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- W2045492486 abstract "We study the collective behavior of an Ising system on a small-world network with the interaction J(r) proportional to r(-alpha), where r represents the Euclidean distance between two nodes. In the case of alpha=0 corresponding to the uniform interaction, the system is known to possess a phase transition of the mean-field nature, while the system with the short-range interaction (alpha-->infinity) does not exhibit long-range order at any finite temperature. The Monte Carlo simulations are performed at various values of alpha, and the critical value alpha(c) beyond which the long-range order does not emerge is estimated to be 0. Thus, concluded is the absence of a phase transition in the system with the algebraically decaying interaction r(-alpha) for any nonzero positive value of alpha." @default.
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- W2045492486 date "2003-08-05" @default.
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- W2045492486 title "Phase transition in the Ising model on a small-world network with distance-dependent interactions" @default.
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- W2045492486 doi "https://doi.org/10.1103/physreve.68.027101" @default.
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