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Thermodynamic properties of fluids near the critical point, as interpreted by a simplified renormalization theory and the self-limitation of fluctuations

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  • Rice, O.K.
  • Chang, D.R.

Abstract

The simplified renormalization theory has been applied to fluids and generalized so that it can be used elsewhere than on the critical isochore. A general expression for the correlation has been found, and applied to the critical isotherm to get the critical exponent δ. The equation of state is shown to be consistent with that used in our previous discussion of the self-limitation of fluctuations. The coexistence curve and the equation of state in the metastable region below the coexistence curve have been examined, and the pressure has been found to become infinite along a curve which has the same critical exponent as the coexistence curve. There is no ordinary spinodal. In the last section a correction is made to one of our papers on the self-limitation of fluctuations. It is found that the feedback of the fluctuations on the compressibility is large, and the actual inverse compressibility is a small difference between the original value and the correction. This is discussed in the light of the simplified renormalization theory and the self-limitation of fluctuations.

Suggested Citation

  • Rice, O.K. & Chang, D.R., 1975. "Thermodynamic properties of fluids near the critical point, as interpreted by a simplified renormalization theory and the self-limitation of fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 83(1), pages 18-32.
    • Handle: RePEc:eee:phsmap:v:83:y:1975:i:1:p:18-32
    DOI: 10.1016/0378-4371(76)90133-3
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