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The phrase "a spontaneous process" is correct and usable in written English.
It can be used to describe a process that occurs naturally or without external influence, often in scientific or philosophical contexts.
Example: "The formation of crystals in a supersaturated solution is a spontaneous process that occurs when conditions are right."
Alternatives: "an automatic process" or "a natural process".
Exact(58)
Professor Katherine Morris from the University of Manchester explains: "Each decay of a radioactive atom is a spontaneous process.
Hence, a spontaneous process of hydrogen evolution and of dissolution of the metal will take place.
As a matter of fact, achieving the goals of sustainable development is not a spontaneous process.
Myelin regeneration is a spontaneous process: new oligodendrocytes and Schwann cells regenerate lost myelin in the absence of therapeutic intervention20,21,22,23,24,25,26,27.
Self-assembly of such nanostructures is a spontaneous process by which molecules/nanophase entities will materialize into organized aggregates.
This learning is fed by quasi-official concordances, encyclopedias and other reference works, but these exist mainly to exploit a spontaneous process that takes place in classrooms and chat rooms around the world.
The adsorption of copper phthalocyanine molecule on the graphene layer was found to be a spontaneous process with the shortest distance between the two layers.
Because recrystallization is a spontaneous process that generates no detectable latent heat release22,23, the thermal stabilities of model cryoprotectant solutions could be assessed by measuring their devitrification temperatures (Td) (Table 1; Fig. 1).
Biological N2 fixation (BNF) by associative diazotrophic bacteria is a spontaneous process where soil N is limited and adequate C sources are available.
Similar(2)
Supramolecular self-assembly, a ubiquitously spontaneous process in nature, plays an important role in building highly ordered and functional structures in biology.
Finally, negative values of ∆G° suggest that the adsorption mechanism of LC3 toward Cu II) is a generally spontaneous process and thermodynamically favorable.
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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