overcarbonation

Hello guys! I have been homebrewing for about 2 years, recently I bought a fridge to control my fermenentation better (picture attached). Doing that increased my beer flavor a lot however, I am now reaching an stability problem, whenever my beer is primed it last at room temperature for about...

I'm wondering if beer carbonates faster at higher pressures, or if the CO2 dissolves at a constant rate no matter what the head pressure? Does anyone know the science behind this? I work at a homebrew shop and we have been having a debate on this. Some of the folks here have been turning...