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- W1998745262 abstract "If scaling variables and scaling expressions are chosen judiciously, ``critical'' scaling analyses do not need to be restricted to a narrow range of temperatures near the critical point. The standard scaling variable $(Tensuremath{-}{T}_{c})/{T}_{c}$ is inadapted to wide ranges of temperature because it diverges at high temperatures. With the variable $ensuremath{tau}=(Tensuremath{-}{T}_{c})/T$, in the high-dimension (mean-field) limit, the reduced susceptibility and the second-moment correlation length of the Ising ferromagnet depend on temperature as $ensuremath{chi}(T)={ensuremath{tau}}^{ensuremath{-}1}$ and $ensuremath{xi}(T)={T}^{ensuremath{-}1/2}{ensuremath{tau}}^{ensuremath{-}1/2}$ exactly over the entire temperature range above the critical temperature ${T}_{c}$. For the canonical two-dimensional square lattice near-neighbor Ising ferromagnet, it is shown that compact ``extended scaling'' expressions analogous to the high-dimensional limit form but with the appropriate exponents give accurate approximations to the true temperature dependencies, again over the entire temperature range from ${T}_{c}$ to infinity. Within this approach, for near-neighbor interaction systems, there is no crossover temperature above which mean-field-like behavior sets in." @default.
- W1998745262 created "2016-06-24" @default.
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- W1998745262 date "2008-07-28" @default.
- W1998745262 modified "2023-09-24" @default.
- W1998745262 title "Extended scaling for the high-dimension and square-lattice Ising ferromagnets" @default.
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- W1998745262 doi "https://doi.org/10.1103/physrevb.78.024435" @default.
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