## Phase transition liquid - vapor and infinite point of correlation functions

### G.A. Martynov (A.N. Frumkin Institute of Physical Chemistry and Electrochemistry)

### Abstract

The analysis of the asymptotic behavior of Ornstein - Zernike
equation shows that the phase transitions on binodal cannot exist in the
standard theory, which accounts for the analytical solutions only. To obtain
the transitions it is necessary to build the nonlinear theory. The elements
of nonlinearity can be introduced into the statistical mechanics by means of
the infinite point of the pair correlation function. It allows one to
describe the critical phenomena in complete agreement with the experimental
data and with the scaling theory, as well as to explain the nature of the
liquid - vapor phase transitions. In addition, the developed theory explains
a number of effects in a regular area of phase diagram. So the infinite
point influences on the state of liquids not only in the critical point
vicinity but also at entire phase diagram.