Figure 1

(a) Probability density function of the position of a single GCN-driven particle in presence of the external potential Φ = x⁻¹² (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. (c) Probability density function of the distance between two GCN-driven particles interacting via the potential Φ = Δx⁻¹², same legend as Fig. (a). (d) 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, same legend as as Fig. (b).