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Relativistic Magnetohydrodynamics of a Spinful and Vortical Fluid: Entropy Current Analysis and Transport Coefficients

Seⅾighi Jafari, Ⅿahⅾi | 2023

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 56334 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Sadooghi, Neda; Kiamari, Motahareh
  7. Abstract:
  8. Fluid Mechanics can be considered as an effective method for studying many-body effects in classical and quantum systems. In recent years, relativistic hydrodynamics has found different applications in different branches of physics. One of these applications is the quantitative description of the experimental behavior of relativistic heavy-ion collisions. More specifically, studying fluid mechanics in the presence of magnetic fields (magnetohydrodynamics) and vorticity is of great importance in heavy-ion collision experiments. In this framework, on the one hand, the interaction between spin and magnetic field, and on the other hand, the interaction between spin and angular momentum of the fluid need special consideration. Recently, different formalisms have been introduced for taking spin degrees of freedom in relativistic fluid mechanics into account. In this thesis, we use the entropy current analysis method to explore zeroth and first-order dissipative hydrodynamics. This method is only based on thermodynamics laws. We first generalize the recent formulation of spin hydrodynamics by inserting magnetic fields in the formalism and observe that in the zeroth order (ideal fluid) energy-momentum tensor includes terms exhibiting the interaction between spin and magnetic field and also spin and vorticity. We then consider the first-order dissipation analysis and obtain the constraints on the corresponding transport coefficients due to the symmetries of the fluid
  9. Keywords:
  10. Quark-Gluon Plasma ; Transport Coefficients ; Relativistic Magnetohydrodynamics ; Vorticity ; Entropy Current Analysis ; Relativistic Spin-Hydrodynamics

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