Stretching a stiff polymer in a tube

Wang, Jizeng; Gao, Huajian

doi:10.1007/s10853-007-1846-9

Cited by 36 publications

(56 citation statements)

References 26 publications

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“…The Hamiltonian of the confined WLC under stretch can be expressed as the summation of potential energies due to bending, stretching and tube-confinement as [8,12,13,23] ( )…”

Section: Modelmentioning

confidence: 99%

“…where (14) is the confinement potential per unit length due to the tube-wall [23]. Harmonic potential is usually adopted to approximate such a hard-wall potential [23,27], i.e., Assuming small undulation, and noting inextensibility of the chain, we have u = 1 and u ⊥ << 1.…”

Section: Modelmentioning

confidence: 99%

“…Harmonic potential is usually adopted to approximate such a hard-wall potential [23,27], i.e., Assuming small undulation, and noting inextensibility of the chain, we have u = 1 and u ⊥ << 1. Further we can derive [23] ∂u ∂s…”

Section: Modelmentioning

confidence: 99%

“…4 of 10 is the confinement potential per unit length due to the tube-wall [23]. Harmonic potential is usually adopted to approximate such a hard-wall potential [23,27], i.e.,…”

Section: Modelmentioning

confidence: 99%

“…When the polymer chain simultaneously subjects to tube confinement and force stretch in the deflection regime, as shown by [23,24] and later by [25], the effect of confinement can be approximately equivalent to an additional effective stretching force f c [23] witĥ…”

Section: Introductionmentioning

confidence: 99%

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Stretching a Semiflexible Polymer in a Tube

Wang

2016

Polymers

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How the statistical behavior of semiflexible polymer chains may be affected by force stretching and tube confinement is a classical unsolved problem in polymer physics. Based on the Odijk deflection theory and normal mode decomposition in terms of Fourier expansion, we have derived a new compact formula for the extension of a wormlike chain of finite length strongly confined in a tube and simultaneously stretched by an external force. We have also suggested a new deflection length, which together with the force-extension relation is valid for a very extended range of the tube-diameter/persistence-length ratio comparing to the classic Odijk theory. The newly derived formula has no adjustable fitting parameters for the whole deflection regime; in contrast, the classic Odijk length needs different prefactors to fit the free energy and average extension, respectively. Brownian dynamics simulations based on the Generalized Bead-Rod (GBR) model were extensively performed, which justified the theoretical predictions.

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“…The Hamiltonian of the confined WLC under stretch can be expressed as the summation of potential energies due to bending, stretching and tube-confinement as [8,12,13,23] ( )…”

Section: Modelmentioning

confidence: 99%

Section: Modelmentioning

confidence: 99%

Section: Modelmentioning

confidence: 99%

“…4 of 10 is the confinement potential per unit length due to the tube-wall [23]. Harmonic potential is usually adopted to approximate such a hard-wall potential [23,27], i.e.,…”

Section: Modelmentioning

confidence: 99%