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The phrase "steady state is reached" is grammatically correct and can be used in written English
It is often used to describe reaching a stable or constant condition in a process or system. Example: After hours of testing and tweaking, the team finally reached a steady state for the new software program's performance.
Exact(55)
It will run the simulation until steady state is reached.
// Keeps the simulation running until steady state is reached.
// Steady state is reached when the same phase values occurred 'count' times.
Additionally, when denudational steady state is reached, muon contributions can be determined.
The size distributions evolve in a self-similar way till the steady state is reached.
When the uniform wear rate is generated at contact sliding surfaces, the steady state is reached.
In addition, compared with low emissivity, the error is larger for high junction emissivity when the steady state is reached.
Similar(4)
In this case, there are no transitional dynamics, the steady-state is reached immediately and has finite elasticities of capital with respect to the net-of-tax rate.
Temperature difference trends show that a steady-state is reached for all the cases examined.
First, a steady-state is reached by maintaining a constant current load for several minutes.
Conversion and selectivities were measured after 5 h of reaction at each pretreatment temperature, when nearly steady-state is reached.
More suggestions(1)
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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