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- W1987650489 abstract "We report here Monte Carlo calculations for a classical system, consisting of three-component unit vectors associated with a one-dimensional lattice {${mathrm{u}}_{k}$ensuremath{Vert}kensuremath{in}Z} and interacting via the ferromagnetic pair potential ${V}_{mathrm{jk}}$=-ensuremath{epsilon}ensuremath{Vert}j-k${ensuremath{Vert}}^{mathrm{ensuremath{-}}2}$${(mathrm{u}}_{j}$ensuremath{cdot}${mathrm{u}}_{k}$), ensuremath{epsilon}>0. The system has been proved rigorously to disorder at all finite temperatures. Simulation results exhibit a significant amount of finite-range orientational order, slowly decaying with temperature; they also show ``spontaneous'' ordering setting in at ${T}^{mathrm{*}}$ensuremath{le}0.8, which may conceivably reflect a conjectured transition to a low-temperature phase with infinite susceptibility [E. Sifmmode check{}else v{}fi{}im'anek, Phys. Lett. A 119, 477 (1987)]." @default.
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- W1987650489 date "1989-09-01" @default.
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- W1987650489 title "Monte Carlo simulation of a disordered classical Heisenberg system in one dimension and with long-range ferromagnetic interactions" @default.
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- W1987650489 doi "https://doi.org/10.1103/physrevb.40.4970" @default.
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