Matches in SemOpenAlex for { <https://semopenalex.org/work/W3039723701> ?p ?o ?g. }
- W3039723701 endingPage "1986" @default.
- W3039723701 startingPage "1935" @default.
- W3039723701 abstract "Starting from a particle model describing self-propelled particles interacting through nematic alignment, we derive a macroscopic model for the particle density and mean direction of motion. We first propose a mean-field kinetic model of the particle dynamics. After diffusive rescaling of the kinetic equation, we formally show that the distribution function converges to an equilibrium distribution in particle direction, whose local density and mean direction satisfies a cross-diffusion system. We show that the system is consistent with symmetries typical of a nematic material. The derivation is carried over by means of a Hilbert expansion. It requires the inversion of the linearized collision operator for which we show that the generalized collision invariants, a concept introduced to overcome the lack of momentum conservation of the system, plays a central role. This cross-diffusion system poses many new challenging questions." @default.
- W3039723701 created "2020-07-10" @default.
- W3039723701 creator A5037993865 @default.
- W3039723701 creator A5080780430 @default.
- W3039723701 date "2020-09-01" @default.
- W3039723701 modified "2023-10-15" @default.
- W3039723701 title "Nematic alignment of self-propelled particles: From particle to macroscopic dynamics" @default.
- W3039723701 cites W1669403692 @default.
- W3039723701 cites W1987365226 @default.
- W3039723701 cites W1992537163 @default.
- W3039723701 cites W2007601369 @default.
- W3039723701 cites W2015410655 @default.
- W3039723701 cites W2018580609 @default.
- W3039723701 cites W2026275744 @default.
- W3039723701 cites W2063134919 @default.
- W3039723701 cites W2066875242 @default.
- W3039723701 cites W2072348908 @default.
- W3039723701 cites W2072873065 @default.
- W3039723701 cites W2077002577 @default.
- W3039723701 cites W2080471151 @default.
- W3039723701 cites W2084992778 @default.
- W3039723701 cites W2086141571 @default.
- W3039723701 cites W2094971551 @default.
- W3039723701 cites W2102211331 @default.
- W3039723701 cites W2143969246 @default.
- W3039723701 cites W2146673305 @default.
- W3039723701 cites W2167052694 @default.
- W3039723701 cites W2168335667 @default.
- W3039723701 cites W2253784914 @default.
- W3039723701 cites W2256347232 @default.
- W3039723701 cites W2320126040 @default.
- W3039723701 cites W2537953840 @default.
- W3039723701 cites W2590967790 @default.
- W3039723701 cites W2594637640 @default.
- W3039723701 cites W2948110959 @default.
- W3039723701 cites W2962917543 @default.
- W3039723701 cites W2963338890 @default.
- W3039723701 cites W2964052864 @default.
- W3039723701 cites W3037683188 @default.
- W3039723701 cites W3098489823 @default.
- W3039723701 cites W3098983463 @default.
- W3039723701 cites W3099462258 @default.
- W3039723701 cites W3101851788 @default.
- W3039723701 cites W3102219506 @default.
- W3039723701 cites W3104224380 @default.
- W3039723701 cites W3104411103 @default.
- W3039723701 cites W4254976988 @default.
- W3039723701 doi "https://doi.org/10.1142/s021820252040014x" @default.
- W3039723701 hasPublicationYear "2020" @default.
- W3039723701 type Work @default.
- W3039723701 sameAs 3039723701 @default.
- W3039723701 citedByCount "10" @default.
- W3039723701 countsByYear W30397237012020 @default.
- W3039723701 countsByYear W30397237012021 @default.
- W3039723701 countsByYear W30397237012022 @default.
- W3039723701 countsByYear W30397237012023 @default.
- W3039723701 crossrefType "journal-article" @default.
- W3039723701 hasAuthorship W3039723701A5037993865 @default.
- W3039723701 hasAuthorship W3039723701A5080780430 @default.
- W3039723701 hasBestOaLocation W30397237011 @default.
- W3039723701 hasConcept C10138342 @default.
- W3039723701 hasConcept C104317684 @default.
- W3039723701 hasConcept C111368507 @default.
- W3039723701 hasConcept C111919701 @default.
- W3039723701 hasConcept C121332964 @default.
- W3039723701 hasConcept C121704057 @default.
- W3039723701 hasConcept C121864883 @default.
- W3039723701 hasConcept C127313418 @default.
- W3039723701 hasConcept C13274807 @default.
- W3039723701 hasConcept C135889238 @default.
- W3039723701 hasConcept C158448853 @default.
- W3039723701 hasConcept C162324750 @default.
- W3039723701 hasConcept C17020691 @default.
- W3039723701 hasConcept C179003449 @default.
- W3039723701 hasConcept C185592680 @default.
- W3039723701 hasConcept C186603090 @default.
- W3039723701 hasConcept C26873012 @default.
- W3039723701 hasConcept C2778517922 @default.
- W3039723701 hasConcept C3445786 @default.
- W3039723701 hasConcept C38652104 @default.
- W3039723701 hasConcept C41008148 @default.
- W3039723701 hasConcept C55493867 @default.
- W3039723701 hasConcept C60718061 @default.
- W3039723701 hasConcept C62520636 @default.
- W3039723701 hasConcept C74650414 @default.
- W3039723701 hasConcept C86339819 @default.
- W3039723701 hasConceptScore W3039723701C10138342 @default.
- W3039723701 hasConceptScore W3039723701C104317684 @default.
- W3039723701 hasConceptScore W3039723701C111368507 @default.
- W3039723701 hasConceptScore W3039723701C111919701 @default.
- W3039723701 hasConceptScore W3039723701C121332964 @default.
- W3039723701 hasConceptScore W3039723701C121704057 @default.
- W3039723701 hasConceptScore W3039723701C121864883 @default.
- W3039723701 hasConceptScore W3039723701C127313418 @default.
- W3039723701 hasConceptScore W3039723701C13274807 @default.
- W3039723701 hasConceptScore W3039723701C135889238 @default.
- W3039723701 hasConceptScore W3039723701C158448853 @default.
- W3039723701 hasConceptScore W3039723701C162324750 @default.