A quantitative analysis shows that observer-dependent effects in a new relativistic diffusion theory scale like the square root of time, slower than standard truncation errors, yet remain finite as speeds approach light.
Relativistic Liquids: GENERIC or EIT?
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abstract
We study the GENERIC hydrodynamic theory for relativistic liquids formulated by Ottinger and collaborators. We use the maximum entropy principle to derive its conditions for linear stability (in an arbitrary reference frame) and for relativistic causality. In addition, we show that, in the linear regime, its field equations can be recast into a symmetric-hyperbolic form. Once rewritten in this way, the linearised field equations turn out to be a particular realization of the Israel-Stewart theory, where some of the Israel-Stewart free parameters are constrained. This also allows us to reinterpret the GENERIC framework in view of the principles of Extended Irreversible Thermodynamics (EIT) and to discuss its physical relevance to model (possibly viscoelastic) fluids.
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Noncovariant parabolic theories of relativistic diffusion
A quantitative analysis shows that observer-dependent effects in a new relativistic diffusion theory scale like the square root of time, slower than standard truncation errors, yet remain finite as speeds approach light.