A transition between the state of minimal free energy needs some form of activation energy to penetrate the barrier (compare activation energy and Arrhenius equation for the chemical case.) After the barrier has been reached, the system will relax into the next state of lowest energy again. The time it takes is usually attributed the relaxation time. (There might be uncertainty as to which state will be the new one, but it is often well defined in the situation.)
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"Bistability".
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