Fig. 4: Non-equilibrium steady-state of free diffusion under adaptive resetting.
From: Adaptive resetting for informed search strategies and the design of non-equilibrium steady-states

Non-equilibrium steady-state for one-dimensional diffusion with a resetting rate r(x)  =  r0xλ, for r0  =  1 and \(\lambda=\left\{0,1,2,3\right\}\): a The probability distribution as a function of x on a semi-log scale. b The negative logarithm of the probability distribution on a log-log scale. Analytic solutions are given in red, results from brute-force simulations in yellow, and estimations based on trajectories with no resetting in blue. The black dotted lines in (b) give linear fits in the region x > 3.25.