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Driven transport of fluid vesicles through narrow pores

1995; American Physical Society; Volume: 52; Issue: 4 Linguagem: Inglês

10.1103/physreve.52.4198

1538-4519

Gerhard Gompper, D. M. Kroll,

Material Dynamics and Properties

The driven transport of fluid vesicles through narrow, cylindrical pores in a linear external potential is studied using Monte Carlo simulations, scaling arguments, and mean-field theory. The mobility of the vesicles increases sharply when the strength f of the driving field exceeds a threshold value ${\mathit{f}}^{\mathrm{*}}$. For f>${\mathit{f}}^{\mathrm{*}}$, the mobility saturates at a value that is essentially independent of the strength of the driving field. The threshold field strength ${\mathit{f}}^{\mathrm{*}}$ is found to scale with the membrane bending rigidity \ensuremath{\kappa}, the vesicle area ${\mathit{A}}_{0}$, and the pore size ${\mathit{r}}_{\mathit{p}}$ as ${\mathit{f}}^{\mathrm{*}}$/${\mathit{k}}_{\mathit{B}}$T\ensuremath{\sim} (\ensuremath{\kappa}/${\mathit{k}}_{\mathit{B}}$T${)}^{1+\mathrm{\ensuremath{\beta}}}$${\mathit{A}}_{0}^{\mathrm{\ensuremath{-}}3/2+\mathrm{\ensuremath{\eta}}}$${\mathit{r}}_{\mathit{p}}^{\mathrm{\ensuremath{-}}2\mathrm{\ensuremath{\eta}}}$. An analysis of the zero-temperature limit yields the exponents \ensuremath{\beta}=0 and \ensuremath{\eta}=1.55, while the Monte Carlo simulations of low-bending-rigidity vesicles are well described by the (effective) exponents \ensuremath{\beta}\ensuremath{\simeq}0.2 and \ensuremath{\eta}\ensuremath{\simeq}2.4.