  We have found that a variety of phase transitions occurring between three
traffic phases (free flow (F), synchronized flow (S), and wide moving jam (J))
determine the spatiotemporal dynamics of traffic consisting of 100%
automated-driving vehicles moving on a two-lane road with an on-ramp
bottleneck. This means that three-phase traffic theory is a common framework
for the description of traffic states independent of whether human-driving or
automated-driving vehicles move in vehicular traffic. To prove this, we have
studied automated-driving vehicular traffic with the use of classical Helly's
model (1959) widely applied for automated vehicle motion. Although dynamic
rules of the motion of automated-driving vehicles in a road lane are
qualitatively different from those of human-driving vehicles, we have revealed
that a free-flow-to-synchronized-flow transition (F$\rightarrow$S transition)
exhibits the nucleation nature, which was observed in empirical field data
measured in traffic consisting of 100% human-driving vehicles. The physics of
the nucleation nature of the F$\rightarrow$S transition in automated-driving
traffic is associated with a discontinuity in the rate of lane-changing that
causes the discontinuity in the rate of over-acceleration. This discontinuous
character of over-acceleration leads to both the existence and self-maintaining
of synchronized flow at the bottleneck in automated-driving vehicular traffic
as well as to the existence at any time instant of a range of highway
capacities between some minimum and maximum capacities. Within the capacity
range, an F$\rightarrow$S transition can be induced; however, when the maximum
capacity is exceeded, then after some time-delay a spontaneous F$\rightarrow$S
transition occurs at the bottleneck. The phases F, S, and J can coexist each
other in space and time.

Physics and Society;Cellular Automata and Lattice Gases