The thermodynamic functions of plasma under the influence of a weak magnetic field

The aim of this paper is to calculate the quantum thermodynamic functions until the third virial coefficient of plasma under the influence of a weak magnetic field. The calculation is based on the binary Slater sum in the case of a low density plasma, which is exact in a quadratic order with respect to the magnetic field. The method which was used is based on the Bloch equation. The second virial coefficient is obtained in the form of a convergent series expansion in terms of the interaction plasma parameter ξ a b = e a e b K T λ a b where λ a b being the thermal de Broglie wavelength between two particles. We compared our results with others.