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• W2042801536 abstract "Systems described by an $O(n)$ symmetrical ${ensuremath{phi}}^{4}$ Hamiltonian are considered in a $d$-dimensional film geometry at their bulk critical points. The critical Casimir forces between the film's boundary planes ${mathfrak{B}}_{j}$, $j=1,2$, are investigated as functions of film thickness $L$ for generic symmetry-preserving boundary conditions ${ensuremath{partial}}_{n}mathbit{ensuremath{phi}}={stackrel{ensuremath{circ}}{c}}_{j}mathbit{ensuremath{phi}}$. The $L$-dependent part of the reduced excess free energy per cross-sectional area takes the scaling form ${f}_{mathrm{res}}ensuremath{approx}D({c}_{1}{L}^{ensuremath{Phi}/ensuremath{nu}},{c}_{2}{L}^{ensuremath{Phi}/ensuremath{nu}})/{L}^{densuremath{-}1}$ when $d<4$, where ${c}_{i}$ are scaling fields associated with the variables ${stackrel{ensuremath{circ}}{c}}_{i}$ and $ensuremath{Phi}$ is a surface crossover exponent. Explicit two-loop renormalization group results for the function $D({mathsf{c}}_{1},{mathsf{c}}_{2})$ at $d=4ensuremath{-}ϵ$ dimensions are presented. These show that (i) the Casimir force can have either sign, depending on ${mathsf{c}}_{1}$ and ${mathsf{c}}_{2}$, and (ii) for appropriate choices of the enhancements ${stackrel{ensuremath{circ}}{c}}_{j}$, crossovers from attraction to repulsion and vice versa occur as $L$ increases." @default.
• W2042801536 created "2016-06-24" @default.
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• W2042801536 date "2008-09-03" @default.
• W2042801536 modified "2023-09-26" @default.
• W2042801536 title "Crossover from Attractive to Repulsive Casimir Forces and Vice Versa" @default.
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• W2042801536 doi "https://doi.org/10.1103/physrevlett.101.100601" @default.
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