Finite-size effects in the spherical model of finite thickness

Details Finite-size effects in the spherical model of finite thickness Finite-size effects in the spherical model of finite thickness

2008-05-06

arxiv.org/abs/0805.0715v3

J. Phys. A: Math. Theor. 41 (2008) 375002

Physics

Condensed Matter

Statistical Mechanics

Version published in J. Phys. A: Math. Theor

Scientific paper

10.1088/1751-8113/41/37/375002

A detailed analysis of the finite-size effects on the bulk critical behaviour of the $d$-dimensional mean spherical model confined to a film geometry with finite thickness $L$ is reported. Along the finite direction different kinds of boundary conditions are applied: periodic $(p)$, antiperiodic $(a)$ and free surfaces with Dirichlet $(D)$, Neumann $(N)$ and a combination of Neumann and Dirichlet $(ND)$ on both surfaces. A systematic method for the evaluation of the finite-size corrections to the free energy for the different types of boundary conditions is proposed. The free energy density and the equation for the spherical field are computed for arbitrary $d$. It is found, for $2

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