Abstract

It has previously been reported that, for Ising systems, the energy, magnetization, and neutron scattering function can be calculated directly from P(h), the local magnetic field distribution. In this paper it is shown that, in addition, one may also calculate the linear transverse susceptibility ${\ensuremath{\chi}}_{\ensuremath{\perp}}$ directly from P(h). With the use of earlier calculations of P(h), ${\ensuremath{\chi}}_{\ensuremath{\perp}}$ for the Sherrington-Kirkpatrick model is obtained analytically above ${T}_{g}$ and is obtained below ${T}_{g}$ from Monte Carlo simulations, where ${T}_{g}$ is the spin-glass transition temperature. It is speculated that ${\ensuremath{\chi}}_{\ensuremath{\perp}}$ may be nearly linear in temperature below ${T}_{g}$. Simple cubic ferromagnetic Ising systems in two, three, and four dimensions are also discussed.

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