caa a22 4500 378903012 CHVBK 20180305123522.0 cr unu---uuuuu 161128e20041201xx s 000 0 eng 10.1515/epoly.2004.4.1.878 doi (NATIONALLICENCE)gruyter-10.1515/epoly.2004.4.1.878 Tobita Hidetaka Department of Materials Science and Engineering, University of Fukui, 3-9-1 Bunkyo, Fukui 910-8507, Japan Scale-free power-law distribution of branched polymers formed in a continuously stirred tank reactor: Simple relationship for the exponent [Elektronische Daten] [Hidetaka Tobita] The high-molecular-weight tail of the molecular weight distribution (MWD) of branched polymers formed via free-radical polymerization involving polymer transfer reactions conducted in a continuously stirred tank reactor (CSTR) follows a power-law distribution. The exponent, α, of the weight fraction distribution W(M) ~ M-α is determined by the Pb value, which represents the probability that the chain end is connected to a backbone chain, with the simple relationship, α = 1/Pb. Since α > 1, the number-average molecular weight will always reach a stationary-state value but the weight-average and higher-order averages of molecular weights may continue to increase without limit under ideal CSTR conditions. Because it takes an infinitely long time for the second or a higher moment of the MWD to go to infinity, the kinetic behaviour is significantly different from usual gelation phenomena. The i-th moment of the MWD goes to infinity for Pb ≥ 1/i. © 2013 by Walter de Gruyter GmbH & Co. e-Polymers De Gruyter 4/1(2004-12-01), 878-887 2197-4586 4:1<878 2004 4 epoly https://doi.org/10.1515/epoly.2004.4.1.878 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/epoly.2004.4.1.878 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Tobita Hidetaka Department of Materials Science and Engineering, University of Fukui, 3-9-1 Bunkyo, Fukui 910-8507, Japan NATIONALLICENCE 773 0- e-Polymers De Gruyter 4/1(2004-12-01), 878-887 2197-4586 4:1<878 2004 4 epoly CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter