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The numerically determined, steady-state currents at finite N. The self-consistent currents were found by numerically finding the roots to the polynomial in J obtained by substituting the last line of Eq. 19 into the exact Eq. 1. (A) Steady-state currents as a function of the injection rate kC∞/p for R/a = 3 and various 
for 
N = 10, and N = 50 are compared. (B) J as a function of length N for 
and kC∞/p = 0.3,1. The current is relatively insensitive to N for 
