Figure 2
From: Multidimensional stationary probability distribution for interacting active particles
(a) Probability density function of the radial distance of one GCN-driven particle in presence of the spherically symmetric external potential Φ = (r − R)−12 in 2d (shaded area). Full lines: simulations, dashed lines: theory, dashed-dotted line: Boltzmann distribution. The curve with the higher peak corresponds to D = 100μm2 /s, τ = 1 s and the one with the lower peak to D = 0.4μm2 /s, τ = 0.1 s, (zoomed in the inset) (b) Average value of |Φ'| as a function of D for three different values of τ = 0.1, 0.325, 1 s from top to bottom respectively. Points: simulations, full lines: theory, dashed lines: theory in the limit of a hard potential, dashed dotted line: white noise case with a hard potential.
