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The phrase "approaching an equilibrium" is correct and usable in written English.
It can be used in contexts related to science, economics, or any situation where systems or variables are stabilizing or balancing out over time.
Example: "As the market adjusts to the new regulations, we expect prices to be approaching an equilibrium within the next few months."
Alternatives: "tending towards balance" or "moving towards stability".
Exact(4)
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.
Thereafter, adsorption became very slow and stable, approaching an equilibrium stage and maximum adsorption, i.e., a plateau profile.
At this point, most retailers and brands have explored every opportunity for product manufacturing, and it's possible that the industry is approaching an equilibrium of costs where companies can no longer simply move manufacturing to another area to gain the cost reductions necessary to achieve their margin targets.
First, technology is approaching an equilibrium point.
Similar(56)
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 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 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.
For local asymptotic stability, solutions must approach an equilibrium point under initial conditions close to the equilibrium point.
A system of ordinary differential equations is called completely stable if each of its solution x approaches an equilibrium state.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com