A Statistical Mechanical View of the Determination of the Composition of Multi?Temperature Plasmas

Autor: André Lefort, Vincent Rat, Anthony B. Murphy, Pascal André, Marie-Françoise Elchinger, Pierre Fauchais, Jacques Aubreton
Přispěvatelé: Laboratoire arc électrique et plasmas thermiques (LAEPT), Centre National de la Recherche Scientifique (CNRS)-Université Blaise Pascal - Clermont-Ferrand 2 (UBP), Axe 2 : procédés de traitements de surface, Science des Procédés Céramiques et de Traitements de Surface (SPCTS), Université de Limoges (UNILIM)-Ecole Nationale Supérieure de Céramique Industrielle (ENSCI)-Institut des Procédés Appliqués aux Matériaux (IPAM), Université de Limoges (UNILIM)-Université de Limoges (UNILIM)-Institut de Chimie du CNRS (INC)-Centre National de la Recherche Scientifique (CNRS)-Université de Limoges (UNILIM)-Ecole Nationale Supérieure de Céramique Industrielle (ENSCI)-Institut des Procédés Appliqués aux Matériaux (IPAM), Université de Limoges (UNILIM)-Université de Limoges (UNILIM)-Institut de Chimie du CNRS (INC)-Centre National de la Recherche Scientifique (CNRS), CSIRO Telecommunications and Industrial Physics (CSIRO), Commonwealth Scientific and Industrial Research Organisation [Canberra] (CSIRO), Université Blaise Pascal - Clermont-Ferrand 2 (UBP)-Centre National de la Recherche Scientifique (CNRS)
Rok vydání: 2004
Předmět:
Zdroj: Plasma Chemistry and Plasma Processing
Plasma Chemistry and Plasma Processing, Springer Verlag, 2004, 24, N°3, pp.435-446. ⟨10.1007/s11090-004-2278-9⟩
Plasma Chemistry and Plasma Processing, 2004, 24, N°3, pp.435-446. ⟨10.1007/s11090-004-2278-9⟩
ISSN: 1572-8986
0272-4324
DOI: 10.1007/s11090-004-2278-9
Popis: It is important that plasma composition is calculated in a manner consistent with statistical mechanics, particularly since the Boltzmann equation is the basis from which transport coefficients and the fluid‐dynamic equations are derived. It is shown from statistical mechanical considerations based on the Boltzmann equation and the H‐theorem that it is (i) not possible for a plasma to have more than one temperature in equilibrium in the absence of external forces and gradients, and (ii) not possible to draw conclusions about the change in entropy of a plasma in the presence of external forces and gradients. Derivations of the two‐temperature Saha equation, and more generally calculations of the composition of a multi‐temperature plasma, that are based on entropy maximization are therefore invalid. A thermodynamic derivation of the composition of a multi‐temperature plasma that is consistent with the statistical mechanical results is presented. The derivation shows that the equilibrium composition of a plasma can be correctly calculated by minimization of the internal or free energy.
Databáze: OpenAIRE
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