The entropy of electron-positron and ion plasma plays a significant role in the transportation of particles,
momentum, and energy. Drift waves in these plasmas produce central mechanisms for this transport. The
effects on tri-polar and quadrupolar vortexes in epi plasma have been analyzed numerically under various
approximations. As plasma consists of various elements, it is important to understand the effects of entropy on
systems. In this article, we have discussed how entropy affects linear and non-linear equations in the presence
of temperature, equilibrium density, electrostatic potential gradients, and a magnetic field. Additionally, by
investigating tri-polar and quadrupolar vortexes without regard for entropy effect we can find information
about this phenomenon.