A causal microscopic kinetic model can reproduce arbitrary rest-frame stable dissipative dispersion relations at real k through suitable initialization, providing a counterexample to claims that micro-causality alone restricts the analytic form of such relations.
Gavassino, Phys
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Normal mode analysis of the relativistic Boltzmann equation for massive particles reveals coupling between sound and heat channels, mass-dependent critical wavenumbers, and an infinite branch cut for Landau damping.
Analytic computation via kinetic theory of retarded current-current correlators in magnetized relativistic plasma, with transverse charge diffusion scaling as 1/B0^2 while longitudinal diffusion is unaffected.
A model with unbounded energy-dependent relaxation times shows divergent gradient expansion and nonlocal hydrodynamics, resulting in superdiffusion for singular spectra.
Authors derive new Kubo formulae for transport coefficients by analyzing analytic structures of stress-energy response functions in second- and third-order hydrodynamics.
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How acausal equations emerge from causal dynamics
A causal microscopic kinetic model can reproduce arbitrary rest-frame stable dissipative dispersion relations at real k through suitable initialization, providing a counterexample to claims that micro-causality alone restricts the analytic form of such relations.
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Retarded Correlators of Charge Transport in a Magnetic Field
Analytic computation via kinetic theory of retarded current-current correlators in magnetized relativistic plasma, with transverse charge diffusion scaling as 1/B0^2 while longitudinal diffusion is unaffected.
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Hydrodynamics without a relaxation gap: memory effects, nonlocality, and superdiffusion
A model with unbounded energy-dependent relaxation times shows divergent gradient expansion and nonlocal hydrodynamics, resulting in superdiffusion for singular spectra.