## 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.

### MSC:

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

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