NDLI: A finite-size scaling study of wedge filling transitions in the 3D Ising model

Content Provider	Royal Society of Chemistry (RSC)
Author	Romero-Enrique, José Manuel Rodríguez-Rivas, Álvaro Rull, Luis F. Parry, Andrew O.
Copyright Year	2013
Abstract	We propose a fully quantitative theory for the finite-size scaling of the filling transition in a three-dimensional double wedge geometry, based on the exact transfer-matrix solution of a phenomenological interfacial model. Antisymmetric fields act at the top and bottom wedges; so each one favours a different bulk phase under coexistence conditions, i.e. gas and liquid phases in fluid models such as the lattice gas, or equivalently ferromagnetic domains of opposed magnetization in the Ising model. From this formalism we obtain an analytical form for the magnetization probability distribution function at critical filling which is valid for any aspect ratio. To test our predictions we revisit and perform new simulation studies of filling in the Ising model double-wedge geometry and use our finite-size scaling theory to locate accurately the critical filling transition.
Starting Page	7069
Ending Page	7075
Page Count	7
File Format	HTM / HTML PDF
ISSN	1744683X
Volume Number	9
Issue Number	29
Journal	Soft Matter
DOI	10.1039/c3sm50207d
Language	English
Publisher	Royal Society of Chemistry
Access Restriction	Open
Subject Keyword	Geometry Antisymmetric relation Distribution function Ising model Ferromagnetism Aspect ratio Crystal structure
Content Type	Text
Resource Type	Article
Subject	Chemistry Condensed Matter Physics

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A finite-size scaling study of wedge filling transitions in the 3D Ising model