Fig. 3: Effective diffusivities of active polymers spreading in porous media.
From: A geometric criterion for the optimal spreading of active polymers in porous media
a Effective diffusivities, \({D}_{\,{{{{\mbox{eff}}}}}}^{{{{{\mbox{sim}}}}}\,}\), extracted from the simulations (filled symbols, solid lines) as a function of the scaled path length Λ determined by the trade-off between the maximal chord length \({L}_{c,\max }\) and the run length of the polymer ℓrun = vc/λ, for different Péclet numbers. Dashed lines correspond to the theoretical predictions [equation (5)] of the hop-and-trap model with parameters extracted from individual trajectories. b Effective diffusivities, \({D}_{\,{{{{\mbox{eff}}}}}}^{{{{{\mbox{sim}}}}}\,}\), as a function of the reversal rate λτ0 for porous environments with different number of obstacles N. c Rescaled effective diffusivities, \({D}_{\,{{{{\mbox{eff}}}}}}^{{{{{\mbox{sim}}}}}\,}\), of run-reverse (RR) and run-and-tumble (RT) polymers for Pe = 50 and different N. The data are rescaled by the maximal pore length \({L}_{c,\max }\) extracted from the chord-length distributions in Fig. 1e. Source data are provided as a Source Data file.
