Nonclassical equations of state for critical and tricritical points
- 44 Downloads
We develop a method by which certain classical equations of state may be modified to produce nonclassical critical scaling behavior. We then apply this method to the classical free energy describing a tricritical point that was originally introduced by Griffiths. The phase behavior of the resulting nonclassical free energy is characterized by the competition between critical scaling and tricritical scaling already envisioned by previous authors.
Key wordsThermodynamics equation of state phase equilibria critical phenomena tricritical critical scaling exponent crossover
Unable to display preview. Download preview PDF.
- 1.J. R. Fox,J. Chem. Phys. 69:2231 (1978).Google Scholar
- 2.R. B. Griffiths and J. C. Wheeler,Phys. Rev. A 2:1047 (1970).Google Scholar
- 3.E. K. Riedel and F. J. Wegner,Phys. Rev. Lett. 29:349 (1972);Phys. Rev. B 7:248 (1973).Google Scholar
- 4.E. K. Riedel,Phys. Rev. Lett. 28:675 (1972).Google Scholar
- 5.R. B. Griffiths,Phys. Rev. Lett. 24:715 (1970);Phys. Rev. B 7:545 (1973); T. S. Chang, A. Hankey, and H. E. Stanley,Phys. Rev. B 7:4623 (1973);Phys. Rev. B 8:346 (1973).Google Scholar
- 6.B. Widom,J. Chem. Phys. 43:3892 (1965).Google Scholar
- 7.H. E. Stanley,Introduction to Phase Transitions and Critical Phenomena, Oxford University Press, Oxford (1971); see Table 11.1.Google Scholar
- 8.P. Schofleld,Phys. Rev. Lett. 22:606 (1969).Google Scholar
- 9.R. B. Griffiths,J. Chem. Phys. 60:195 (1974).Google Scholar
- 10.M. E. Fisher and S. Sarbach,Phys. Rev. Lett. 41:1127 (1978).Google Scholar