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.
Universality Classes of Relativistic Fluid Dynamics: Foundations
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abstract
A general organizing principle is proposed that can be used to derive the equations of motion describing the near-equilibrium dynamics of causal and thermodynamically stable relativistic systems. The latter are found to display some new type of universal behavior near equilibrium that allows them to be grouped into universality classes defined by their degrees of freedom, information content, and conservation laws. The universality classes expose a number of surprising equivalences between different theories, shedding new light on the near-equilibrium behavior of relativistic systems.
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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.