In the large volume limit, switching between states of a multistable non-equilibrium system is governed by entropy produced along the switching path, not by steady-state entropy or entropy production.
Bohr ,\ @noop journal journal Nature \ volume 131 ,\ pages 421 ( year 1933 ) NoStop
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Thermodynamics of switching in multistable non-equilibrium systems
In the large volume limit, switching between states of a multistable non-equilibrium system is governed by entropy produced along the switching path, not by steady-state entropy or entropy production.