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Infinite homogeneous plasma’s thermal instability has been studied in relation to finite ion Larmor radius (FLR) corrections, rotation, and porosity, as well as the impacts of radiative heat-loss function and thermal conductivity. With the aid of a normal mode analysis framework and the necessary difficulty-appropriate linearized perturbation equations, a universal dispersion relation is investigated. For the propagation of transverse waves, this dispersion relationship further condenses for rotation axes parallel to and at right angles to the magnetic field. It is proven that the presence of rotation, porosity, thermal conductivity, and radiative heat-loss function altered the thermal instability criterion. To show how different parameters affect the rate at which the thermal instability grows, numerical calculations have been carried out. We discover that rotation, FLR corrections, and medium porosity stabilised the growth rate of the thermal system in the transverse mode of propagation. The conclusion of this research states that the rotation, porosity, and FLR corrections have an impact on the configuration of dense molecular clouds and star formation.

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The impact of rotation, finite ion Larmor radius (FLR) corrections and porosity on the thermal criterion of instability of infinite uniform plasma has been carried out by including the effects of radiative heat-loss function and thermal conductivity. The universal dispersion relation is obtained by resources of the normal mode analysis technique by the use of suitable linearized perturbation equations of the problem. This dispersion relation is additionally condenses for rotation axis parallel and perpendicular to the magnetic field for transverse wave propagation. Thermal instability criterion set up the stability of the medium. Numerical computations have been carried out to show the impacts of different parameters on the growth rate of the thermal instability. We conclude that rotation, FLR corrections and medium porosity stabilize the growth rate of the system in the transverse mode of propagation. Our result reveals that the rotation, porosity and FLR corrections affect the dens molecular clouds arrangement and star development in interstellar medium.