Thermodynamic stability in relativistic viscous and spin hydrodynamics

被引：6
作者：
Ren, Xiang [1 ]
Yang, Chen [1 ]
Wang, Dong-Lin [1 ]
Pu, Shi [1 ,2 ]
机构：
[1] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China
[2] Chinese Acad Sci, Inst Modern Phys, Southern Ctr Nucl Sci Theory SCNT, Huizhou 516000, Guangdong Provi, Peoples R China
来源：
PHYSICAL REVIEW D | 2024年 / 110卷 / 03期
关键词：
NUCLEAR COLLISIONS; FLUID; CAUSALITY; POLARIZATION; TENSOR; FRAME;
D O I：
10.1103/PhysRevD.110.034010
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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.
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页数：16
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