Gravitational wave background from neutron star phase transition

We study the generation of a stochastic gravitational wave (GW) background produced by a population of neutron stars (NSs) which go over a hadron-quark phase transition in its inner shells. We obtain, for example, that the NS phase transition, in cold dark matter scenarios, could generate a stochastic GW background with a maximum amplitude of $h_{\mathrm{B}\mathrm{G}}\sim {10}^{-24}$, in the frequency band ${\nu }_{\mathrm{o}\mathrm{b}\mathrm{s}}\simeq 20-2000\mathrm{H}\mathrm{z}$ for stars forming at redshifts of up to $z\simeq 20.$ We study the possibility of detection of this isotropic GW background by correlating signals of a pair of Advanced LIGO observatories.