![Predicted number of breaks for a disc with a given initial geometry, shown as a function of the surface density and temperature power-law exponents p and s. The radial extent of the disc is given as $r_{\rm disc} = \left[ r_{\rm {in}} , r_{\rm {out}} \right]$ and the initial scale height is given at a distance of $r = 5a_{\rm b}$. The central binary is an equal-mass binary with eccentricity $e_{\rm b} = 0.5$. Left: Initial inner radius and scale height. Middle: Effect of a larger inner disc radius. Right: Effect of a larger disc aspect ratio. The ‘$\times$’ in each panel marks the disc parameters used in our multiple break simulation (Section 3.3). Disc inclination is not considered as a factor in these plots, but the effect is expected to be small as long as the disc is far from the critical inclination (see Section 5.1 for details).](https://oup.silverchair-cdn.com/oup/backfile/Content_public/Journal/mnras/533/1/10.1093_mnras_stae1787/1/stae1787fig3.jpeg?Expires=1749337651&Signature=GsaK5uYz8fTvKB1wkAnj0l71-nr~7Tr9UiVHqsdpVYm8hRsrf3fRXB9NHJ92mm~Os~XgQXylskoOT0sJi8f3Hh9~1tRThLgyaJxPpyA8GjYlRaMk8AqU2Z65WhDZBLEOSSmDHUSPQNfY~W38ajo-mdcJMtOoAXDE29m0F4PQjuDvr6V8pyVoz3w-VbwUNvXYELIFXu4sml2XgSk6fGWwLdYoNrwLLCrz2Lc6jGfHlf1uvqIENybqr07Xld277UO~AU1ZzhPzGhYlBz41NL4IytZnzzxkAfeVkxvqTy4UhBZapan5SoO~PLOXkK6lzETosyOitnRALkN9VehJcFx4DA__&Key-Pair-Id=APKAIE5G5CRDK6RD3PGA)
Predicted number of breaks for a disc with a given initial geometry, shown as a function of the surface density and temperature power-law exponents p and s. The radial extent of the disc is given as |$r_{\rm disc} = \left[ r_{\rm {in}} , r_{\rm {out}} \right]$| and the initial scale height is given at a distance of |$r = 5a_{\rm b}$|. The central binary is an equal-mass binary with eccentricity |$e_{\rm b} = 0.5$|. Left: Initial inner radius and scale height. Middle: Effect of a larger inner disc radius. Right: Effect of a larger disc aspect ratio. The ‘|$\times$|’ in each panel marks the disc parameters used in our multiple break simulation (Section 3.3). Disc inclination is not considered as a factor in these plots, but the effect is expected to be small as long as the disc is far from the critical inclination (see Section 5.1 for details).
