistence curves in the isothermal composition plane.
ISSN:	0022-4715 1572-9613
DOI:	10.1007/BF01033082