Driven transport of fluid vesicles through narrow pores
G. Gompper* and D. M. Kroll+
*Max-Planck Insitut für Kolloid und Grenzflächenforschung,
Kantstr. 55, 14513 Teltow, Germany; and
+Department of Medicinal Chemistry and Minnesota Supercomputer Institute,
University of Minnesota, 308 Harvard Str. Southeast, Minneapolis, MN 55455
Physical Review E, 52: 4198-4208 (1995).
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 vesicles increases
sharply when the strength f of the driving field exceeds a threshold value
f*. For f > f*, the mobility saturates at a value that is essentially
independent of the strength of the driving field. The threshold field
strength f* is found to scale with the membrane bending rigidity kappa,
the vesicle area Ao, and the pores size rp, as f*/kT » (kappa/kT)^(1+β)
Ao^(-3/2+eta) rp^(-2eta). An analysis of the zero-temperature limit yields
the exponents β=0 and eta=1.55, while the Monte Carlo simulations of low-bending
rigidity vesicles are well described by the (effective) exponents β »
0.2 and eta » 2.4.
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