On the Residual Entropy of the Blume-Emery-Griffiths Model

Autor:	Gastão A. Braga, Paulo C. Lima
Rok vydání:	2007
Předmět:	Transfer-matrix method Phase (waves) Statistical and Nonlinear Physics Condensed Matter::Disordered Systems and Neural Networks Square lattice Transfer matrix Residual entropy Mathematical Physics Eigenvalues and eigenvectors Mathematics Mathematical physics
Zdroj:	Journal of Statistical Physics. 130:571-578
ISSN:	1572-9613 0022-4715
DOI:	10.1007/s10955-007-9457-z
Popis:	By means of a transfer matrix method, we show that the residual entropy S of the two dimensional square lattice Blume-Emery-Griffiths model on the antiquadrupolar-disordered and ferromagnetic-antiquadrupolar-disordered phase boundaries satisfies the inequalities (ln λ1,n)/(n+1)≤S≤(ln λ1,n)/n, where λ1,n is the largest eigenvalue of a transfer matrix Fn on a strip of width n. These bounds imply the existence of a O(1/n) correction in the approximation of S by (ln λ1,n)/n. Using these bounds, we calculate numerically the value of S, with precise estimates on the errors.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b3c65d5c8488a1dd13899b4ebe23504d https://doi.org/10.1007/s10955-007-9457-z Zobrazit plný text záznamu Full text from SpringerLink