2006/09/28 by Daniel Dantchev, Joseph Rudnick, M. Barmatz · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Bounded function #Bounding overwatch #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Critical point (mathematics) #Geometry #Materials science #Mathematical analysis #Mathematics #Physics #Power law #Quantum mechanics #Quantum, superfluid, helium dynamics #Slab #Symmetry (geometry) #Theorem of corresponding states #Van der Waals equation #Van der Waals radius #Van der Waals surface #cond-mat.stat-mech #van der Waals force
paper · pdf · doi:10.1103/physreve.75.011121
published as Phys. Rev. E 75, 011121 (2007) · 17 pages, revtex
arxiv created 2006/09/28 · openalex publication_date 2007/01/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.