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Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Jan;75(1):011121. doi: 10.1103/PhysRevE.75.011121. Epub 2007 Jan 23.

Finite-size effects on the behavior of the susceptibility in van der Waals films bounded by strongly absorbing substrates.

Physical review. E, Statistical, nonlinear, and soft matter physics

Daniel Dantchev, Joseph Rudnick, M Barmatz

Affiliations

  1. Institute of Mechanics-BAS, Academic Georgy Bonchev St. Building 4, 1113 Sofia, Bulgaria.

PMID: 17358124 DOI: 10.1103/PhysRevE.75.011121

Abstract

We study critical point finite-size effects in the case of the susceptibility of a film in which interactions are characterized by a van der Waals-type power law tail. The geometry is appropriate to a slablike system with two bounding surfaces. Boundary conditions are consistent with surfaces that both prefer the same phase in the low temperature, or broken symmetry, state. We take into account both interactions within the system and interactions between the constituents of the system and the material surrounding it. Specific predictions are made with respect to the behavior of 3He and 4He films in the vicinity of their respective liquid-vapor critical points.

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