Kinetics of gelation and universality
dc.contributor.author | Ziff, Robert M. | en_US |
dc.contributor.author | Ernst, M. H. | en_US |
dc.contributor.author | Hendriks, E. M. | en_US |
dc.date.accessioned | 2006-12-19T18:49:34Z | |
dc.date.available | 2006-12-19T18:49:34Z | |
dc.date.issued | 1983-07-11 | en_US |
dc.identifier.citation | Ziff, R M; Ernst, M H; Hendriks, E M (1983). "Kinetics of gelation and universality." Journal of Physics A: Mathematical and General. 16(10): 2293-2320. <http://hdl.handle.net/2027.42/48800> | en_US |
dc.identifier.issn | 0305-4470 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/48800 | |
dc.description.abstract | The exact solution (size distribution ck(t) and moments Mn(t)) of Smoluchowski's coagulation equation (S-model) and of a modified equation (F-model) with a coagulation rate Kij=ij for i- and j-clusters is obtained for arbitrary ck(0) in the sol (t<tc) and gel (t>tc) phases, where tc is the gel point. The behaviour of ck(t) and Mn(t) is given for k to infinity , t to infinity and t to tc. The critical exponents, critical amplitudes and scaling function that characterise the singularities near the non-equilibrium phase transition are calculated. For short-range ck(0) (i.e. all Mn< infinity ) the F-model belongs to the universality class of classical gelation theories and of bond percolation on Cayley trees; the S-model does not. | en_US |
dc.format.extent | 3118 bytes | |
dc.format.extent | 1562894 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | |
dc.publisher | IOP Publishing Ltd | en_US |
dc.title | Kinetics of gelation and universality | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationother | Dept. of Chem. Engng., Univ. of Michigan, Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationother | Dept. of Chem. Engng., Univ. of Michigan, Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationother | Dept. of Chem. Engng., Univ. of Michigan, Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/48800/2/jav16i10p2293.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1088/0305-4470/16/10/026 | en_US |
dc.identifier.source | Journal of Physics A: Mathematical and General. | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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