Theory of critical phenomena in liquids

A theory of critical phenomena in liquids is constructed based on postulates of classical statistical mechanics (i.e., without invoking hypotheses underlying scaling theory). This theory allows for both long-and short-wave fluctuations, arising in the vicinity of a critical point. Equations for evaluating the parameters of the critical point (critical density, critical temperature, and critical pressure) from the given interaction potential are derived. An equation of state is obtained for the critical isotherm. From this equation it follows that in the vicinity of the critical point, the critical indices have classical values; scaling indices arise away from the critical point. © 2006 Springer Science+Business Media, Inc.