1987
DOI: 10.1088/0022-3727/20/1/012
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The steady-state equation for Brownian diffusion in the presence of particle coagulation

Abstract: A calculation is given of the spatial variation of phi , the volume fraction of particulate material, during one-dimensional steady-state diffusivity transport in an aerosol, taking coagulation of the particles into account. The effect of the latter is to modify the linear variation in phi which would otherwise exist, and detailed analytic results are obtained in the regimes Kn<<1 and Kn>>1. It is shown that if coagulation effects are sufficiently strong the spatial variation of phi can exhibit a m… Show more

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Cited by 21 publications
(19 citation statements)
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“…This is due to the lowering of carrier lifetime in traps with increase in temperature, which increases the number of free carriers; consequently the transition from ohmic to non‐ohmic behaviour occurs at higher fields with increase in temperature 20. These results cannot be explained on the basis of space charge limited current, because the slope for this type of mechanism has been observed to be around two 21. The other possible mechanisms are, (a) charge carrier injection into the film from the contact via field‐assisted lowering of the metal insulator potential barrier ie Schottky–Richardson (SR) emissions, and (b) release of charge carriers from traps via field‐assisted lowering of trap depth ie the Poole–Frenkel (PF) effect.…”
Section: Resultsmentioning
confidence: 99%
“…This is due to the lowering of carrier lifetime in traps with increase in temperature, which increases the number of free carriers; consequently the transition from ohmic to non‐ohmic behaviour occurs at higher fields with increase in temperature 20. These results cannot be explained on the basis of space charge limited current, because the slope for this type of mechanism has been observed to be around two 21. The other possible mechanisms are, (a) charge carrier injection into the film from the contact via field‐assisted lowering of the metal insulator potential barrier ie Schottky–Richardson (SR) emissions, and (b) release of charge carriers from traps via field‐assisted lowering of trap depth ie the Poole–Frenkel (PF) effect.…”
Section: Resultsmentioning
confidence: 99%
“…Therefore, searching the poles of the 1 p ‐GF is in general equivalent to solving a secular equation of the type 61 with …”
Section: Implications Of Charge Inhomogeneities In Green's Function Tmentioning
confidence: 99%
“…As the N9H bond stretches, the σ* energy curve descends and the π* energy curve rises, and the σ*‐ π* state crossing occurs at ∼1.22 Å, giving rise to a barrier for the N9H bond cleavage. For comparison, such energy curves have been calculated using the so‐called stabilization method 39–42 at the SCF level, using the 6‐31+G( d,p ) basis set. The results obtained from stabilization extrapolations indicate that the anion energy curves are similar to those depicted in Figure 8 and the σ* state intersects the neutral energy curve at ∼1.43 Å.…”
Section: Resultsmentioning
confidence: 99%