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- W2080757912 abstract "Abstract The distribution of effective fields of the Ising spin glass on the Bethe lattice at T=0 is obtained for a general concentration p of ±J bonds, by solving the integral equation. The solutions of the integral equations are classified into (i) paramagnetic solution, (ii) spin glass with symmetric discrete distribution with more than three delta functions, (ii′) spin glass with symmetric distribution with more than three delta functions, (iii) discrete asymmetric ferromagnetic distribution, (iv) spin glass with symmetric continuous distribution, (v) asymmetric continuous distribution. The values of the concentration p of the +J bonds at which the solutions (ii) and (iii), (iv) and (v), (v) and (iii) are connected, are obtained to be p1= 7 8 , p2=0.869427 and p3= 11 12 respectively. It is expected that the symmetric spin glass, asymmetric continuous distribution, and discrete asymmetric distribution are realized in 1 2 ⩽p⩽p2, p2⩽p⩽p3 and p3⩽p⩽1, respectively. The distribution functions in each region are shown explicitly." @default.
- W2080757912 created "2016-06-24" @default.
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- W2080757912 date "1989-06-01" @default.
- W2080757912 modified "2023-09-29" @default.
- W2080757912 title "The asymmetric continuous distribution function of the effective field of the Ising model in the spin glass and the ferromagnetic states on the Bethe lattice" @default.
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- W2080757912 doi "https://doi.org/10.1016/0378-4371(89)90039-3" @default.
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