Phase Transitions in Three Dimensional Ising Systems under Free and Periodic Boundary Conditions

Autor:	Carmen Aragó, Jorge M. Garcia, Francisca Pajuelo, Julio A. Gonzalo, Ma Felisa Martínez Ruiz
Rok vydání:	2004
Předmět:	Phase transition Materials science Condensed matter physics Monte Carlo method Periodic boundary conditions Ising model Boundary value problem Function (mathematics) Condensed Matter Physics Scaling Ferroelectricity Electronic Optical and Magnetic Materials
Zdroj:	Ferroelectrics. 301:91-95
ISSN:	1563-5112 0015-0193
DOI:	10.1080/00150190490455197
Popis:	The Ising model (and also the Ising model in a transverse field) has been used extensively to investigate ferroelectric phase transitions. Numerical Monte Carlo simulations of phase transitions in three-dimensional Ising systems with variable size (2 ≤ L ≤ 100) have been performed. The susceptibility maximum and peak temperature Tc 3D(L,Lc) for free and periodic boundary conditions have been determinated and have been observed to be well fitted by simple expressions as a function of L. For L → ∞, as expected [Tc 3D]fbc = [Tc 3D]pbc being fbc = free boundary conditions and pbc = periodic boundary conditions. Scaling plots MLβ/v vs |ϵ|Ll/v for larger L with both boundary conditions were obteined and compared. The scaling function for our data up to L ≈ 100 was examined closely and an excellent fit at T → Tc was obtenied.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::01150e56d92cb5dfc608456311c02c6c https://doi.org/10.1080/00150190490455197 Zobrazit plný text záznamu