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1
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0004081609
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F. J. W. Hahne, Vol. 186 of Lecture Notes in PhysicsSpringer-Verlag, Berlin
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M. E. Fisher, in Critical Phenomena, edited by F. J. W. Hahne, Vol. 186 of Lecture Notes in Physics (Springer-Verlag, Berlin, 1983), pp. 1–139.
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(1983)
Critical Phenomena
, pp. 1-139
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Fisher, M.E.1
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3
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0001348177
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C. Domb and J. L. LebowitzAcademic, London
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A. Aharony, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1976), Vol. 6, pp. 358–424.
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(1976)
Phase Transitions and Critical Phenomena
, vol.6
, pp. 358-424
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Aharony, A.1
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4
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0003242030
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C. Domb and J. L. LebowitzAcademic, London
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W. Selke, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1992), Vol. 15, pp. 1–72.
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(1992)
Phase Transitions and Critical Phenomena
, vol.15
, pp. 1-72
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Selke, W.1
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7
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85038993961
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For background and extensive lists of references, see the review articles in Refs. 8 and 9
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For background and extensive lists of references, see the review articles in Refs. 8 and 9.
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9
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0036025979
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Proceedings of the 5th International Conference “Renormalization Group 2002,” Tatranska Strba, High Tatra Mountains, Slovakia, March 2002
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H.W. Diehl, Acta Phys. Slov. 52, 271 (2002), Proceedings of the 5th International Conference “Renormalization Group 2002,” Tatranska Strba, High Tatra Mountains, Slovakia, March 2002.
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(2002)
Acta Phys. Slov.
, vol.52
, pp. 271
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Diehl, H.W.1
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23
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4143059761
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5th ed., Vol. VII of Lehrbuch der Theoretischen PhysikAkademie Verlag, Berlin
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L. D. Landau and E. M. Lifschitz, Elastizitätstheorie, 5th ed., Vol. VII of Lehrbuch der Theoretischen Physik (Akademie Verlag, Berlin, 1983).
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(1983)
Elastizitätstheorie
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Landau, L.D.1
Lifschitz, E.M.2
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24
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85039005246
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There are fewer tensors (Formula presented) than elastic moduli (Formula presented) because the latter are not totally symmetric but satisfy in general only the relations (Ref. 23) (Formula presented)
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There are fewer tensors (Formula presented) than elastic moduli (Formula presented) because the latter are not totally symmetric but satisfy in general only the relations (Ref. 23) (Formula presented).
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25
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85039008486
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To investigate the Lifshitz-point critical behavior in the spherical limit (Formula presented), Frachebourg and Henkel (Ref. 26) considered a Hamiltonian of the form (10) but without the isotropic derivative term (Formula presented). In RG analyses such a simplifying assumption cannot be maintained because this term gets generated under the RG, even within the framework of the 1/n expansion
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To investigate the Lifshitz-point critical behavior in the spherical limit (Formula presented), Frachebourg and Henkel (Ref. 26) considered a Hamiltonian of the form (10) but without the isotropic derivative term (Formula presented). In RG analyses such a simplifying assumption cannot be maintained because this term gets generated under the RG, even within the framework of the 1/n expansion.
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29
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85038989419
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MATHEMATICA, version 3.0, a product of Wolfram Research
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MATHEMATICA, version 3.0, a product of Wolfram Research.
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30
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85038992948
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We have verified that our numerical integration method gives values for m = 2 and m = 6 in conformity with the analytical results (52). Yet, in the m = 6 case, we have contented ourselves with a numerical accuracy ≲0.4%. The additional decimals given in Table I were determined from the exact expression (52). For m = 2, the numerical accuracy is higher, corresponding essentially to the number of decimals given
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We have verified that our numerical integration method gives values for m = 2 and m = 6 in conformity with the analytical results (52). Yet, in the m = 6 case, we have contented ourselves with a numerical accuracy ≲0.4%. The additional decimals given in Table I were determined from the exact expression (52). For m = 2, the numerical accuracy is higher, corresponding essentially to the number of decimals given.
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31
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0000585079
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The sole exception, to our knowledge, is
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The sole exception, to our knowledge, is D. Mukamel and M. Luban, Phys. Rev. B 18, 3631 (1978).
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(1978)
Phys. Rev. B
, vol.18
, pp. 3631
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Mukamel, D.1
Luban, M.2
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