Matches in SemOpenAlex for { <https://semopenalex.org/work/W2092183588> ?p ?o ?g. }
- W2092183588 endingPage "412" @default.
- W2092183588 startingPage "392" @default.
- W2092183588 abstract "Abstract We show that the critical mass M c = 8 π of bacterial populations in two dimensions in the chemotactic problem is the counterpart of the critical temperature T c = GMm / 4 k B of self-gravitating Brownian particles in two-dimensional gravity. We obtain these critical values by using the Virial theorem or by considering stationary solutions of the Keller–Segel model and Smoluchowski–Poisson system. We also consider the case of one-dimensional systems and develop the connection with the Burgers equation. Finally, we discuss the evolution of the system as a function of M or T in bounded and unbounded domains in dimensions d = 1 , 2 and 3 and show the specificities of each dimension. This paper aims to point out the numerous analogies between bacterial populations, self-gravitating Brownian particles and, occasionally, two-dimensional vortices." @default.
- W2092183588 created "2016-06-24" @default.
- W2092183588 creator A5007478460 @default.
- W2092183588 date "2007-10-01" @default.
- W2092183588 modified "2023-09-30" @default.
- W2092183588 title "Critical mass of bacterial populations and critical temperature of self-gravitating Brownian particles in two dimensions" @default.
- W2092183588 cites W1484384514 @default.
- W2092183588 cites W1555798803 @default.
- W2092183588 cites W1568783337 @default.
- W2092183588 cites W1651289634 @default.
- W2092183588 cites W1969361395 @default.
- W2092183588 cites W1972292127 @default.
- W2092183588 cites W1974318214 @default.
- W2092183588 cites W1975259897 @default.
- W2092183588 cites W1982200732 @default.
- W2092183588 cites W1990598341 @default.
- W2092183588 cites W2000370113 @default.
- W2092183588 cites W2001018500 @default.
- W2092183588 cites W2001872119 @default.
- W2092183588 cites W2007079609 @default.
- W2092183588 cites W2019798453 @default.
- W2092183588 cites W2023604652 @default.
- W2092183588 cites W2027333588 @default.
- W2092183588 cites W2030302866 @default.
- W2092183588 cites W2042892258 @default.
- W2092183588 cites W2043014225 @default.
- W2092183588 cites W2045384647 @default.
- W2092183588 cites W2047345239 @default.
- W2092183588 cites W2048961421 @default.
- W2092183588 cites W2052821397 @default.
- W2092183588 cites W2073341021 @default.
- W2092183588 cites W2081052653 @default.
- W2092183588 cites W2081287082 @default.
- W2092183588 cites W2083449482 @default.
- W2092183588 cites W2089207926 @default.
- W2092183588 cites W2150446631 @default.
- W2092183588 cites W2155880886 @default.
- W2092183588 cites W2339349 @default.
- W2092183588 cites W2565432921 @default.
- W2092183588 cites W2962704834 @default.
- W2092183588 cites W2963871289 @default.
- W2092183588 cites W3023305859 @default.
- W2092183588 cites W3037169423 @default.
- W2092183588 cites W4236308215 @default.
- W2092183588 cites W4246744041 @default.
- W2092183588 cites W4302582676 @default.
- W2092183588 cites W84082587 @default.
- W2092183588 doi "https://doi.org/10.1016/j.physa.2007.03.056" @default.
- W2092183588 hasPublicationYear "2007" @default.
- W2092183588 type Work @default.
- W2092183588 sameAs 2092183588 @default.
- W2092183588 citedByCount "20" @default.
- W2092183588 countsByYear W20921835882012 @default.
- W2092183588 countsByYear W20921835882013 @default.
- W2092183588 countsByYear W20921835882014 @default.
- W2092183588 countsByYear W20921835882018 @default.
- W2092183588 countsByYear W20921835882019 @default.
- W2092183588 countsByYear W20921835882020 @default.
- W2092183588 countsByYear W20921835882021 @default.
- W2092183588 countsByYear W20921835882022 @default.
- W2092183588 crossrefType "journal-article" @default.
- W2092183588 hasAuthorship W2092183588A5007478460 @default.
- W2092183588 hasBestOaLocation W20921835884 @default.
- W2092183588 hasConcept C112401455 @default.
- W2092183588 hasConcept C121332964 @default.
- W2092183588 hasConcept C121864883 @default.
- W2092183588 hasConcept C140878338 @default.
- W2092183588 hasConcept C162324750 @default.
- W2092183588 hasConcept C175444787 @default.
- W2092183588 hasConcept C62520636 @default.
- W2092183588 hasConcept C74650414 @default.
- W2092183588 hasConceptScore W2092183588C112401455 @default.
- W2092183588 hasConceptScore W2092183588C121332964 @default.
- W2092183588 hasConceptScore W2092183588C121864883 @default.
- W2092183588 hasConceptScore W2092183588C140878338 @default.
- W2092183588 hasConceptScore W2092183588C162324750 @default.
- W2092183588 hasConceptScore W2092183588C175444787 @default.
- W2092183588 hasConceptScore W2092183588C62520636 @default.
- W2092183588 hasConceptScore W2092183588C74650414 @default.
- W2092183588 hasIssue "2" @default.
- W2092183588 hasLocation W20921835881 @default.
- W2092183588 hasLocation W20921835882 @default.
- W2092183588 hasLocation W20921835883 @default.
- W2092183588 hasLocation W20921835884 @default.
- W2092183588 hasOpenAccess W2092183588 @default.
- W2092183588 hasPrimaryLocation W20921835881 @default.
- W2092183588 hasRelatedWork W1979846157 @default.
- W2092183588 hasRelatedWork W1999624973 @default.
- W2092183588 hasRelatedWork W2008597485 @default.
- W2092183588 hasRelatedWork W2076755798 @default.
- W2092183588 hasRelatedWork W2081095848 @default.
- W2092183588 hasRelatedWork W2552695166 @default.
- W2092183588 hasRelatedWork W2738614875 @default.
- W2092183588 hasRelatedWork W2768553288 @default.
- W2092183588 hasRelatedWork W2979720508 @default.
- W2092183588 hasRelatedWork W3118977201 @default.
- W2092183588 hasVolume "384" @default.
- W2092183588 isParatext "false" @default.