Evolution of X-ray Binary Populations of Globular Clusters: A Boltzmann study

Astronomy and Astrophysics – Astronomy

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We present a Boltzmann scheme for studying evolution of compact-binary populations of globular clusters, including dynamical formation and destruction processes, and binary hardening processes. For those processes which are stochastic (e.g., tidal formation, collisional destruction, and collisional hardening), we study the continuous limit first. We then introduce our stochastic model, showing that the continuous limit is an excellent representation of the average of many "realizations" of stochastic processes. We explore the scaling of the number of X-ray binaries in a globular cluster with two essential cluster parameters measuring star-star and star-binary encounter rates, which we call Verbunt parameters. We show that our computed scalings are in good agreement with CHANDRA data on Galactic globular cluster X-ray binaries. We discuss ways of extending our scheme, and of handling evolution of the cluster background.

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