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• W2080212165 endingPage "P11020" @default.
• W2080212165 startingPage "P11020" @default.
• W2080212165 abstract "Strongly anisotropic critical systems are considered in a $d$-dimensional film geometry. Such systems involve two (or more) distinct correlation lengths $xi_beta$ and $xi_alpha$ that scale as nontrivial powers of each other, i.e. $xi_alphasimxi_beta^theta$ with anisotropy index $thetane 1$. Thus two fundamental orientations, perpendicular ($perp$) and parallel ($|$), for which the surface normal is oriented along an $alpha$- and $beta$-direction, respectively, must be distinguished. The confinement of critical fluctuations caused by the film's boundary planes is shown to induce effective forces $mathcal{F}_C$ that decay as $mathcal{F}_Cpropto-(partial/partial L)Delta_{perp,|},L^{-zeta_{perp,|}}$ as the film thickness $L$ becomes large, where the proportionality constants involve nonuniversal amplitudes. The decay exponents $zeta_{perp,|}$ and the Casimir amplitudes $Delta_{perp,|}$ are universal but depend on the type of orientation. To corroborate these findings, $n$-vector models with an $m$-axial bulk Lifshitz point are investigated by means of RG methods below the upper critical dimension $d^*(m)=4+m/2$ under various boundary conditions (BC). The exponents $zeta_{perp,|}$ are determined, and explicit results to one- or two-loop order are presented for several Casimir amplitudes $Delta^{mathrm{BC}}_{perp,|}$. The large-$n$ limits of the Casimir amplitudes $Delta_{|}^{mathrm{BC}}/n$ for periodic and Dirichlet BC are shown to be proportional to their critical-point analogues at dimension $d-m/2$. The limiting values $Delta^{mathrm{PBC}}_{|,perp,infty}=lim_{ntoinfty}Delta_{|,perp}^{mathrm{PBC}}/n$ are determined exactly for the uniaxial cases $(d,m)=(3,1)$ under periodic BC. Unlike $Delta^{mathrm{PBC}}_{|,infty}$, $Delta^{mathrm{PBC}}_{perp,infty}$ is positive, so that the corresponding Casimir force is repulsive." @default.
• W2080212165 created "2016-06-24" @default.
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• W2080212165 date "2010-11-15" @default.
• W2080212165 modified "2023-10-16" @default.
• W2080212165 title "Fluctuation-induced forces in strongly anisotropic critical systems" @default.
• W2080212165 cites W1545673226 @default.
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• W2080212165 cites W1964446890 @default.
• W2080212165 cites W1966587211 @default.
• W2080212165 cites W1966651860 @default.
• W2080212165 cites W1966871535 @default.
• W2080212165 cites W1967202369 @default.
• W2080212165 cites W1971428062 @default.
• W2080212165 cites W1981555991 @default.
• W2080212165 cites W1985220030 @default.
• W2080212165 cites W1986716223 @default.
• W2080212165 cites W1992043352 @default.
• W2080212165 cites W1994562510 @default.
• W2080212165 cites W1997834443 @default.
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• W2080212165 cites W2005154603 @default.
• W2080212165 cites W2005636364 @default.
• W2080212165 cites W2007801369 @default.
• W2080212165 cites W2007975970 @default.
• W2080212165 cites W2015146689 @default.
• W2080212165 cites W2021144466 @default.
• W2080212165 cites W2021628151 @default.
• W2080212165 cites W2024643249 @default.
• W2080212165 cites W2026148659 @default.
• W2080212165 cites W2026169595 @default.
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• W2080212165 cites W2035735138 @default.
• W2080212165 cites W2038304926 @default.
• W2080212165 cites W2038386627 @default.
• W2080212165 cites W2039683162 @default.
• W2080212165 cites W2041943230 @default.
• W2080212165 cites W2042801536 @default.
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• W2080212165 cites W2068312999 @default.
• W2080212165 cites W2070836042 @default.
• W2080212165 cites W2071432540 @default.
• W2080212165 cites W2074025671 @default.
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• W2080212165 doi "https://doi.org/10.1088/1742-5468/2010/11/p11020" @default.
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