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Instability in Relativistic Chiral Magnetohydrodynamics

Rahbardar Mojaver, Mehrnoosh | 2021

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 53686 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Sadooghi, Neda; Shokri, Masoud
  7. Abstract:
  8. Magnetohydrodynamic is used to study many phenomena. In non-relativistic terms, it can be used to express dynamo theory and to study the evolution of a magnetic field in a conductive fluid medium. In the case of fluid particles having chiral imbalance, the instability associated with this property is observed in the system response to the small perturbation from the equilibrium state. In a relativistic framework, these equations can describe the quark-gluon plasma in the heavy ions collision in a decentralized manner and the nucleus of neutron stars. In many studies, chirality has been considered for such environments. Obtaining the dispersion relation and investigating the response of the system to relax to equilibrium due to the perturbation can well reveal the effects of this disturbance in the environment. In this thesis, first, the evolution of non-relativistic conductive fluid in the presence of a magnetic field is investigated by reviewing existing references. Then, the relativistic fluid response to the small oscillation perturbation is obtained from the dispersion relation. According to the causality investigations, it always has a magnifying response in time that is independent of the parameters in the problem and impossible to solve, which generally causes instability
  9. Keywords:
  10. Instability ; Causality ; Dispersion Relation ; Relativistic Magnetohydrodynamics ; Relativistic Chiral Magnetohydrodynamics

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