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تسجيل مستخدم جديدOn the finite-size behavior of systems with asymptotically large critical shift
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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 $1/ u$, with $ u$ being the critical exponent of the bulk correlation length.
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