Yang-Yang anomaly: Difference between revisions
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Carl McBride (talk | contribs) (New page: The '''Yang-Yang anomaly''' <ref>[http://dx.doi.org/10.1103/PhysRevLett.13.303 C. N. Yang and C. P. Yang "Critical Point in Liquid-Gas Transitions", Physical Review Letters '''13''' pp. ...) |
Carl McBride (talk | contribs) m (Corrected typo.) |
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Given that experimentally it is found that <math>C_V</math> diverges at the [[Critical points | critical temperature]] this implies that | Given that experimentally it is found that <math>C_V</math> diverges at the [[Critical points | critical temperature]] this implies that | ||
either <math>\partial^2 p/\partial T^2</math> or <math>\partial^2 \mu/\partial T^2</math>, or both, diverge as <math>T \rightarrow T_c^-</math>. | either <math>\partial^2 p/\partial T^2</math> or <math>\partial^2 \mu/\partial T^2</math>, or both, diverge as <math>T \rightarrow T_c^-</math>. | ||
Fisher and Orkoulas <ref>[http://dx.doi.org/10.1103/PhysRevLett.85.696 Michael E. Fisher and G. Orkoulas "The Yang-Yang Anomaly in Fluid Criticality: Experiment and Scaling Theory", Physical Review Letters '''85''' pp. 696-699 (2000)]</ref> showed | Fisher and Orkoulas <ref>[http://dx.doi.org/10.1103/PhysRevLett.85.696 Michael E. Fisher and G. Orkoulas "The Yang-Yang Anomaly in Fluid Criticality: Experiment and Scaling Theory", Physical Review Letters '''85''' pp. 696-699 (2000)]</ref> showed that ''both'' terms diverge. | ||
==References== | ==References== | ||
<references/> | <references/> | ||
[[category: statistical mechanics]] | [[category: statistical mechanics]] | ||
Latest revision as of 14:50, 19 April 2010
The Yang-Yang anomaly [1] provides (Eq. 3):
where is the heat capacity at constant volume and is the chemical potential.
Given that experimentally it is found that diverges at the critical temperature this implies that
either or , or both, diverge as .
Fisher and Orkoulas [2] showed that both terms diverge.