A theoretical study has explored the electric, thermal, and thermoelectric transport properties of a rotating pion gas, confined within a finite transverse radius and subjected to a magnetic field. The research focuses on how rotation and the magnetic field interact to influence electrical and thermal conductivity, as well as the Seebeck coefficient. Pions are subatomic particles that play a crucial role in the strong nuclear interaction, and understanding their behavior under extreme conditions is relevant for high-energy physics and dense matter.

The researchers explicitly calculated the limits for π⁺ pion condensation and ensured that the working regime remained outside these conditions to guarantee the validity of the transport coefficients. A notable finding is the asymmetry in condensation: while π⁺ pions can condense under certain conditions, π⁻ pions remain in an uncondensed state. Using the Boltzmann Transport Equation under the Relaxation Time Approximation, longitudinal electrical conductivity, thermal conductivity, and the Seebeck coefficient were determined.

The results reveal a complex interplay between the magnetic field and rotation. While a magnetic field tends to suppress transport coefficients in a static medium, rotation acts as an effective chemical potential, introducing an energy shift that favors their increase. Beyond a certain angular velocity, this rotational enhancement overcomes magnetic suppression, leading to an increase in transport coefficients even with an increasing magnetic field. Finally, the relative significance of charge and heat transport was analyzed through the Lorenz number, providing deeper insight into the transport characteristics of this rotating magnetized pion medium.