Fig. 4: Polymer trajectories and distributions for the trapping time and hop length.
From: A geometric criterion for the optimal spreading of active polymers in porous media
a Representative (1D) displacements, Δxc(t), of polymers with different reversal rates, λ, as a function of time for Pe = 50. Horizontal solid lines indicate the trapping phases for different λ. (Inset) Particle trajectories of the center monomer of a rarely reversing polymer, λτ0 = 5 · 10−4 (black ; magnified by a factor of 4), and moderately reversing polymers, λτ0 = 0.5 and 15 (blue and red, respectively). The trajectories are shown in the xy plane, (Δxc(t), Δyc(t)). b Trapping time distribution φT(t) and c hop length distribution \({\varphi }_{{\ell }_{H}}(\ell )\) for Pe = 50 and different reversal rates, λ, extracted from individual trajectories. The inset in b shows the fraction of time spent hopping p = τH/(τH + τT) and the average trapping time τT/τ0 as a function of λτ0. The black solid line in panel c indicates the chord length distribution of the medium \({\varphi }_{{L}_{c}}(\ell )\). The inset in c shows the average hopping length 〈ℓH〉 normalized by the average chord length 〈Lc〉 of the porous medium. Source data are provided as a Source Data file.
