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Criticality without a divergent correlation length was found in other mean-field transitions, e.g., PRLTAO 0031-9007 10.1103/PhysRevLett.63.1082
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The exponents violate the hyperscaling relation, 2β+γ=dν* (d being the dimensionality). This breakdown of finite-size scaling is known in other mean-field transitions and related to the appearance of the divergent length ξ. PRBMDO 0163-1829 10.1103/PhysRevB.31.1498
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The exponents violate the hyperscaling relation, 2β+γ=dν* ast; (d being the dimensionality). This breakdown of finite-size scaling is known in other mean-field transitions and related to the appearance of the divergent length ξ. K. Binder, M. Nauenberg, V. Privman, and A.P. Young, Phys. Rev. B PRBMDO 0163-1829 31, 1498 (1985); 10.1103/PhysRevB.31.1498
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This result was obtained in a different system. EPJSFH 1292-8941 10.1140/epje/i2006-10003-7
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For a similar behavior in a two-dimensional system, see EPJSFH 1292-8941 10.1140/epje/i2006-10041-1
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