Abstract
The standard first-order relativistic thermodynamic theories developed by Eckart [17.1] and Landau and Lifshitz [17.2] suffer from two main drawbacks: firstly, they predict an infinite speed for the propagation of thermal and viscous signals. This fact may be uncomfortable in classical thermodynamics, because of its inconsistency with the principle of causality and some experimental data, but it is certainly intolerable in any relativistic theory. Secondly, the transport equations of the first-order theory lead to some undesirable generic instabilities: as a matter of fact, small-amplitude disturbances from equilibrium diverge exponentially with time on very short time scales [17.3].
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Jou, D., Casas-Vázquez, J., Lebon, G. (2001). Relativistic Formulation. In: Extended Irreversible Thermodynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56565-6_17
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DOI: https://doi.org/10.1007/978-3-642-56565-6_17
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