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The Energy-Spin Correlation Function of 2-D Ising Model With External Magnetic Field for T>T_c~*

The Energy-Spin Correlation Function of 2-D Ising Model With External Magnetic Field for T>T_c~*
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摘要 Under the scaling limit, i.e. T→T_c+, H→O, R→∞, where h=const. H|T-T_c|^(-15/8) is fixed and small, while r=R|T-T_c|is fixed and large, we investigate the energy-spin correlation function <σ_(M1), _(N1)σ_(M2), _(N2)ε_(N3), N3> of Ising model with small external magnetic field. By cluster expansion we obtain its leading and next leading terms related to K_0(nr) and K_1(nr) up to order h^2. Under the scaling limit, i.e. T→T<sub>c</sub>+, H→O, R→∞, where h=const. H|T-T<sub>c</sub>|<sup>-15/8</sup> is fixed and small, while r=R|T-T<sub>c</sub>|is fixed and large, we investigate the energy-spin correlation function &lt;σ<sub>M1</sub>, <sub>N1</sub>σ<sub>M2</sub>, <sub>N2</sub>ε<sub>N3</sub>, N3&gt; of Ising model with small external magnetic field. By cluster expansion we obtain its leading and next leading terms related to K<sub>0</sub>(nr) and K<sub>1</sub>(nr) up to order h<sup>2</sup>.
出处 《Science China Mathematics》 SCIE 1993年第4期449-458,共10页 中国科学:数学(英文版)
基金 Project supported in part by the National Natural Science Foundation of China.
关键词 ISING model SEALING LIMIT CORRELATION function. Ising model, sealing limit, correlation function.
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