  Upon quenching the forcing, a turbulent system tends to attain the state of
stable equilibrium through the process of turbulent relaxation. Such relaxation
in binary fluids is of surmount interest for both fundamental science
understanding and industrial applications. A systematic investigation of the
same has been carried out, for the first time, using direct numerical
simulations of Cahn-Hilliard-Navier-Stokes equations. With the help of a
thorough scanning, the bulk of each fluid and its interface are found to relax
in a different way. However, using the principle of vanishing nonlinear
transfer, we propose a convincing, universal pathway of obtaining the turbulent
relaxed states for both the bulk and the interface which attain a relaxed state
when the turbulent cascades of the inviscid invariants are suppressed.
Interestingly, the relaxation of the bulk turns up to be subtly different from
the turbulent relaxation of a single hydrodynamic fluid and the interface
relaxation is found to follow a Helmholtz-like pressure-balanced condition.
