Fig. 2: \({\dot{S}}\) and \({\mathcal{E}}\) for well-mixed Brusselator. | Nature Communications

Fig. 2: \({\dot{S}}\) and \({\mathcal{E}}\) for well-mixed Brusselator.

From: Irreversibility in dynamical phases and transitions

Fig. 2

a Typical trajectory in (X, Y) space for Δμ  =  6.2. The occupation probability distribution is shown in blue, with a subsection of a typical trajectory shown in black. The end of the trajectory is marked by the white circle. Inset shows the same information for the system at equilibrium, where Δμ = 0, with the same colorbar as the main figure. b \(\hat{{\mathcal{E}}}\) for Δμ  =  [3.5, 5.3, 6.2] shown in green, orange, and purple, respectively. Shaded area shows mean ± s.d. of \(\hat{{\mathcal{E}}}\) for N  =  50 simulations. \(\hat{{\mathcal{E}}}\) is symmetric in ω, so only the positive axis is shown. Inset shows the same curves on a log-log scale. c \(\dot{S}\) as a function of Δμ. Blue squares, orange triangles, and black circles show results for \({\dot{S}}_{{\rm{true}}}\), \({\dot{S}}_{{\rm{blind}}}\), and \(\hat{\dot{S}}\), respectively. Shaded area shows mean ± s.d. of \(\hat{\dot{S}}\) for N  =  50 simulations. Vertical red dashed line indicates ΔμHB. See Supplementary Table 2 for all simulation parameters.

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