On phantom thermodynamics with negative temperature

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We discuss the thermodynamic properties of the Friedmann-Robertson-Walker universe with dark energy fluids labelled by $ω=p/ρ<-1/3$. Using the integrability condition, we show that the phantom phase of $w<-1$ can still be thermodynamically allowed even when the temperature takes on negative values because in that case, there exists at least a condition of keeping physical values for $p$ and $ρ$
8 pages, 1figure, title changed, version to appear in PLB

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