Solvation forces in Ising films with long-range boundary fields: density-matrix renormalization-group study

Using the quasi-exact density-matrix renormalization-group method we calculate the solvation forces in two-dimensional Ising films of thickness L subject to identical algebraically decaying boundary fields with various decay exponents p. At the bulk critical point the solvation force acquires a univ...

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Bibliographic Details
Published inMolecular physics Vol. 109; no. 7-10; pp. 1133 - 1141
Main Authors Drzewinski, A, Maciolek, A, Barasinski, A
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis Group 01.04.2011
Taylor & Francis Ltd
Taylor & Francis
Subjects
Boundaries
capillary condensation
Casimir effect
Condensed Matter
Decay
finite-size scaling
Fluctuation
Ising model
Ising systems
Isotherms
Mathematical analysis
Molecular physics
Physics
Solvation
solvation force
Stratosphere
Physical Sciences
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ISSN0026-8976
1362-3028
DOI10.1080/00268976.2010.549092

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Summary:Using the quasi-exact density-matrix renormalization-group method we calculate the solvation forces in two-dimensional Ising films of thickness L subject to identical algebraically decaying boundary fields with various decay exponents p. At the bulk critical point the solvation force acquires a universal contribution which is long-ranged in L due to the critical fluctuations, a phenomenon known as the critical Casimir effect. For p = 2, 3 and 50, we study the scaling behaviour of the solvation force along the pseudo-phase coexistence and along the critical and sub-critical isotherms.
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ISSN:0026-8976
1362-3028
DOI:10.1080/00268976.2010.549092