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- W2016970887 abstract "A critical phase confined between two parallel plates, with symmetry-breaking fields ${h}_{1}$ and ${h}_{2}$ acting on each plate, is considered for (i) ${h}_{1}{h}_{2}>0$ (denoted $abphantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}++$) and (ii) ${h}_{1}{h}_{2}<0$ ( $abphantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}+ensuremath{-}$). Using local-functional methods, we calculate order-parameter scaling functions ${ensuremath{Psi}}_{mathrm{ab}}(x)$ and Casimir amplitudes ${A}_{mathrm{ab}}$, for general dimension $d$. At $dphantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}2$, our ${ensuremath{Psi}}_{++}(x)$ almost coincides with exact conformal predictions. For the Ising universality class, we obtain expansions for ${A}_{mathrm{ab}}$ in $ensuremath{epsilon}phantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}4ensuremath{-}densuremath{downarrow}0$ in excellent agreement with those obtained from field theory and, in $dphantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}3$, new results are presented for ${A}_{mathrm{ab}}$ and ${ensuremath{Psi}}_{mathrm{ab}}(x)$." @default.
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- W2016970887 date "1998-11-30" @default.
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- W2016970887 title "Order-Parameter Profiles and Casimir Amplitudes in Critical Slabs" @default.
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- W2016970887 doi "https://doi.org/10.1103/physrevlett.81.4911" @default.
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