On the thermodynamics of continua in the presence of electromagnetic fields
type: Item
instance of: scholarly article
title: On the thermodynamics of continua in the presence of electromagnetic fields
zbMATH Open document ID: 0562.73006
author: Giulio Starita
published in: Ricerche di Matematica
publication date: 1982-01-01T00:00:00Z
review text: In Arch. Ration. Mech. Anal. 70, 355-371 (1979), \textit{J. Serrin} proposed to base rational thermodynamics on two laws valid for cyclic processes; thus the existence (in general) of an absolute temperature scale and (for a wide class of continua) of functions representing internal energy density and entropy density can be deduced, together with the Clausius- Duhem inequality (contrarywise examples of non-uniqueness for the entropy can be provided). The author together with \textit{D. Iannece} and \textit{A. Romano} has already contributed to extensions of Serrin's results [ibid. 75, 373-385 (1981; Zbl 0474.73003)]; here he considers a rigid continuum and a thermoelastic continuum interacting with an electromagnetic field and again proves for them, from Serrin's formulation of the two laws, existence of internal energy and entropy functions and validity of the Clausius-Duhem inequality. The subtle additional hypothesis concerns the existence of a one-parameter family of cyclic processes (which is not necessarily the family of 'retarded' processes).
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 80A10
zbMATH DE Number: 3896379
zbMATH Keywords: rational thermodynamics
zbMATH Keywords: cyclic processes
zbMATH Keywords: absolute temperature scale
zbMATH Keywords: functions representing internal energy density
zbMATH Keywords: entropy density
zbMATH Keywords: Clausius-Duhem inequality
zbMATH Keywords: rigid continuum
zbMATH Keywords: thermoelastic continuum
zbMATH Keywords: electromagnetic field
zbMATH Keywords: existence of a one-parameter family of cyclic processes
reviewed by: Gianfranco Capriz
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3896379