On the finite-size behavior of systems with asymptotically large critical shift

Details On the finite-size behavior of systems with asymptotically large critical shift On the finite-size behavior of systems with asymptotically large critical shift

2003-05-20

arxiv.org/abs/cond-mat/0305470v2

J. Phys. A 36 (2003) 8915-8933

Physics

Condensed Matter

Statistical Mechanics

24 pages, latex

Scientific paper

10.1088/0305-4470/36/34/301

Exact results of the finite-size behavior 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 $\lambda$ characterizing the shift of the finite-size critical temperature with respect to $T_c$ is smaller than $1/\nu$, with $\nu$ being the critical exponent of the bulk correlation length.

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