Abstract
We studied the causality and stability of the relativistic dissipative non-resistive magnetohydrodynamics. We perturbed the system around a global equilibrium state and linearized the system of equations to obtain the dispersion relation. The asymptotic causality conditions were found to be independent of the magnitude of the magnetic field and the direction of propagation for all the propagating modes except the shear-Alfvén modes. For the finite number density, the causality criteria remains the same with the modified sound velocity.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
A. Bzdak, V. Skokov, Phys. Lett. B 710, 171–174 (2012), arXiv:1111.1949 [hep-ph]
W.A. Hiscock, L. Lindblom, Phys. Rev. D 31, 725–733 (1985)
W. Israel, J.M. Stewart, Annals Phys. 118, 341–372 (1979)
S. Pu, T. Koide, D.H. Rischke, Phys. Rev. D 81, 114039 (2010), arXiv:0907.3906 [hep-ph]
R. Biswas, A. Dash, N. Haque, S. Pu, V. Roy, JHEP 10, 171 (2020), arXiv:2007.05431 [nucl-th]
Acknowledgements
RB and VR acknowledge financial support from the DST Inspire faculty research grant (IFA-16-PH-167), India.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Biswas, R., Dash, A., Haque, N., Roy, V. (2022). Causality and Stability in Relativistic Dissipative Non-resistive Magnetohydrodynamics. In: Mohanty, B., Swain, S.K., Singh, R., Kashyap, V.K.S. (eds) Proceedings of the XXIV DAE-BRNS High Energy Physics Symposium, Jatni, India. Springer Proceedings in Physics, vol 277. Springer, Singapore. https://doi.org/10.1007/978-981-19-2354-8_82
Download citation
DOI: https://doi.org/10.1007/978-981-19-2354-8_82
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-19-2353-1
Online ISBN: 978-981-19-2354-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)