Scale-free power-law distribution of nonlinear polymers formed in a homeostatic system
Gespeichert in:
Verfasser / Beitragende:
[Hidetaka Tobita]
Ort, Verlag, Jahr:
2004
Enthalten in:
e-Polymers, 4/1(2004-12-01), 335-347
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1515/epoly.2004.4.1.335 |2 doi |
| 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 | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t e-Polymers |d De Gruyter |g 4/1(2004-12-01), 335-347 |x 2197-4586 |q 4:1<335 |1 2004 |2 4 |o epoly | ||
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