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 an...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 【σ<sub>M1</sub>, <sub>N1</sub>σ<sub>M2</sub>, <sub>N2</sub>ε<sub>N3</sub>, N3】 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>.展开更多
基金Project supported in part by the National Natural Science Foundation of China.
文摘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 【σ<sub>M1</sub>, <sub>N1</sub>σ<sub>M2</sub>, <sub>N2</sub>ε<sub>N3</sub>, N3】 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>.