Viscous coefficients and thermal conductivity of a gas mixture in the medium

Pallavi Kalikotay; Nilanjan Chaudhuri; Snigdha Ghosh; Utsab Gangopadhyaya; Sourav Sarkar

doi:10.1140/epja/s10050-020-00074-3

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2024 Impact factor 2.8

Hadrons and Nuclei

Eur. Phys. J. A (2020) 56: 79
https://doi.org/10.1140/epja/s10050-020-00074-3

Regular Article –Theoretical Physics

Viscous coefficients and thermal conductivity of a $\pi K N$ gas mixture in the medium

Pallavi Kalikotay¹, Nilanjan Chaudhuri²^,4, Snigdha Ghosh³^*, Utsab Gangopadhyaya² and Sourav Sarkar²^,4

¹ Department of Physics, Kazi Nazrul University, Asansol, West Bengal, 713340, India
² Variable Energy Cyclotron Centre, 1/AF Bidhannagar, Calcutta, 700064, India
³ Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Calcutta, 700064, India
⁴ Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai, 400085, India

^* e-mail: snigdha.physics@gmail.com
^** e-mail: snigdha.ghosh@saha.ac.in

Received: 7 August 2019
Accepted: 15 January 2020
Published online: 9 March 2020

Abstract

The temperature and density dependence of the relaxation times, thermal conductivity, shear viscosity and bulk viscosity for a hot and dense gas consisting of pions, kaons and nucleons have been evaluated in the kinetic theory approach. The in-medium cross-sections for $\pi \pi$ , $\pi K$ and $\pi N$ scatterings were obtained by using complete propagators for the exchanged $\rho$ , $\sigma$ , $$K^*$$ and $\Delta$ excitations derived using thermal field theoretic techniques. Notable deviations can be observed in the temperature dependence of $\eta$ , $\zeta$ and $\lambda$ when compared with corresponding calculations using vacuum cross-sections usually employed in the literature. The value of the specific shear viscosity $\eta /s$ is found to be in agreement with available estimates.