Matches in SemOpenAlex for { <https://semopenalex.org/work/W3104111919> ?p ?o ?g. }
- W3104111919 endingPage "212" @default.
- W3104111919 startingPage "95" @default.
- W3104111919 abstract "The scaling theory of irreversible aggregation is discussed in some detail. First, we review the general theory in the simplest case of binary reactions. We then extend consideration to ternary reactions, multispecies aggregation, inhomogeneous situations with arbitrary size dependent diffusion constants as well as arbitrary production terms. A precise formulation of the scaling hypothesis is given as well as a general theory of crossover phenomena. The consequences of this definition are described at length. The specific issues arising in the case in which an infinite cluster forms at finite times (the so-called gelling case) are discussed, in order to address discrepancies between theory and recent numerical work. Finally, a large number of exactly solved models are reviewed extensively with a view to pointing out precisely in which sense the scaling hypothesis holds in these various models. It is shown that the specific definition given here will give good results for almost all cases. On the other hand, we show that it is usually possible to find counterexamples to stronger formulations of the scaling hypothesis." @default.
- W3104111919 created "2020-11-23" @default.
- W3104111919 creator A5005632516 @default.
- W3104111919 date "2003-08-01" @default.
- W3104111919 modified "2023-10-17" @default.
- W3104111919 title "Scaling theory and exactly solved models in the kinetics of irreversible aggregation" @default.
- W3104111919 cites W1523339665 @default.
- W3104111919 cites W1539673960 @default.
- W3104111919 cites W1619833575 @default.
- W3104111919 cites W1965505486 @default.
- W3104111919 cites W1969766534 @default.
- W3104111919 cites W1972737329 @default.
- W3104111919 cites W1973608372 @default.
- W3104111919 cites W1974705957 @default.
- W3104111919 cites W1975297601 @default.
- W3104111919 cites W1980231741 @default.
- W3104111919 cites W1987209504 @default.
- W3104111919 cites W1987845202 @default.
- W3104111919 cites W1989882097 @default.
- W3104111919 cites W1989973843 @default.
- W3104111919 cites W1991124074 @default.
- W3104111919 cites W1992121874 @default.
- W3104111919 cites W1992304250 @default.
- W3104111919 cites W1993115191 @default.
- W3104111919 cites W1998327959 @default.
- W3104111919 cites W1998806882 @default.
- W3104111919 cites W1999059662 @default.
- W3104111919 cites W2000920495 @default.
- W3104111919 cites W2003029750 @default.
- W3104111919 cites W2005025303 @default.
- W3104111919 cites W2006485938 @default.
- W3104111919 cites W2009471973 @default.
- W3104111919 cites W2011638581 @default.
- W3104111919 cites W2014861615 @default.
- W3104111919 cites W2016795356 @default.
- W3104111919 cites W2017798864 @default.
- W3104111919 cites W2019488985 @default.
- W3104111919 cites W2019802636 @default.
- W3104111919 cites W2020878664 @default.
- W3104111919 cites W2021940689 @default.
- W3104111919 cites W2022033431 @default.
- W3104111919 cites W2023850406 @default.
- W3104111919 cites W2025723435 @default.
- W3104111919 cites W2026920945 @default.
- W3104111919 cites W2034265840 @default.
- W3104111919 cites W2035888187 @default.
- W3104111919 cites W2036813689 @default.
- W3104111919 cites W2037668608 @default.
- W3104111919 cites W2037845405 @default.
- W3104111919 cites W2040876620 @default.
- W3104111919 cites W2042054888 @default.
- W3104111919 cites W2043747948 @default.
- W3104111919 cites W2043924167 @default.
- W3104111919 cites W2044860408 @default.
- W3104111919 cites W2047041763 @default.
- W3104111919 cites W2048303000 @default.
- W3104111919 cites W2050055796 @default.
- W3104111919 cites W2052883156 @default.
- W3104111919 cites W2053960006 @default.
- W3104111919 cites W2054821753 @default.
- W3104111919 cites W2057073325 @default.
- W3104111919 cites W2057886597 @default.
- W3104111919 cites W2058356600 @default.
- W3104111919 cites W2062517214 @default.
- W3104111919 cites W2063299968 @default.
- W3104111919 cites W2064357302 @default.
- W3104111919 cites W2068365141 @default.
- W3104111919 cites W2072224864 @default.
- W3104111919 cites W2073641704 @default.
- W3104111919 cites W2075365586 @default.
- W3104111919 cites W2080454431 @default.
- W3104111919 cites W2080548239 @default.
- W3104111919 cites W2081010354 @default.
- W3104111919 cites W2081510629 @default.
- W3104111919 cites W2081704800 @default.
- W3104111919 cites W2082844859 @default.
- W3104111919 cites W2085202315 @default.
- W3104111919 cites W2086063305 @default.
- W3104111919 cites W2086374772 @default.
- W3104111919 cites W2089961766 @default.
- W3104111919 cites W2090178693 @default.
- W3104111919 cites W2092168540 @default.
- W3104111919 cites W2093271246 @default.
- W3104111919 cites W2094414152 @default.
- W3104111919 cites W2095114434 @default.
- W3104111919 cites W2100633843 @default.
- W3104111919 cites W2105064569 @default.
- W3104111919 cites W2116847984 @default.
- W3104111919 cites W2116978656 @default.
- W3104111919 cites W2118271577 @default.
- W3104111919 cites W2122076155 @default.
- W3104111919 cites W2139382535 @default.
- W3104111919 cites W2160382880 @default.
- W3104111919 cites W2165251878 @default.
- W3104111919 cites W2165802590 @default.
- W3104111919 cites W2166179721 @default.
- W3104111919 cites W2166751846 @default.
- W3104111919 cites W2313136022 @default.