Details
| Original language | Undefined/Unknown |
|---|---|
| Pages (from-to) | 2276-2278 |
| Number of pages | 3 |
| Journal | J. Math. Phys. |
| Volume | 32 |
| Issue number | 8 |
| Publication status | Published - 1991 |
Abstract
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In: J. Math. Phys., Vol. 32, No. 8, 1991, p. 2276-2278.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A counterexample in coagulation theory
AU - Buffet, E.
AU - Werner, R. F.
PY - 1991
Y1 - 1991
N2 - Two models of interacting polymers, both within Smoluchovski's theory, are considered. The first model has purely diagonal reaction rates and shows gelation. The second model has the same diagonal reaction rates but also some nondiagonal ones; the second model does not show gelation. Hence, contrary to intuition, gelation can be destroyed by an increase in the reaction rates. The example also disproves a conjecture stating that the diagonal reaction rates are the determining factor for gelation.
AB - Two models of interacting polymers, both within Smoluchovski's theory, are considered. The first model has purely diagonal reaction rates and shows gelation. The second model has the same diagonal reaction rates but also some nondiagonal ones; the second model does not show gelation. Hence, contrary to intuition, gelation can be destroyed by an increase in the reaction rates. The example also disproves a conjecture stating that the diagonal reaction rates are the determining factor for gelation.
U2 - 10.1063/1.529202
DO - 10.1063/1.529202
M3 - Article
VL - 32
SP - 2276
EP - 2278
JO - J. Math. Phys.
JF - J. Math. Phys.
SN - 1089-7658
IS - 8
ER -