Concentration Expansion for Random Ising Systems
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概要
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Two-dimensional Ising systems with bond-impurities are treated exactly by using the method of Gibberd and Hurst. First we derive recurrence equations by which a Green's function with n scattering centers can be obtained from that with n-1 scattering centers. Using these recurrence equations, we are able to expand the free energy systematically in power series of concentration c of impure bonds. This concentration expansion is carried out up to the order of c^2 for quenched and annealed systems, and we discuss critical properties of the quenched system comparing with those of the annealed system. The difference between the two systems is seen to arise first in the term of the order c^2, but the singularities in these terms are almost the same for both systems. This result leads to an conjecture that critical properties of a quenched system are the same as those of an annealed system in the critical region. The shift of the critical temperature in the quenched system is also calculated up to the order of c^2 in the bond-dilution case (the strength of the impurity bonds is zero).
- 理論物理学刊行会の論文
- 1980-10-25
著者
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Takano Fumihiko
Institute Of Physics University Of Tsukuba
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Takano Fumihiko
Institute Of Physics The University Of Tsukuba
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Tamaribuchi T
Department Of Physics Faculty Of Science Shizuoka University
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Tamaribuchi Tsuguhiro
Institute Of Physics The University Of Tsukuba
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Tamaribuchi Tsuguhiro
Institute Of Physics University Of Tsukuba
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TAKANO Fumihiko
Institute of Physics, University of Tsukuba
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TAMARIBUCHI Tsuguhiro
Institute of Physics, University of Tsukuba
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