Matches in SemOpenAlex for { <https://semopenalex.org/work/W2852098924> ?p ?o ?g. }
- W2852098924 abstract "We report surprising steady oscillations in aggregation-fragmentation processes. Oscillating solutions are observed for the class of aggregation kernels ${K}_{i,j}={i}^{ensuremath{nu}}{j}^{ensuremath{mu}}+{j}^{ensuremath{nu}}{i}^{ensuremath{mu}}$ homogeneous in masses $i$ and $j$ of merging clusters and fragmentation kernels, ${F}_{ij}=ensuremath{lambda}{K}_{ij}$, with parameter $ensuremath{lambda}$ quantifying the intensity of the disruptive impacts. We assume a complete decomposition (shattering) of colliding partners into monomers. We show that an assumption of a steady-state distribution of cluster sizes, compatible with governing equations, yields a power law with an exponential cutoff. This prediction agrees with simulation results when $ensuremath{theta}ensuremath{equiv}ensuremath{nu}ensuremath{-}ensuremath{mu}<1$. For $ensuremath{theta}=ensuremath{nu}ensuremath{-}ensuremath{mu}>1$, however, the densities exhibit an oscillatory behavior. While these oscillations decay for not very small $ensuremath{lambda}$, they become steady if $ensuremath{theta}$ is close to 2 and $ensuremath{lambda}$ is very small. Simulation results lead to a conjecture that for $ensuremath{theta}<1$ the system has a stable fixed point, corresponding to the steady-state density distribution, while for any $ensuremath{theta}>1$ there exists a critical value ${ensuremath{lambda}}_{c}$, such that for $ensuremath{lambda}<{ensuremath{lambda}}_{c}$, the system has an attracting limit cycle. This is rather striking for a closed system of Smoluchowski-like equations, lacking any sinks and sources of mass." @default.
- W2852098924 created "2018-07-19" @default.
- W2852098924 creator A5023624132 @default.
- W2852098924 creator A5027743264 @default.
- W2852098924 creator A5032602392 @default.
- W2852098924 creator A5051021532 @default.
- W2852098924 creator A5061515654 @default.
- W2852098924 creator A5079945151 @default.
- W2852098924 date "2018-07-11" @default.
- W2852098924 modified "2023-10-18" @default.
- W2852098924 title "Steady oscillations in aggregation-fragmentation processes" @default.
- W2852098924 cites W1897682314 @default.
- W2852098924 cites W1976430561 @default.
- W2852098924 cites W1981598915 @default.
- W2852098924 cites W1994623456 @default.
- W2852098924 cites W2004529359 @default.
- W2852098924 cites W2022182049 @default.
- W2852098924 cites W2022283492 @default.
- W2852098924 cites W2025493427 @default.
- W2852098924 cites W2027922329 @default.
- W2852098924 cites W2046524372 @default.
- W2852098924 cites W2049176600 @default.
- W2852098924 cites W2055589665 @default.
- W2852098924 cites W2067169069 @default.
- W2852098924 cites W2069443481 @default.
- W2852098924 cites W2074321090 @default.
- W2852098924 cites W2076568955 @default.
- W2852098924 cites W2082467485 @default.
- W2852098924 cites W2088126424 @default.
- W2852098924 cites W2095382289 @default.
- W2852098924 cites W2139382535 @default.
- W2852098924 cites W2160031808 @default.
- W2852098924 cites W2160382880 @default.
- W2852098924 cites W2165132584 @default.
- W2852098924 cites W2239701890 @default.
- W2852098924 cites W2326413029 @default.
- W2852098924 cites W2409270172 @default.
- W2852098924 cites W2746943937 @default.
- W2852098924 cites W2761073649 @default.
- W2852098924 cites W2769188266 @default.
- W2852098924 cites W2801312420 @default.
- W2852098924 cites W2962845574 @default.
- W2852098924 cites W3098735626 @default.
- W2852098924 cites W3102314602 @default.
- W2852098924 cites W3104111919 @default.
- W2852098924 cites W41049822 @default.
- W2852098924 cites W4210901545 @default.
- W2852098924 doi "https://doi.org/10.1103/physreve.98.012109" @default.
- W2852098924 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/30110817" @default.
- W2852098924 hasPublicationYear "2018" @default.
- W2852098924 type Work @default.
- W2852098924 sameAs 2852098924 @default.
- W2852098924 citedByCount "16" @default.
- W2852098924 countsByYear W28520989242019 @default.
- W2852098924 countsByYear W28520989242020 @default.
- W2852098924 countsByYear W28520989242021 @default.
- W2852098924 countsByYear W28520989242022 @default.
- W2852098924 crossrefType "journal-article" @default.
- W2852098924 hasAuthorship W2852098924A5023624132 @default.
- W2852098924 hasAuthorship W2852098924A5027743264 @default.
- W2852098924 hasAuthorship W2852098924A5032602392 @default.
- W2852098924 hasAuthorship W2852098924A5051021532 @default.
- W2852098924 hasAuthorship W2852098924A5061515654 @default.
- W2852098924 hasAuthorship W2852098924A5079945151 @default.
- W2852098924 hasBestOaLocation W28520989242 @default.
- W2852098924 hasConcept C110121322 @default.
- W2852098924 hasConcept C114614502 @default.
- W2852098924 hasConcept C121332964 @default.
- W2852098924 hasConcept C134306372 @default.
- W2852098924 hasConcept C2778113609 @default.
- W2852098924 hasConcept C2780990831 @default.
- W2852098924 hasConcept C33923547 @default.
- W2852098924 hasConcept C37914503 @default.
- W2852098924 hasConcept C62520636 @default.
- W2852098924 hasConceptScore W2852098924C110121322 @default.
- W2852098924 hasConceptScore W2852098924C114614502 @default.
- W2852098924 hasConceptScore W2852098924C121332964 @default.
- W2852098924 hasConceptScore W2852098924C134306372 @default.
- W2852098924 hasConceptScore W2852098924C2778113609 @default.
- W2852098924 hasConceptScore W2852098924C2780990831 @default.
- W2852098924 hasConceptScore W2852098924C33923547 @default.
- W2852098924 hasConceptScore W2852098924C37914503 @default.
- W2852098924 hasConceptScore W2852098924C62520636 @default.
- W2852098924 hasFunder F4320324099 @default.
- W2852098924 hasIssue "1" @default.
- W2852098924 hasLocation W28520989241 @default.
- W2852098924 hasLocation W28520989242 @default.
- W2852098924 hasLocation W28520989243 @default.
- W2852098924 hasLocation W28520989244 @default.
- W2852098924 hasLocation W28520989245 @default.
- W2852098924 hasOpenAccess W2852098924 @default.
- W2852098924 hasPrimaryLocation W28520989241 @default.
- W2852098924 hasRelatedWork W1592017605 @default.
- W2852098924 hasRelatedWork W1972372348 @default.
- W2852098924 hasRelatedWork W2058591591 @default.
- W2852098924 hasRelatedWork W2149071482 @default.
- W2852098924 hasRelatedWork W2597526809 @default.
- W2852098924 hasRelatedWork W3099118046 @default.
- W2852098924 hasRelatedWork W4292516810 @default.
- W2852098924 hasRelatedWork W107107499 @default.