Finite-Size Effects in Critical Phenomena from Mean Field Approach with $ϕ^4$ Model

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The finite-size effects in critical phenomena of a thin film system are studied from a mean field (MF) approach with $ϕ^4$ model for second-order phase transition. The influence of boundary condition on the critical properties are emphasized. Scaling functions for relative free-energy and relative specific heat capacity are given.
10 pages, LaTeX, 4 figure in PS format

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