Snapshots from a simulation with 80 000, ℓ p /L = 1000, and w = 1, showing the buckling instability at the stagnation points at cell corners.
Center-of-mass trajectories of polymers: (a)–(d) correspond to four different cell sizes W at the same 20 000 and ℓ p /L = 1000, each showing four different trajectories; (e) shows the case of a single polymer with W = πL and 20 000, but ℓ p /L = 10 (enhanced online). [URL: http://dx.doi.org/10.1063/1.4812794.1]doi: 10.1063/1.4812794.1.
(a) Mean square displacement d 2(t) of the filament center-of-mass as a function of time at 20 000 for three values of ℓ p /L, where the long-time behavior follows an approximate power law d 2(t) ∝ t α. (b) Dependence of the exponent α on the reduced persistence length ℓ p /L. (c) Distribution of waiting times, defined as periods of time spent by a filament inside a given cell, in simulations with 20 000 and ℓ p /L = 10.
(a) Frequency distribution of the magnitude of the center-of-mass velocity for various values of ℓ p /L at 20 000. (b) Contours of the fluid velocity magnitude inside a given cell, indicating that the value of corresponds approximately to the largest ring of uniform velocity within the cell.
Probability distributions of mass of the polymer in a unit cell at 20 000 for different values of ℓ p /L. Probabilities are normalized to be unity for a uniform distribution.
Steady-state solution of the Fokker-Planck equation (13) at Pe = 10 000 for rigid rods of aspect ratio ε = 0.01.
Characteristic distributions of filament configurations in a unit cell with (a) and ℓ p /L = 1000 and (b) 10 000 and ℓ p /L = 100.
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