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- W2018482110 abstract "The tricirical exponents ${ensuremath{eta}}_{t}$ and ${ensuremath{varphi}}_{t}$ are calculated through order ${ensuremath{epsilon}}^{3}$ and ${ensuremath{epsilon}}^{2}$, respectively, in the isotropic $n$-component model, where $ensuremath{epsilon}=3ensuremath{-}d$. The estimate for ${ensuremath{eta}}_{t}$, in two dimensions for the Ising case, is 0.027; the series for ${ensuremath{varphi}}_{t}$ is quite ill behaved, producing a negative estimate at this order. Beginning at this order in $ensuremath{epsilon}$, the spherical-model limit fails to exist. A scaling function for the spin-spin correlation function, appropriate for nonexceptional paths of approach to the tricritical point in the disordered phase, is calculated through ${ensuremath{epsilon}}^{2}$; its large momentum expansion is shown to involve the crossover exponent. These results are generalized to points where $ensuremath{theta}$ coexisting phases become critical." @default.
- W2018482110 created "2016-06-24" @default.
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- W2018482110 date "1978-11-01" @default.
- W2018482110 modified "2023-09-23" @default.
- W2018482110 title "Tricritical behavior in two dimensions. II. Universal quantities from the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>ε</mml:mi></mml:math>expansion" @default.
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- W2018482110 doi "https://doi.org/10.1103/physrevb.18.5099" @default.
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