Hearing about this problem while I was taking a stats mech course (online from Leo Susskind) this reminded me more of energy / entropy relationship than a parad

Hearing about this problem while I was taking a stats mech course (online from Leo Susskind) this reminded me more of energy / entropy relationship than a paradox. For example if we have hot and cold reservoirs separated by a divider in a bath, when we remove the divider entropy of the system increases when it reaches equilibrium. After reaching equilibrium, moving the divider back will not cause the two reservoirs to return to the initial hot cold state. The system with 2 capacitors seems like a good analogy to a heat bath; when the switch is flipped the charge is divided equally between the capacitors when it reaches equilibrium. The entropy of the system has increased, and the potential to do work has decreased. The number of possible states the system can be identified in has decreased by half (it is not possible to know which side had the initial charge after the switch has been flipped). Flipping the switch back will not bring the charge back to only one side. While this line of thinking doesn't explain the physics of what is happening, there is clearly a (statistically) irreversible change going on which seems like the natural language is energy, entropy, and temperature.