Order-disorder statistics IV. A two-dimensional model with first and second interactions

Autor:	R. B. Potts, Cyril Domb
Rok vydání:	1951
Předmět:	General Energy Transition point Ferromagnetism Condensed matter physics Chemistry Lattice (order) Statistics Monolayer Binary alloy Antiferromagnetism Dimensional modeling Reciprocal
Zdroj:	Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. 210:125-141
ISSN:	2053-9169 0080-4630
Popis:	The statistics of the rectangular lattice with first and second neighbour interactions is discussed in detail. Several terms of the low-temperature series for the partition function are obtained for the case when the interactions are ferromagnetic, and for the ‘no-field’ lattice reciprocal transformations are used to transform to series valid for antiferromagnetic interactions. The transition points for different signs and magnitudes of the interaction energies are estimated. An exceptional value of the ratio of the first and second interaction energies is found for which the lattice has no transition point and long-range order offers no energy advantage. The series are used to predict the behaviour of the first derivatives of the partition function, and the results are applied to models of a ferromagnet, binary alloy, antiferromagnet and adsorbed monolayer.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::64812c9e24db29557765627bcb2ee0ec https://doi.org/10.1098/rspa.1951.0235 Zobrazit plný text záznamu