Metastable state of three-component two-temperature plasma and fireball problem

It has been shown that like-charged particles inside electroneutral plasma can be attracted to each other, in contrast with non-electroneutral plasma considered in the literature, where such particles electrostatically repulse when they have any distance between them. We have calculated an analytical formula for the free energy of electroneutral three-component two-temperature plasma, from the basis of the Poisson–Boltzmann electrostatic equation. It is shown that free energy has a local minimum when the temperature of electrons exceeds 2000 K, when the quantity of electrons is less than 20% of the total quantity of negatively charged particles, when the temperature of ions is 300 K and when the distance between ions is several Debye radii. Plasma of a specified structure, temperature and density can mimic a fireball substance, in contrast with, for example, two-component isothermal plasma which has no minimum free energy at any interparticle distance.