Carl McBride: Corrected typo.

2010-04-19T14:50:05Z

Corrected typo.

← Older revision		Revision as of 16:50, 19 April 2010
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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 ~~the~~ ''both'' diverge.		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]]

Carl McBride: New page: The '''Yang-Yang anomaly''' [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. ...

2010-04-19T14:21:44Z

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. ...

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. 303-305 (1964)]</ref> provides (Eq. 3):

:<math>C_V = VT \left. \frac{\partial^2 p}{\partial T^2} \right\vert_V -NT \left. \frac{\partial^2 \mu}{\partial T^2} \right\vert_V </math>

where <math>C_V</math> is the [[heat capacity]] at constant volume and <math>\mu</math> is the [[chemical potential]].
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>.
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 the ''both'' diverge.
==References==
<references/>
[[category: statistical mechanics]]

Yang-Yang anomaly - Revision history

Carl McBride: Corrected typo.

Carl McBride: New page: The '''Yang-Yang anomaly''' [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. ...