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- W2079254486 abstract "We show that the statistical mechanics of Ising models can be conveniently reformulated in terms of the local magnetic field probability distribution function $P(h)$. It is shown that for arbitrary exchange interactions ${J}_{mathrm{ij}}$, which may or may not be random, both thermodynamic quantities such as magnetization, specific heat, etc., and the neutron scattering law $S(stackrel{ensuremath{rightarrow}}{k},ensuremath{omega})$ can be obtained from $P(h)$. Indeed $S(stackrel{ensuremath{rightarrow}}{k},ensuremath{omega})$ provides a direct measurement of the symmetric part of $P(h)$ which also determines the energy, specific heat, etc., while the magnetization can be obtained from the antisymmetric part of $P(h)$. As an example, specific results for $P(h)$ are presented for the honeycomb, square, and triangular lattices with constant nearest-neighbor interactions. All three lattices exhibit a pronounced dip in the center of $P(h)$ at the transition temperature." @default.
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- W2079254486 date "1984-07-01" @default.
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- W2079254486 title "Local magnetic field distributions: Two-dimensional Ising models" @default.
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- W2079254486 doi "https://doi.org/10.1103/physrevb.30.250" @default.
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