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Escape of polymer chains from an attractive channel under electrical force
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10.1063/1.3553261
/content/aip/journal/jcp/134/6/10.1063/1.3553261
http://aip.metastore.ingenta.com/content/aip/journal/jcp/134/6/10.1063/1.3553261

Figures

Image of FIG. 1.
FIG. 1.

Four states of the translocation for polymer chain through a channel. Solid filled circles represent the leading and the end segment of the polymer chain, respectively.

Image of FIG. 2.
FIG. 2.

A schematic of the model geometry and the polymer model used in the simulation. L and h represent the length and height of the channel, respectively. An external electrical field with strength E is applied inside the channel.

Image of FIG. 3.
FIG. 3.

Free energy F as a function of the end segment position x inside the channel for both ε < ln μ and ε > ln μ, where the electrical field E = 0.1 and the chain length n = 100. For ε > ln μ, the free energy F reaches its minimum F min  at x = x m .

Image of FIG. 4.
FIG. 4.

The dependence of the escaping time τ 0 on the polymer-channel interaction ɛ with electrical field E = 0.08 and 0.12, chain length n = 100, 200, and 300, here channel length L = 80.

Image of FIG. 5.
FIG. 5.

The dependence of the escaping time τ 0 on the channel length L for (a) ɛ = 2.0 and (b) ɛ = 6.0, where electrical field E = 0.1 and chain length n = 100.

Image of FIG. 6.
FIG. 6.

The dependence of the mean square radius of gyration of the outside part on the number of segments m outside the channel. The top x axis represents end segment position inside the channel when there are m segments out of the channel eventually, i.e., x = −(nm)l 0. The dashed line represents the dependence of on length m for tethered chain in equilibrium state.

Image of FIG. 7.
FIG. 7.

(a) The dependence of the escaping time τ0 on the polymer–channel interaction ɛ with electrical field E = 0.08 and 0.12, chain length n = 100, 200, and 300, channel length L = 80. (b) The dependence of the escaping time τ0 on the channel length L for different ɛ and different E, where the chain length n = 100.

Image of FIG. 8.
FIG. 8.

The evolution of the position of the end segment inside the channel for (a) small ɛ and (b) large ɛ, where electrical field E = 0.1, chain length n = 100 and channel length L = 80.

Image of FIG. 9.
FIG. 9.

(a) The dependence of the ratio t r (x)/τ0 and (b) Δt(x)/τ0 on the end segment position x for large ɛ at three different Es, where the chain length n = 100 and the channel length L = 80.

Image of FIG. 10.
FIG. 10.

The dependence of the product of x C and x A with E (Ex C and Ex A ) on ɛ, where the chain length n = 100 and the channel length L = 80. The solid lines represent the linear fit, which can be written as Ex C = −0.8(ε − 1.5) and Ex A = −1.85(ε − 1.76), respectively.

Image of FIG. 11.
FIG. 11.

(a) The dependence of the trapped time τtrap on ɛ for four E's, where the chain length n = 100 and the channel length L = 80. (b) The dependence of E ln(τtrap) on exp(ɛ), where the data are the same as (a).

Tables

Generic image for table
Table I.

The values of x C , x A , and τtrap for polymer chains with length n = 100, 400, 800, and 1000 at ɛ = 3.0, 3.2, 3.4, and 3.6 under E = 0.1.

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/content/aip/journal/jcp/134/6/10.1063/1.3553261
2011-02-14
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Escape of polymer chains from an attractive channel under electrical force
http://aip.metastore.ingenta.com/content/aip/journal/jcp/134/6/10.1063/1.3553261
10.1063/1.3553261
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