The phrase "approached an equilibrium" is correct and usable in written English.
It can be used in contexts discussing balance, stability, or a state of rest in various fields such as science, economics, or social dynamics.
Example: "After several hours of negotiation, both parties finally approached an equilibrium that satisfied their needs."
Alternatives: "reached a balance" or "attained stability."
For local asymptotic stability, solutions must approach an equilibrium point under initial conditions close to the equilibrium point.
Thereafter, adsorption became very slow and stable, approaching an equilibrium stage and maximum adsorption, i.e., a plateau profile.
A system of ordinary differential equations is called completely stable if each of its solution x approaches an equilibrium state.
Similar considerations apply for the case of finite kinetics, when the macroscale concentration approaches an equilibrium value.
The model is based upon the general observation that the shoreline tends to approach an equilibrium position exponentially with time when subjected to constant forcing.
The Mach reflection undergoes a frozen condition in the near field, and then goes through a transition process before asymptotically approaching an equilibrium state in the far field.
The results show that TBPS molecules can adsorb on the Au surface at 0.05 V (RHE) and approach an equilibrium state after ca. 200 sec.
It is difficult to imagine a system in which a species shows specific interaction on a short time scale, but reverts to non-specific interaction as it approaches an equilibrium partitioning.
It is found that the concentration ratio of binary components can approach an equilibrium status, with necessary time to obtain the status dependent on transfer and degradation rates of each component.
The resulting scour seems to approach an equilibrium value after sufficient time duration, which corresponds reasonably to that predicted by existing steady-current scour depth expressions, after accounting for the finite boundary layer thickness induced by the unsteady tsunami wave, i.e. it is important to incorporate both current-like, as well as wave-like aspects of the long tsunami event.
