Fig. 2.

Statistics of dwell events. A time trajectory (top trace) is split into individual dwell events. The ensemble average of all these events is proportional to the population of states remaining in the dwell. The population of absorbing boundary states, shown in y, is obtained by subtracting the population remaining in dwells from the total population. Because dwell-time distributions reported in experiments are histograms of events binned within certain time intervals, it is important to also consider calculated results in time intervals. The number of events that exit a dwell during the time interval (t, t + dt) is equal to the number of events that exited dwells before time t + dt excluding those events that exited dwells before time t, or y(t + dt) − y(t). These are the number of dwell events with their dwell time between the time interval t and t + dt. In the limit, the dwell-time distributions at time t are proportional to dy/dt.