Abstract | ||
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We present a new approach to investigating the dynamics of loop formation in a very crude polymer model and estimate the mean first time for the two ends to meet. This time depends on the number of monomers N. We obtain analytical formulas when N = 3,4 in dimension two and an asymptotic formula when N is large. Our analysis is confirmed by stochastic simulations. |
Year | DOI | Venue |
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2012 | 10.1137/110842624 | MULTISCALE MODELING & SIMULATION |
Keywords | Field | DocType |
mean first passage time,polymer,asymptotic computation,freely jointed chain,looping | Polymer,Asymptotic formula,Mathematical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
10 | 2 | 1540-3459 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Assaf Amitai | 1 | 1 | 0.75 |
Ivan Kupka | 2 | 0 | 0.34 |
David Holcman | 3 | 76 | 14.22 |