Crossover time in relative fluctuations characterizes the longest relaxation time of entangled polymers

In entangled polymer systems, there are several characteristic time scales, such as the entanglement time and the disengagement time. In molecular simulations, the longest relaxation time (the disengagement time) can be determined by the mean square displacement (MSD) of a segment or by the shear re...

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Veröffentlicht in:The Journal of chemical physics 2012-09, Vol.137 (11), p.114903-114903
Hauptverfasser: Uneyama, Takashi, Akimoto, Takuma, Miyaguchi, Tomoshige
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container_title The Journal of chemical physics
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creator Uneyama, Takashi
Akimoto, Takuma
Miyaguchi, Tomoshige
description In entangled polymer systems, there are several characteristic time scales, such as the entanglement time and the disengagement time. In molecular simulations, the longest relaxation time (the disengagement time) can be determined by the mean square displacement (MSD) of a segment or by the shear relaxation modulus. Here, we propose the relative fluctuation analysis method, which is originally developed for characterizing large fluctuations, to determine the longest relaxation time from the center of mass trajectories of polymer chains (the time-averaged MSDs). Applying the method to simulation data of entangled polymers (by the slip-spring model and the simple reptation model), we provide a clear evidence that the longest relaxation time is estimated as the crossover time in the relative fluctuations.
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subjects Chain entanglement
Crossovers
Disengaging
Fluctuation
Molecular Dynamics Simulation
Polymers
Polymers - chemistry
Relaxation time
Reptation
Segments
Time Factors
title Crossover time in relative fluctuations characterizes the longest relaxation time of entangled polymers
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