Fig. 1: Estimation for the free diffusion model.
From: Inferring entropy production from time-dependent moments
a Estimation of the mean total entropy produced Stot(tf) for model (64) by using the first two moments (in orange) and first four moments (in blue). The grey curve is the exact result whose expression is given in Eq. (66). b The relative error in the estimated values compared to the exact value as a function of tf [see Eq. (74)]. Orange symbols represent error due to the first two moments while blue ones correspond to the first four moments. c Probability distribution of the total entropy produced stot(tf) for the optimal protocol obtained by fixing the first two moments (in orange) and first four moments (in blue) till time tf = 1. Here also, the grey symbols correspond to the simulation of Eq. (64). For both panels, we have used D = 1andkB = 1.
