Finite-size scaling behavior in trapped systems.
Phys Rev E Stat Nonlin Soft Matter Phys
; 81(5 Pt 1): 051122, 2010 May.
Article
em En
| MEDLINE
| ID: mdl-20866200
ABSTRACT
Numerical transfer-matrix methods are applied to two-dimensional Ising spin systems, in the presence of a confining magnetic field which varies with distance |x| to a "trap center," proportionally to (|x|/â)p, where p>0 . On a strip geometry, the competition between the "trap size" â and the strip width L is analyzed in the context of a generalized finite-size scaling ansatz. In the low-field regime â >> L, we use conformal-invariance concepts in conjunction with a linear-response approach to derive the appropriate (p-dependent) limit of the theory, which agrees very well with numerical results for magnetization profiles. For high fields â â² L, correlation-length scaling data broadly confirm an existing picture of p-dependent characteristic exponents. Standard spin-1/2 and spin-1 Ising systems are considered, as well as the Blume-Capel model.
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Prognostic_studies
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En
Ano de publicação:
2010
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Article