In previous work I have discussed how and to what extent the thermodynamic concepts and the thermodynamic formalism can be extended to the description of high temperature states of the plasma not necessarily associated with a Boltzmann distribution and with thermal equilibrium. The present paper is a compressed version of this work, focused on the essential assumptions and on the essential results and emphasizing the conceptual unity that the thermodynamic approach reveals in the description of some general properties of different magnetic and electrostatic plasma states. For the derivation of the results and the discussion of critical aspects of the theory, see the original work: and the discussion of critical aspects of the theory, see the original work: http‐sol/www.mdpi.com/1099♯1F7E18 and the last version improved in many respects of the FP09/05 report: http://www.ifp.cnr.it/publications/2009.html♯MINOR7

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