Figure 4
From: Power of Ensemble Diversity and Randomization for Energy Aggregation
Time evolution of the energy consumption to its equilibrium value \(|{N}_{\uparrow }(t)-1/2|\) is shown. Four subfigures correspond to the four different DPD cases: Gaussian (top left), Laplacian (top right), Lorentzian (bottom left), and uniform finite-support (bottom right), described by Eqs (7), (8), (9) and (10), respectively. Particle simulations are compared with analytic predictions, with the latter limited to accounting only for the two dominant modes corresponding to λ0;−, λ−1;−. Parameters chosen for the illustration are \(r=10\), \({\tau }_{0}=3\), \(-\,{x}_{\downarrow }={x}_{\uparrow }=1\), and \(N={10}^{5}\). Two different levels of the disorder, with \({\rm{\Delta }}=0\) and 0.1, are shown in each subfigure.
