Critical variable: Difference between revisions
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'''Critical variables''' are defined, for example in [[Physics:Thermodynamics|thermodynamics]], in terms of the values of variables at the critical point. | {{Short description|Thermodynamic variables associated with critical points}} | ||
'''Critical variables''' are defined, for example in [[Physics:Thermodynamics|thermodynamics]], in terms of the values of variables at the [[Critical point|critical point]]. | |||
On a PV diagram, the critical point is an [[Inflection point|inflection point]]. Thus: | On a PV diagram, the critical point is an [[Inflection point|inflection point]]. Thus:<ref name=Sommerfeld >{{cite book | last = Sommerfeld | first = A. | editor-last1 = Bopp | editor-first1 = F. | editor-last2 = Meixner | editor-first2 = J. | translator-last = Kestin | translator-first = J. | date = 1956 | title = Thermodynamics and Statistical Mechanics - Lectures on Theoretical Physics Volume V | location = NY | publisher = Academic Press | pages=56-57}}</ref> | ||
:<math> | :<math> | ||
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</math> | </math> | ||
For the [[Physics:Van der Waals equation|van der Waals equation]], the above yields: | For the [[Physics:Van der Waals equation|van der Waals equation]], the above yields:<ref name=Sommerfeld/> | ||
:<math> | :<math> | ||
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</math> | </math> | ||
==References== | |||
{{reflist}} | |||
{{DEFAULTSORT:Critical Variable}} | {{DEFAULTSORT:Critical Variable}} | ||
[[Category:Thermodynamic properties]] | [[Category:Thermodynamic properties]] | ||
[[Category:Conformal field theory]] | [[Category:Conformal field theory]] | ||
{{Sourceattribution|Critical variable}} | {{Sourceattribution|Critical variable}} | ||
Latest revision as of 19:14, 22 May 2026
Short description: Thermodynamic variables associated with critical points
Critical variables are defined, for example in thermodynamics, in terms of the values of variables at the critical point.
On a PV diagram, the critical point is an inflection point. Thus:[1]
For the van der Waals equation, the above yields:[1]
References
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