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An incremental mean first passage analysis for a quasistatic model of polymer translocation through a nanopore
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10.1063/1.3580769
/content/aip/journal/jcp/134/15/10.1063/1.3580769
http://aip.metastore.ingenta.com/content/aip/journal/jcp/134/15/10.1063/1.3580769

Figures

Image of FIG. 1.
FIG. 1.

Plot of the entropic barrier for polymer sizes N = 102,103,104,105 for γ = 0.50.

Image of FIG. 2.
FIG. 2.

Schematic of the one-dimensional biased random walk model of translocation. Here, N = 15 and s = 4.

Image of FIG. 3.
FIG. 3.

t 0 vs |Δs| for N = 500, 1000, 2000 generated by the exact method. The inset shows the rescaled data yielding a universal curve. The rescaled analytic solution is also plotted in the inset to demonstrate the agreement between the analytic and exact numerical results.

Image of FIG. 4.
FIG. 4.

t 0 vs |Δs| for all polymer lengths. The inset highlights the endpoint behavior for N = 500, 1000, 2000.

Image of FIG. 5.
FIG. 5.

Second derivative of t 0 with respect to Δs for N = 1000 at three γ values: 0.10 (inner curve), 0.50, and 0.69 (outer curve). The inset displays the first derivative for the same data.

Image of FIG. 6.
FIG. 6.

t 0 vs |Δs| for N = 500,1000,2000 at γ = 0.5. The inset shows the corresponding universal curves calculated for N = 100,1000,10 000.

Image of FIG. 7.
FIG. 7.

dt 0/ds at N = 1000 for both boundary conditions at the γ values: γ = 0.1, 0.5, 0.69. The three upper curves correspond to the reflective boundary condition while the three lower curves correspond to the selective boundary condition.

Tables

Generic image for table
Table I.

Critical value Δs* for different polymer models obtained from the data and from Eq. (17). The last column shows the prefactor for the scaling of τ with N 2.

Generic image for table
Table II.

Prefactor for the τ ~ N 2 scaling.

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/content/aip/journal/jcp/134/15/10.1063/1.3580769
2011-04-21
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: An incremental mean first passage analysis for a quasistatic model of polymer translocation through a nanopore
http://aip.metastore.ingenta.com/content/aip/journal/jcp/134/15/10.1063/1.3580769
10.1063/1.3580769
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