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Transformation properties in nonequilibrium- relativistic thermomechanics as compared with those in a field theory

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  • Berezin, V.T.

Abstract

Certain tensor relationships stemmed from the Lagrangians for both field and thermomechanical systems are set out with respect to arbitrary infinitesimal transformations of a reference frame. The procedures of transformation variation of these Lagrangians are dissimilar. Nevertheless, for the systems considered, the secondary identities arising in the present work coincide superficially with each other, though their internal structure is different. The analysis is advanced far enough as compared to the common one. It is found that one identity obtained serves as an alternative determination of the energy-momentum tensor giving the same result as the usual determination (cf. (45) and (69) below). No moment identity (like in Noether's theorem) appears. Thus in fact, all the knowledge on transformation properties of a system Lagrangian is reduced to one identity expressing the local conservation of energy-momentum. The proper magnetic moments due to the spins of the particles, the interaction of matter with the electromagnetic field, and the dissipative processes are taken into account on the basis of the author's previous papers1,2).

Suggested Citation

  • Berezin, V.T., 1984. "Transformation properties in nonequilibrium- relativistic thermomechanics as compared with those in a field theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 127(1), pages 282-315.
    • Handle: RePEc:eee:phsmap:v:127:y:1984:i:1:p:282-315
    DOI: 10.1016/0378-4371(84)90132-8
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