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We study a dilute granular gas immersed in a thermal bath made of smallerparticles with masses not much smaller than the granular ones in this work.Granular particles are assumed to have inelastic and hard interactions, losingenergy in collisions as accounted by a constant coefficient of normalrestitution. The interaction with the thermal bath is modeled by a nonlineardrag force plus a white-noise stochastic force. The kinetic theory for thissystem is described by an Enskog--Fokker--Planck equation for the one-particlevelocity distribution function. To get explicit results of the temperatureaging and steady states, Maxwellian and first Sonine approximations aredeveloped. The latter takes into account the coupling of the excess kurtosiswith the temperature. Theoretical predictions are compared with directsimulation Monte Carlo and event-driven molecular dynamics simulations. Whilegood results for the granular temperature are obtained from the Maxwellianapproximation, a much better agreement, especially as inelasticity and dragnonlinearity increase, is found when using the first Sonine approximation. Thelatter approximation is, additionally, crucial to account for memory effectssuch as Mpemba and Kovacs-like ones.

Kinetic Theory and Memory Effects of Homogeneous Inelastic Granular Gases under Nonlinear Drag