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We can provide a rough estimate of the effect of alignment by assuming that alignment increases the mobility and the current along the channel by a factor of A compared to the unaligned case, and that the mobility in the perpendicular directions remains unchanged. Reference shows that W∝ 1/√Φ, where Φ is the factor change in the recombination rate. Consequently, Eq. 3 predicts that alignment will increase W by a factor of A0.25 and thus the exciton density will increase by A0.75. Therefore to yield the factor of 103 improvement in exciton density required, A must be at least 104, which seems very unlikely to be realized in reality. Furthermore, these assumptions are a best-case scenario, and in reality the current will increase by less than a factor of A due to the frequent interchain hops required to traverse the channel.
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We can provide a rough estimate of the effect of alignment by assuming that alignment increases the mobility and the current along the channel by a factor of A compared to the unaligned case, and that the mobility in the perpendicular directions remains unchanged. Reference shows that W∝ 1/√Φ, where Φ is the factor change in the recombination rate. Consequently, Eq. 3 predicts that alignment will increase W by a factor of A0.25 and thus the exciton density will increase by A0.75. Therefore to yield the factor of 103 improvement in exciton density required, A must be at least 104, which seems very unlikely to be realized in reality. Furthermore, these assumptions are a best-case scenario, and in reality the current will increase by less than a factor of A due to the frequent interchain hops required to traverse the channel.
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