In this short note, a correction is made to the recently proposed solution  to a 1D biased diffusion model for linear DNA translocation and a new analysis will be given  ] ]  ]  ]  ] ]  .
In this short note, a correction is made to the recently proposed solution 1 to a 1D biased diffusion model for linear DNA translocation and a new analysis will be given to the data in 1]. It was pointed out 2] by us recently that this 1D linear translocation model is equivalent to the one that was considered by Schrodinger 3] for the Enrenhaft-Millikan measurements 4,5] on electron charge. Here we apply Schrodinger's first-passage-time distribution formula to the data set in 1]. It is found that Schrodinger's formula can be used to describe the time distribution of DNA translocation in solid-state nanopores. These fittings yield two useful parameters: drift velocity of DNA translocation and diffusion constant of DNA inside the nanopore. The results suggest two regimes of DNA translocation: (I) at low voltages, there are clear deviations from Smoluchowski's linear law of electrophoresis 6] which we attribute to the entropic barrier effects; (II) at high voltages, the translocation velocity is a linear function of the applied electric field. In regime II, the apparent diffusion constant exhibits a quadratic dependence on applied electric field, suggesting a mechanism of Taylor dispersion effect likely due the electro-osmotic flow field in the nanopore channel. This analysis yields a dispersion-free diffusion constant value for the segment of DNA inside the nanopore which is in agreement with Stokes-Einstein theory quantitatively. The implication of Schrodinger's formula for DNA sequencing is discussed .
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1
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to the data in
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1
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. It was pointed out
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2
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by us recently that this 1D linear translocation model is equivalent to the one that was considered by Schrodinger
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3
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for the Enrenhaft-Millikan measurements
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4,5
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on electron charge. Here we apply Schrodinger's first-passage-time distribution formula to the data set in
A
1
A
. It is found that Schrodinger's formula can be used to describe the time distribution of DNA translocation in solid-state nanopores. These fittings yield two useful parameters: drift velocity of DNA translocation and diffusion constant of DNA inside the nanopore. The results suggest two regimes of DNA translocation: (I) at low voltages, there are clear deviations from Smoluchowski's linear law of electrophoresis
A
6
A
which we attribute to the entropic barrier effects; (II) at high voltages, the translocation velocity is a linear function of the applied electric field. In regime II, the apparent diffusion constant exhibits a quadratic dependence on applied electric field, suggesting a mechanism of Taylor dispersion effect likely due the electro-osmotic flow field in the nanopore channel. This analysis yields a dispersion-free diffusion constant value for the segment of DNA inside the nanopore which is in agreement with Stokes-Einstein theory quantitatively. The implication of Schrodinger's formula for DNA sequencing is discussed