Thermodynamic stability in relativistic viscous and spin hydrodynamics

Authors:
Publisher website
Google Scholar
Abstract
We have applied thermodynamic stability analysis to derive the stability and causality conditions for conventional relativistic viscous hydrodynamics and spin hydrodynamics. We obtain the thermodynamic stability conditions for second-order relativistic hydrodynamics with shear and bulk viscous tensors, finding them identical to those derived from linear mode analysis. We then derive the thermodynamic stability conditions for minimal causal extended second-order spin hydrodynamics in canonical form, both with and without viscous tensors. Without viscous tensors, the constraints from thermodynamic stability exactly match those from linear mode analysis. In the presence of viscous tensors, the thermodynamic stability imposes more stringent constraints than those obtained from linear mode analysis. Our results suggest that conditions derived from thermodynamic stability analysis can guarantee both causality and stability in linear mode analysis.
Funding Information
  • National Key Research and Development Program of China (2022YFA1605500)
  • Chinese Academy of Sciences (YSBR-088)
  • National Natural Science Foundation of China (12075235, 12135011)
  • National Key Research and Development Program of China (2022YFA1605500)
  • Chinese Academy of Sciences (YSBR-088)
  • National Natural Science Foundation of China (12075235, 12135011)

This publication has 116 references indexed in Scilit: