The Diosi-Penrose collapse model is thermodynamically consistent only in an infinite-temperature limit, whereas its linear-friction extension reaches thermal equilibrium at low dissipation strength.
Di´osi, Models for universal reduction of macroscopic quantum fluctuations, Physical Review A 40, 1165 (1989)
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Non-equilibrium thermodynamics of gravitational objective-collapse models
The Diosi-Penrose collapse model is thermodynamically consistent only in an infinite-temperature limit, whereas its linear-friction extension reaches thermal equilibrium at low dissipation strength.