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

Daniel M. Dantchev·Jordan G. Brankov
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Abstract

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 $λ$ 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.

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Daniel M. Dantchev, Jordan G. Brankov. 2003-08-15. On the finite-size behavior of systems with asymptotically large critical shift. https://doi.org/10.1088/0305-4470%2F36%2F34%2F301

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