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- W2600556490 abstract "We study cyclization of polymer chains in which the reactive ends of the chains are initially in close proximity (ring initial conditions). We find a surprising general relation between cyclization with ring and equilibrium initial conditions, namely that Φring(t) dΦ/dteq, where Φ(t) is the survival fraction. We show that this proportionality is exact for a special type of non-generic ring initial conditions and use an approximate argument to motivate the proportionality for more general ring initial condition. Our analytic results are confirmed by Langevin simulations of Gaussian chains. Earlier work for very long Rouse chains with equilibrium initial conditions shows that dΦ/dteq ~ t−1/4 for times less than the longest polymer relaxation time. Therefore our relation shows that dΦ/dtring ~ t−5/4 for a ring initial distribution under the same conditions." @default.
- W2600556490 created "2017-04-07" @default.
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- W2600556490 date "2006-03-17" @default.
- W2600556490 modified "2023-09-26" @default.
- W2600556490 title "Relation between cyclization of polymers with different initial conditions" @default.
- W2600556490 hasPublicationYear "2006" @default.
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