Scale-free power-law distribution of nonlinear polymers formed in a homeostatic system

Verfasser / Beitragende:
[Hidetaka Tobita]
Ort, Verlag, Jahr:
2004
Enthalten in:
e-Polymers, 4/1(2004-12-01), 335-347
Format:
Artikel (online)
ID: 378903713
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035 |a (NATIONALLICENCE)gruyter-10.1515/epoly.2004.4.1.335 
100 1 |a Tobita  |D Hidetaka  |u Department of Materials Science and Engineering, University of Fukui, 3-9-1 Bunkyo, Fukui 910-8507, Japan 
245 1 0 |a Scale-free power-law distribution of nonlinear polymers formed in a homeostatic system  |h [Elektronische Daten]  |c [Hidetaka Tobita] 
520 3 |a A power-law distribution of molecular weight is found for low-density polyethylene formed in a one-zone autoclave reactor. This reactor could be modelled as a continuously stirred tank reactor (CSTR) operated under homeostatic conditions where the concentration of each component as well as temperature and pressure are kept constant. A simple stochastic model is used to investigate the molecular weight distribution (MWD) formed in free-radical polymerization involving chain transfer to polymer. The MWD profiles are dominated by the Pb value, which represents the probability that the chain end is connected to a backbone chain. By increasing Pb, MWD changes from an exponential to a powerlaw distribution. A scale-free power-law distribution is found for Pb > 0.5. Because the power of the weight fraction distribution, W(M) ~ M -γ, is 1 < γ < 2, the number average molecular weight will reach a stationary-state value but the weightaverage may continue to increase unlimitedly under ideal CSTR conditions. 
540 |a © 2013 by Walter de Gruyter GmbH & Co. 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Tobita  |D Hidetaka  |u Department of Materials Science and Engineering, University of Fukui, 3-9-1 Bunkyo, Fukui 910-8507, Japan 
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