Dissipative currents and transport coefficients in relativistic spin hydrodynamics

We determine the form of dissipative currents at the first order in relativistic spin hydrodynamics with finite chemical potential including gradients of the spin potential. Taking advantage of isotropy in the hydrodynamic local rest frame, using a suitable matching condition for the flow velocity and enforcing the semipositivity of entropy production, we find 23 dissipative transport coefficients relating dissipative currents to gradients of the thermo-hydrodynamic fields: four for the symmetric part of the energy-momentum tensor, five for the antisymmetric part, three for the conserved vector current, and 11 for the spin tensor. We compare our finding with previous results in literature.