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Centrality dependence of electrical and Hall conductivity at RHIC and LHC energies for a conformal system

  • Regular Article – Theoretical Physics
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Abstract

In this work, we study electrical conductivity and Hall conductivity in the presence of electromagnetic field using Relativistic Boltzmann Transport Equation with Relaxation Time Approximation. We evaluate these transport coefficients for a strongly interacting system consisting of nearly massless particles which is similar to Quark-Gluon Plasma and is likely to be formed in heavy-ion collision experiments. We explicitly include the effects of magnetic field in the calculation of relaxation time. The values of magnetic field are obtained for all the centrality classes of Au + Au collisions at \(\sqrt{s_\mathrm{NN}} =\) 200 GeV and Pb + Pb collisions at \(\sqrt{s_\mathrm{NN}} =\) 2.76 TeV. We consider the three lightest quark flavors and their corresponding antiparticles in this study. We estimate the temperature dependence of the electrical conductivity and Hall conductivity for different strengths of magnetic field. We observe a significant dependence of temperature on electrical and Hall conductivity in the presence of magnetic field.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a phenomenological work which includes all the necessary information in the manuscript and there is no associated data to be deposited.]

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Acknowledgements

The authors acknowledge the financial supports from ALICE Project No. SR/MF/PS-01/2014-IITI(G) of Department of Science & Technology, Government of India. RR acknowledge the financial support by DST-INSPIRE program of Government of India. Authors also thank Dr. Arvind Khuntia for useful discussions on numerical computation.

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Authors and Affiliations

  1. Department of Physics, Indian Institute of Technology Indore, Simrol, Indore, 453552, India

    Bhaswar Chatterjee, Rutuparna Rath, Golam Sarwar & Raghunath Sahoo

Authors
  1. Bhaswar Chatterjee
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  2. Rutuparna Rath
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  3. Golam Sarwar
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  4. Raghunath Sahoo
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Corresponding author

Correspondence to Raghunath Sahoo.

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Communicated by Giorgio Torrieri.

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Chatterjee, B., Rath, R., Sarwar, G. et al. Centrality dependence of electrical and Hall conductivity at RHIC and LHC energies for a conformal system. Eur. Phys. J. A 57, 45 (2021). https://doi.org/10.1140/epja/s10050-021-00348-4

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  • DOI: https://doi.org/10.1140/epja/s10050-021-00348-4

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