Vito Antonio Cimmelli

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The connection between higher order fluxes in Extended Thermodynamics and those in Non-Equilibrium Thermodynamics with dynamic degrees of freedom is investigated on the example of rigid heat conductors. The conditions under which some extended thermodynamic models can be obtained by a dynamic variable theory are pointed out. Thermodynamic closure relations(More)
The classical Newtonian mechanics does not imply any limit for the speeds of propagation of thermomechanical disturbances. However, the physicists firmly believe that the differential equations of nature should exclude instantaneous propagation and, therefore, they should be cast in the hyperbolic form. Yet, some equations of classical continuum mechanics(More)
We present the state of the art on the modern mathematical methods of exploiting the entropy principle in thermomechanics of continuous media. A survey of recent results and conceptual discussions of this topic in some well-known non-equilibrium theories (Classical irreversible thermodynamics CIT, Rational thermodynamics RT, Thermodynamics of irreversible(More)
The role of gradient dependent constitutive spaces is investigated on the example of Extended Thermodynamics of rigid heat conductors. Different levels of nonlocality are developed and the different versions of extended thermodynamics are classified. The local form of the entropy density plays a crucial role in the investigations. The entropy inequality is(More)
A nonlocal model for heat transfer with phonons and electrons is applied to infer the steady-state radial temperature profile in a circular layer surrounding an inner hot component. Such a profile, following by the numerical solution of the heat equation, predicts that the temperature behaves in an anomalous way, since for radial distances from the heat(More)
The role of gradient dependent constitutive spaces is investigated on the example of Extended Thermodynamics of rigid heat conductors. Different levels of nonlocality are developed. The local form of the entropy density plays a crucial role in the investigations. The entropy inequality is solved under suitable additional assumptions. Balance form of(More)
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