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To be precise, it is not appropriate to adopt the entropy in the renormalization group theory as the order parameter, because all the coefficients in the model should be regular functions of h and τ at the starting point of the renormalization
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To be precise, it is not appropriate to adopt the entropy in the renormalization group theory as the order parameter, because all the coefficients in the model should be regular functions of h and τ at the starting point of the renormalization.
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47
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A. Onuki, Phys. Rev. A 43, 6740 (1991). In this reference (Formula presented) was incorrectly identified with (Formula presented) and was estimated as (Formula presented)≅0.485. See also Ref. 39 in this previous reference for discussions of ((Formula presented)(Formula presented).
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Yu. R. Chashkin, A.V. Voronel, V.A. Smirnov and V.G. Gobunova, Zh. Éksp. Teor. Fiz. 52, 112 (1966) [Sov. Phys. JETP 25, 72 (1967)]. They stirred a near-critical fluid to successfully avoid the gravity effect. Below (Formula presented) they should have realized a two phase state mixed by stirring.
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P.C. Hohenberg and M. Barmartz, Phys. Rev. A 6, 289 (1972). In the former paper (Formula presented) in Ising spin systems was calculated in a simple form. In the latter paper (Formula presented) in fluids was calculated, which is nothing but (Formula presented). It has an amplitude independent of a parameter θ if another parameter b is chosen to satisfy a minimization condition. Then the parametric model yields (Formula presented)/A=((Formula presented)-1(Formula presented)≅1 in good agreement with the estimate in Sec. II of this paper. This ratio is smaller than the ratio (Formula presented)/(Formula presented) for (Formula presented) at h=0 in Ising spin systems by 1+(Formula presented), where (Formula presented)=α(γ-2Β)/(γ-1(Formula presented)≅1 from the parametric model.
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