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Exact interpolation between Fick and Cattaneo diffusion in relativistic kinetic theory

Gavassino, Lorenzo
arXiv (All) · Papers
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high-energy-physics-theorymathematical-physicsnuclear-theory
We construct a family of exactly solvable relativistic kinetic theories in $1+1$ dimensions whose hydrodynamic sector continuously interpolates between Fick's and Cattaneo's laws of diffusion. The interpolation is controlled by a single parameter $a\in[0,1]$, which tunes the microscopic scattering d
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