2003/05/31 by Daniel Dantchev, Daniel M. Dantchev, J.G. Brankov +1 · 1 citation
Mathematics · Physics and Astronomy · #Quantum chaos and dynamical systems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1088/0305-4470/36/34/301
published as J. Phys. A 36 (2003) 8915-8933 · 24 pages, latex
openalex publication_date 2003/08/12 · arxiv created 2003/08/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
Exact results of the finite-size behaviour of the susceptibility in three-dimensional mean spherical model films under Dirichlet–Dirichlet, Dirichlet–Neumann and Neumann–Neumann boundary conditions are presented. The corresponding scaling functions are explicitly derived and their asymptotics close to, above and below the bulk critical temperature T c are obtained. The results can be incorporated in the framework of the finite-size scaling theory where the exponent λ characterizing the shift of the finite-size critical temperature with respect to T c is smaller than 1/ν, with ν being the critical exponent of the bulk correlation length.