Time dependence. (a) Results, obtained by integrating Equations 5 to 7, for the time dependence of the areal density of trapped impurities (continuous lines) at the entrance of the channel n(x = 0,t) and at its exit point n(x = L,t), and also the global average areal density of trapped impurities . The areal density axis is normalized by the saturation value nsat. The time axis is normalized by the half-saturation time, defined by . The parameter values used are as follows (see main text for details): ρ0 = 13 nm, ρ1 = 0.11, λD = 5.1 nm, , r0 = 500 nm, , Ω0 = 0, Ω1z0 = 1.2 × 105/m, L = 7.25 mm, P = 3×105 Pa, η = 10−3 Pa·s, and . We also show the linear, logarithmic, and saturated behaviors (as dashed, dotted, and dot-dashed lines respectively). (b) Time dependence of the logarithmic removal value (LRV), calculated using the same parameter values as in Figure 2a.
Ramallo Nanoscale Research Letters 2013 8:19 doi:10.1186/1556-276X-8-19