In the present paper we compare the theory of mixtures based on Rational Thermomechanics with the one obtained by Hamilton principle. We prove that the two theories coincide in the adiabatic case when the action is constructed with the intrinsic Lagrangian. In the complete thermodynamical case we show that we have also coincidence in the case of low temperature when the second sound phenomena arises for superfluid Helium and crystals.
Nel presente lavoro noi confrontiamo la teoria delle miscele basata sulla Termomeccanica Razionale con quella ottenuta da un principio di Hamilton. Noi proviamo che le due teorie coincidono nel caso adiabatico quando l’azione è costruita mediante la Lagrangiana intrinseca. Nel caso termodinamico completo si dimostra la coincidenza delle due teorie se ci si limita nel range di basse temperature dove i fenomeni di secondo suono sono presenti per l’Elio superfluido e nei cristalli.
@article{RLIN_2003_9_14_1_69_0,
author = {Henri Gouin and Tommaso Ruggeri},
title = {Hamiltonian principle in the binary mixtures of Euler fluids with applications to the second sound phenomena},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
volume = {14},
year = {2003},
pages = {69-83},
zbl = {1225.76045},
mrnumber = {2057275},
language = {en},
url = {http://dml.mathdoc.fr/item/RLIN_2003_9_14_1_69_0}
}
Gouin, Henri; Ruggeri, Tommaso. Hamiltonian principle in the binary mixtures of Euler fluids with applications to the second sound phenomena. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 14 (2003) pp. 69-83. http://gdmltest.u-ga.fr/item/RLIN_2003_9_14_1_69_0/
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