Displaying similar documents to “An amendment to the second law.”

The entropy principle: from continuum mechanics to hyperbolic systems of balance laws

Tommaso Ruggeri (2005)

Bollettino dell'Unione Matematica Italiana

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We discuss the different roles of the entropy principle in modern thermodynamics. We start with the approach of rational thermodynamics in which the entropy principle becomes a selection rule for physical constitutive equations. Then we discuss the entropy principle for selecting admissible discontinuous weak solutions and to symmetrize general systems of hyperbolic balance laws. A particular attention is given on the local and global well-posedness of the relative Cauchy problem for...

Entropy flux far from equilibrium in solids and in non viscous gases

M. S. Mongiovì, R. A. Peruzza (2004)

Bollettino dell'Unione Matematica Italiana

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One of the main question arising in Extended Thermodynamics concerns the physical meaning of the temperature far from equilibrium. Some authors define thermodynamic temperature T t ⁢ h the inverse of the coefficient linking the entropy flux with the heat flux. Other authors, instead, define non-equilibrium temperature θ the inverse of the partial derivative of entropy with respect to energy, at density and heat flux constant. The aim of this paper is to determine the expression of entropy...

Supplementary balance laws for Cattaneo heat propagation

Serge Preston (2013)

Communications in Mathematics

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In this work we determine for the Cattaneo heat propagation system all the supplementary balance laws (shortly SBL) of the same order (zero) as the system itself and extract the constitutive relations (expression for the internal energy) dictated by the Entropy Principle. The space of all supplementary balance laws (having the functional dimension 8) contains four original balance laws and their deformations depending on 4 functions of temperature ( λ 0 ( ϑ ) , K A ( ϑ ) , A = 1 , 2 , 3 ). The requirements of the II law...