TY - JOUR

T1 - Probability distributions for polymer translocation

AU - Chatelain, Clément

AU - Kantor, Yacov

AU - Kardar, Mehran

PY - 2008/8/21

Y1 - 2008/8/21

N2 - We study the passage (translocation) of a self-avoiding polymer through a membrane pore in two dimensions. In particular, we numerically measure the probability distribution Q (T) of the translocation time T, and the distribution P (s,t) of the translocation coordinate s at various times t. When scaled with the mean translocation time T, Q (T) becomes independent of polymer length, and decays exponentially for large T. The probability P (s,t) is well described by a Gaussian at short times, with a variance of s that grows subdiffusively as tα with α 0.8. For times exceeding T, P (s,t) of the polymers that have not yet finished their translocation has a nontrivial stable shape.

AB - We study the passage (translocation) of a self-avoiding polymer through a membrane pore in two dimensions. In particular, we numerically measure the probability distribution Q (T) of the translocation time T, and the distribution P (s,t) of the translocation coordinate s at various times t. When scaled with the mean translocation time T, Q (T) becomes independent of polymer length, and decays exponentially for large T. The probability P (s,t) is well described by a Gaussian at short times, with a variance of s that grows subdiffusively as tα with α 0.8. For times exceeding T, P (s,t) of the polymers that have not yet finished their translocation has a nontrivial stable shape.

UR - http://www.scopus.com/inward/record.url?scp=50249187742&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.78.021129

DO - 10.1103/PhysRevE.78.021129

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AN - SCOPUS:50249187742

VL - 78

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 2

M1 - 021129

ER -