Effect of the Coriolis force on the electrical conductivity of quark matter: A nonrelativistic description

Rotating quarks and hadronic systems, produced in peripheral heavy ion collisions, can experience Coriolis force and other forces due to rotational motion. Considering only the effect of Coriolis force, we have calculated the electrical conductivity for nonrelativistic rotating matter using the relaxation time approximation under the Boltzmann transport equation. A similarity in mathematical calculations of electrical conductivity at finite rotation and finite magnetic fields is exposed, where an equivalence role between Coriolis force on massive particle's motion and Lorentz force on charged particle's motion is noticed. As the beginning level step, we consider only the Coriolis force in the nonrelativistic formalism, which will be extended in the future towards the relativistic case, and to adopt other forces for a more realistic description of the rotating quark and hadronic system.

Figure 1

Schematic depiction of a rotating cylinder and Coriolis force on the rotating particles.

Figure 2

Normalized electrical conductivity components vs temperature.

Figure 3

Variation of (normalized) conductivity components with respect to $\mathrm{\Omega }$.

Figure 4

Representation of different components of conductivity.