Evolution of Compact-Binary Populations in Globular Clusters: A Boltzmann Study. I. The Continuous Limit - AstrophysicsReport as inadecuate




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Abstract: We explore a Boltzmann scheme for studying the evolution of compact binarypopulations of globular clusters. We include processes of compact-binaryformation by tidal capture and exchange encounters, binary destruction bydissociation and other mechanisms, and binary hardening by encounters,gravitational radiation and magnetic braking, as also the orbital evolutionduring mass transfer, following Roche lobe contact. For the encounter processeswhich are stochastic in nature, we study the probabilistic, continuous limit inthis introductory work, deferring the specific handling of the stochastic termsto the next step. We focus on the evolution of a the number of X-ray sourcesN {XB} in globular clusters, and b the orbital-period distribution of theX-ray binaries, as a result of the above processes. We investigate thedependence of N {XB} on two essential cluster properties, namely, the star-starand star-binary encounter-rate parameters -Gamma- and -gamma-, which we callVerbunt parameters. We compare our model results with observation, showing thatthe model values of N {XB} and their expected scaling with the Verbuntparameters are in good agreement with results from recent X-ray observations ofGalactic globular clusters, encouraging us to build more detailed models.



Author: Sambaran Banerjee, Pranab Ghosh

Source: https://arxiv.org/







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