Linear response in the uniformly heated granular gas

We analyze the linear response properties of uniformly heated granular gas. The intensity stochastic driving fixes value temperature in nonequilibrium steady state reached by system. Here, we investigate two specific situations. First, look into ``direct'' relaxation system after a single (small) jump intensity. This study is carried out different methods. Not only do linearize evolution equations around state, but also derive generalized out-of-equilibrium fluctuation-dissipation relations for relevant functions. Second, behavior more complex experiment, specifically Kovacs-like protocol with jumps driving. emergence an anomalous Kovacs explained terms direct function: it second mode changing sign at critical inelasticity that demarcates from normal behavior. analytical results are compared numerical simulations kinetic equation, and good agreement found.