Spin hydrodynamics, emerging as an effective limit of quantum field theory, is applicable to a wide range of systems, including the quark-gluon plasma (QGP) produced in heavy-ion collision experiments. In this talk, we show results obtained by using relativistic quantum-statistical methods to derive the entropy production rate in such a system. After that, we discuss the preliminary results of a novel method developed using irreducible representations of SO(3) to decompose tensors in terms of its rotation-invariant components leading to the investigation of the dissipative effects in the system.
