TY - JOUR
T1 - Diffusion-controlled first contact of the ends of a polymer
T2 - Crossover between two scaling regimes
AU - Chen, Jeff Z.Y.
AU - Tsao, Heng Kwong
AU - Sheng, Yu Jane
PY - 2005/9
Y1 - 2005/9
N2 - We report on Monte Carlo simulations of loop formation of an ideal flexible polymer consisting of N bonds with two reactive ends. We determine the first-passage time associated with chain looping that yields a conformation in which the end monomers are separated by a distance a-the reaction radius. In particular, our numerical results demonstrate how this time scale crosses over from τfirst∼N3/2/a to the a-independent τfirst∼N2 as N is increased. The existence and characteristics, of the two scaling regimes and the crossover between the two, are further illuminated by a scaling argument.
AB - We report on Monte Carlo simulations of loop formation of an ideal flexible polymer consisting of N bonds with two reactive ends. We determine the first-passage time associated with chain looping that yields a conformation in which the end monomers are separated by a distance a-the reaction radius. In particular, our numerical results demonstrate how this time scale crosses over from τfirst∼N3/2/a to the a-independent τfirst∼N2 as N is increased. The existence and characteristics, of the two scaling regimes and the crossover between the two, are further illuminated by a scaling argument.
UR - http://www.scopus.com/inward/record.url?scp=28844475173&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.72.031804
DO - 10.1103/PhysRevE.72.031804
M3 - 期刊論文
AN - SCOPUS:28844475173
SN - 1539-3755
VL - 72
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
M1 - 031804
ER -