Cyclization of a polymer: first-passage problem for a non-Markovian process |
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Authors: | Sokolov I M |
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Institution: | Institut für Physik, Humboldt-Universit?t zu Berlin, Invalidenstrasse 110, D-10115 Berlin, Germany. |
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Abstract: | We discuss a closure of a polymer chain released from a state with given end-to-end distance. Considering the situation as a first passage problem for a non-Markovian process, we express the survival probability through the three-time distribution of the end-to-end distance and evaluate it numerically by solving a Volterra equation. We also show how the Wilemski-Fixmann approximation emerges within this scheme and discuss its geometrical nature. |
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