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WORLD SCIENTIFIC eBooks

Critical Exponent η up to 1/n2 for the Three-Dimensional System with Short-Range Interaction

Ryuzo Abe

Published Aug 1, 1993• 0 citations
Publisher
DOI
10.1142/9789814365802_0004

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Critical Exponent η up to 1/n2for the Three-Dimensional System with Short-Range Interaction

Ryuzo Abe

By means of the 1/n expansion method, the critical exponent η is discussed for the three-dimensional isotropic n-vector model with short-range interaction. Terms up to 1/n2 are obtained and the result is compared with the numerical estimate based on high temperature expansion and with Wilson's ε expansion.

Progress of Theoretical Physics•Jun 1, 1973•43 citations

Expansion of a Critical Exponent in Inverse Powers of Spin Dimensionality

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Progress of Theoretical Physics Vol. 49 No. 2 (1973) pp. 424-441 Critical Exponents for Long-Range Interactions. I Masuo Suzuki Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 1074-1075 Critical Exponent η up to 1/n2 for the Three-Dimensional System with Short-Range Interaction Ryuzo Abe Progress of Theoretical Physics Vol. 49 No. 4 (1973) pp. 1106-1120 Critical Exponents for Long-Range Interactions. II Masuo Suzuki Progress of Theoretical Physics Vol. 49 No. 5 (1973) pp. 1440-1450 Critical Exponents for Long-Range Interactions. III Masuo Suzuki Progress of Theoretical Physics Vol. 49 No. 5 (1973) pp. 1451-1458 Critical Behavior of the Anisotropic Classical n-Vector Model Masuo Suzuki Progress of Theoretical Physics Vol. 49 No. 6 (1973) pp. 1851-1857 Breakdown of Some Scaling Law Relations in 1/n Expansion Ryuzo Abe and Shinobu Hikami Progress of Theoretical Physics Vol. 49 No. 6 (1973) pp. 1877-1888 Critical Exponent η up to 1/n2 for the Three-Dimensional System with Short-Range Interaction Ryuzo Abe Progress of Theoretical Physics Vol. 50 No. 2 (1973) pp. 393-408 On the Expansion Theory of Critical Exponents Masuo Suzuki Progress of Theoretical Physics Vol. 51 No. 4 (1974) pp. 1041-1052 Discontinuities of Critical Amplitude for Specific Heat Ryuzo Abe and Shinobu Hikami Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 369-378 Crossover Exponent of the Spin Anisotropic n-Vector Model with Short-Range Interaction in 1/n Expansion Shinobu Hikami and Ryuzo Abe Progress of Theoretical Physics Vol. 53 No. 1 (1975) pp. 97-110 On the Critical Dynamics in Bose Systems and the Time-Dependent Ginzburg-Landau Model Masuo Suzuki Progress of Theoretical Physics Vol. 53 No. 2 (1975) pp. 591-593 Dynamic Critical Behavior of Bose Systems at Tλ Giko Igarashi Progress of Theoretical Physics Vol. 68 No. 1 (1982) pp. 277-286 Strong Coupling Limit of Abelian Higgs Model and Its Correspondence with CPn-1 Model Jnanadeva Maharana

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Dependence of critical exponents upon symmetry, dimensionality, potential-range and strength of interaction

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Progress of Theoretical Physics Vol. 49 No. 2 (1973) pp. 424-441 Critical Exponents for Long-Range Interactions. I Masuo Suzuki Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 1074-1075 Critical Exponent η up to 1/n2 for the Three-Dimensional System with Short-Range Interaction Ryuzo Abe Progress of Theoretical Physics Vol. 49 No. 4 (1973) pp. 1106-1120 Critical Exponents for Long-Range Interactions. II Masuo Suzuki Progress of Theoretical Physics Vol. 49 No. 5 (1973) pp. 1440-1450 Critical Exponents for Long-Range Interactions. III Masuo Suzuki Progress of Theoretical Physics Vol. 49 No. 5 (1973) pp. 1451-1458 Critical Behavior of the Anisotropic Classical n-Vector Model Masuo Suzuki Progress of Theoretical Physics Vol. 49 No. 6 (1973) pp. 1851-1857 Breakdown of Some Scaling Law Relations in 1/n Expansion Ryuzo Abe and Shinobu Hikami Progress of Theoretical Physics Vol. 49 No. 6 (1973) pp. 1877-1888 Critical Exponent η up to 1/n2 for the Three-Dimensional System with Short-Range Interaction Ryuzo Abe Progress of Theoretical Physics Vol. 50 No. 2 (1973) pp. 393-408 On the Expansion Theory of Critical Exponents Masuo Suzuki Progress of Theoretical Physics Vol. 51 No. 4 (1974) pp. 1041-1052 Discontinuities of Critical Amplitude for Specific Heat Ryuzo Abe and Shinobu Hikami Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 369-378 Crossover Exponent of the Spin Anisotropic n-Vector Model with Short-Range Interaction in 1/n Expansion Shinobu Hikami and Ryuzo Abe Progress of Theoretical Physics Vol. 53 No. 1 (1975) pp. 97-110 On the Critical Dynamics in Bose Systems and the Time-Dependent Ginzburg-Landau Model Masuo Suzuki Progress of Theoretical Physics Vol. 53 No. 2 (1975) pp. 591-593 Dynamic Critical Behavior of Bose Systems at Tλ Giko Igarashi Progress of Theoretical Physics Vol. 68 No. 1 (1982) pp. 277-286 Strong Coupling Limit of Abelian Higgs Model and Its Correspondence with CPn-1 Model Jnanadeva Maharana