The pressure of the two-dimensional Coulomb gas at low and intermediate temperatures. (English) Zbl 0631.76089

The properties of the Mayer series of the pressure are investigated. For \(\beta e^ 2\equiv \alpha^ 2\geq 8\pi\) it is proven that the series is asymptotic. For \(\alpha^ 2<8\pi\) it has been previously proven that only a finite number of terms of the series are finite; therefore the Mayer series is meaningless, nevertheless, its partial sum made up of the first terms (whose number increase as \(\alpha^ 2\to 8\pi)\) is asymptotic to the pressure.


76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82B40 Kinetic theory of gases in equilibrium statistical mechanics
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