Estimates of Critical Quantities from an Expansion in Mass: Ising Model on the Simple Cubic Lattice



Document title: Estimates of Critical Quantities from an Expansion in Mass: Ising Model on the Simple Cubic Lattice
Journal: Brazilian journal of physics
Database: PERIÓDICA
System number: 000389442
ISSN: 0103-9733
Authors: 1
Institutions: 1Chiba Institute of Technology, Division of Mathematics and Science, Narashino, Chiba. Japón
Year:
Season: Dic
Volumen: 45
Number: 6
Pages: 584-603
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, aplicado
English abstract In the Ising model on the simple cubic lattice, we describe the inverse temperature β and other quantities relevant for the computation of critical quantities in terms of a dimensionless squared mass M. The critical behaviors of those quantities are represented by the linear differential equations with constant coefficients which are related to critical exponents. We estimate the critical temperature and exponents via an expansion in the inverse powers of the mass under the use of δ-expansion. The critical inverse temperature βc is estimated first in unbiased manner and then critical exponents are also estimated in biased and unbiased self-contained way including ω, the correction-to-scaling exponent, ν, η, and γ
Disciplines: Física y astronomía
Keyword: Física de materia condensada,
Cantidades críticas,
Modelo de Ising,
Expansión delta,
Expansión en masa
Keyword: Physics and astronomy,
Condensed matter physics,
Critical quantities,
Ising model,
Delta expansion,
Expansion in mass
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