  It is generally agreed that the supercritical region of a liquid consists of
one single state (supercritical fluid). On the other hand, we show here that
liquids in this region exist in two qualitatively different states: "rigid" and
"non-rigid" liquid. Rigid to non-rigid transition corresponds to the condition
{\tau} ~ {\tau}0, where {\tau}is liquid relaxation time and {\tau}0 is the
minimal period of transverse quasi-harmonic waves. This condition defines a new
dynamic line on the phase diagram, and corresponds to the loss of shear
stiffness of a liquid at all available frequencies, and consequently to the
qualitative change of many important liquid properties. We analyze the dynamic
line theoretically as well as in real and model liquids, and show that the
transition corresponds to the disappearance of high-frequency sound,
qualitative changes of diffusion and viscous flow, increase of particle thermal
speed to half of the speed of sound and reduction of the constant volume
specific heat to 2kB per particle. In contrast to the Widom line that exists
near the critical point only, the new dynamic line is universal: it separates
two liquid states at arbitrarily high pressure and temperature, and exists in
systems where liquid - gas transition and the critical point are absent
overall.
