{"title":"The Impact of Binaries on the Stellar Initial Mass Function","authors":"P. Kroupa, T. Jeřábková","doi":"10.1017/9781108553070.017","DOIUrl":"https://doi.org/10.1017/9781108553070.017","url":null,"abstract":"(abridged) The stellar initial mass function (IMF) can be conveniently represented as a canonical two-part power law function and is largely invariant for star formation regions evident in the Local Group of galaxies. The IMF is a hilfskonstrukt. It is a mathematical formulation of an idealised population of stars formed together in one star formation event. The nature of the IMF (is it a probability density or an optimal sampling distribution function?) is raised. Binary stars, if unresolved, have a very significant influence at low stellar masses. Especially important is to take care of the changing binary fraction as a result of stellar-dynamical evolution of the embedded clusters which spawn the field populations of galaxies, given that the binary fraction at birth is very high and independent of primary-star mass. The high multiplicity fraction amongst massive stars leads to a substantial fraction of these being ejected out of their birth clusters and to massive stars merging. This explains the top-lightness of the IMF in star clusters in M31. In close binaries also the masses of the components can be changed due to mass transfer. A large amount of evidence points to the IMF becoming top-heavy with decreasing metallicity and above a star-formation-rate density of about 0.1 Msun/(pc^3 yr) of the cluster-forming cloud core. This is also indicated through the observed supernova rates in star-bursting galaxies. At the same time, the IMF may be bottom light at low metallicity and bottom-heavy at high metallicity, possibly accounting for the results on elliptical galaxies and ultra-faint dwarf galaxies, respectively.","PeriodicalId":283497,"journal":{"name":"The Impact of Binary Stars on Stellar Evolution","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131001088","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Importance of Binarity in the Formation and Evolution of Planetary Nebulae","authors":"David Jones","doi":"10.1017/9781108553070.010","DOIUrl":"https://doi.org/10.1017/9781108553070.010","url":null,"abstract":"It is now clear that a binary evolutionary pathway is responsible for a significant fraction of all planetary nebulae, with some authors even going so far as to claim that binarity may be a near requirement for the formation of an observable nebula. In this chapter, we will discuss the theoretical and observational support for the importance of binarity in the formation of planetary nebulae, initially focussing on common envelope evolution but also covering wider binaries. Furthermore, we will highlight the impact that these results have on our understanding of other astrophysical phenomena, including supernovae type Ia, chemically peculiar stars and circumbinary exoplanets. Finally, we will present the latest results with regards to the relationship between post-common-envelope central stars and the abundance discrepancy problem in planetary nebulae, and what further clues this may hold in forwarding our understanding of the common envelope phase itself.","PeriodicalId":283497,"journal":{"name":"The Impact of Binary Stars on Stellar Evolution","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124393510","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}