>These analyses have provided some astonishing predictions. For example, we can now calculate the (non-zero) probability that a given nanoscale system will viol

>These analyses have provided some astonishing predictions. For example, we can now calculate the (non-zero) probability that a given nanoscale system will violate the second law, reducing its entropy, in a given time interval. (We now understand that the second law does not say that the entropy of a closed system cannot increase, only that its expected entropy cannot increase.) I think they meant to say decrease in the parentheses. But that's tantalizing. I'd like to hear more about that.