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- W3049619032 abstract "We present the first detailed calculations in the ordered phase using the massive ${ensuremath{varphi}}^{4}$ field theory directly at d=3. It is shown that an adapted expansion allows the renormalization functions of the symmetric theory to be kept unchanged. Extending results in a previous paper [C. Bagnuls and C. Bervillier, Phys. Rev. B 32, 7209 (1985)] (noted I), we obtain, for Ising-type systems, nonasymptotic functions of temperature for the spontaneous magnetization, the susceptibility, and the specific heat along the critical isochore, which include all the quantitative universal characteristics of critical behavior in the real preasymptotic critical domain ${D}_{mathrm{preas}}$. All universal leading- and first-correction amplitude combinations (including the new one ${R}_{{B}_{{mathrm{cr}}^{mathrm{ensuremath{-}}})}}$ are accurately estimated and are compared with previous theoretical and experimental estimates. We also show that the functions are well adapted to a suitable comparison with experiment and we describe how the adjustable parameters, limited to only three (the same as in I), enter in nonasymptotic critical behavior. Together with I, this work provides experimentalists with an efficient and coherent method which will facilitate the experimental test of the renormalization-group predictions." @default.
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- W3049619032 date "1987-03-01" @default.
- W3049619032 modified "2023-10-17" @default.
- W3049619032 title "Nonasymptotic critical behavior from field theory at<i>d=3</i>. II. The ordered-phase case" @default.
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- W3049619032 doi "https://doi.org/10.1103/physrevb.35.3585" @default.
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