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• W2557520216 endingPage "015003" @default.
• W2557520216 startingPage "015003" @default.
• W2557520216 abstract "In this paper we solve the Blume-Capel model on a complete graph in the presence of random crystal field with a distribution, $P(Delta_i) =pdelta(Delta_i-Delta)+(1-p) delta(Delta_i+Delta)$, using large deviation techniques. We find that the first order transition of the pure system is destroyed for $0.046<p<0.954$ for all values of the crystal field, $Delta$. The system has a line of continuous transition for this range of $p$ from $-infty <Delta <infty$. For values of $p$ outside this interval, the phase diagram of the system is similar to the pure model, with a tricritical point separating the line of first order and continuous transitions. We find that in this regime, the order vanishes for large $Delta$ for $p<0.046$(and for large $-Delta$ for $p>0.954$) even at zero temperature." @default.
• W2557520216 created "2016-12-08" @default.
• W2557520216 creator A5009262162 @default.
• W2557520216 creator A5068177484 @default.
• W2557520216 date "2016-11-29" @default.
• W2557520216 modified "2023-10-09" @default.
• W2557520216 title "Absence of first order transition in the random crystal field Blume–Capel model on a fully connected graph" @default.
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• W2557520216 doi "https://doi.org/10.1088/1751-8113/50/1/015003" @default.
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