  We study the rapidity and azimuthal angle dependences of the global spin
alignment $\rho_{00}$ for $\phi$ mesons with respect to the reaction plane in
Au+Au collisions at RHIC by the relativistic coalescence model in the spin
transport theory. The global spin alignment of $\phi$ mesons arises from local
fluctuations of strong force fields whose values are extracted from the STAR's
data. The calculated results show that $\rho_{00}<1/3$ at the rapidity $Y=0$,
and then it increases with rapidity and becomes $\rho_{00}>1/3$ at $Y=1$. Such
a rapidity dependence is dominated by the relative motion of the $\phi$ meson
in the bulk matter. We also give prediction for the azimuthal angle dependence
of $\rho_{00}$ at different rapidities.

Nuclear Theory;High Energy Physics - Phenomenology