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• W3102509869 abstract "Quenched thermodynamic states of an amorphous ferromagnet are studied. The magnet is a countable collection of point particles chaotically distributed over $mathbb{R}^d$, $dgeq 2$. Each particle bears a real-valued spin with symmetric a priori distribution; the spin-spin interaction is pair-wise and attractive. Two spins are supposed to interact if they are neighbors in the graph defined by a homogeneous Poisson point process. For this model, we prove that with probability one: (a) quenched thermodynamic states exist; (b) they are multiple if the particle density (i.e., the intensity of the underlying point process) and the inverse temperature are big enough; (c) there exist multiple quenched thermodynamic states which depend on the realizations of the underlying point process in a measurable way." @default.
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• W3102509869 date "2014-04-22" @default.
• W3102509869 modified "2023-09-27" @default.
• W3102509869 title "A Phase Transition in a Quenched Amorphous Ferromagnet" @default.
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• W3102509869 doi "https://doi.org/10.1007/s10955-014-0996-9" @default.
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