Editing Critical points
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[[Image:press_temp.png|thumb|right]] | [[Image:press_temp.png|thumb|right]] | ||
The '''critical point''' | The '''critical point''' is a point found at the end of the liquid-vapour coexistence curve (the red point shown on the [[pressure-temperature]] plot on the right). At this point the [[temperature]] is known as the ''critical temperature'' <math>(T_c)</math> | ||
and the [[pressure]] is known as the ''critical pressure'' <math>(P_c)</math>. | and the [[pressure]] is known as the ''critical pressure'' <math>(P_c)</math>. | ||
For an interesting discourse on the "discovery" of the liquid-vapour critical point, the Bakerian Lecture of [[Thomas Andrews]] | For an interesting discourse on the "discovery" of the liquid-vapour critical point, the Bakerian Lecture of [[Thomas Andrews]] | ||
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==Solid-liquid critical point== | ==Solid-liquid critical point== | ||
It is widely held that there is no solid-liquid critical point. The reasoning behind this was given on the grounds of symmetry by Landau and Lifshitz | It is widely held that there is no solid-liquid critical point. The reasoning behind this was given on the grounds of symmetry by Landau and Lifshitz | ||
<ref>L. D. Landau and E. M. Lifshitz, "Statistical Physics" (Course of Theoretical Physics, Volume 5) 3rd Edition Part 1, Chapter XIV, Pergamon Press (1980) § 83 p. 258</ref>. However, recent work using the [[ | <ref>L. D. Landau and E. M. Lifshitz, "Statistical Physics" (Course of Theoretical Physics, Volume 5) 3rd Edition Part 1, Chapter XIV, Pergamon Press (1980) § 83 p. 258</ref>. However, recent work using the [[Z2 potential]] suggests that this may not be the last word on the subject. | ||
<ref>[http://dx.doi.org/10.1063/1.3213616 Måns Elenius and Mikhail Dzugutov "Evidence for a liquid-solid critical point in a simple monatomic system", Journal of Chemical Physics 131, 104502 (2009)]</ref>. | <ref>[http://dx.doi.org/10.1063/1.3213616 Måns Elenius and Mikhail Dzugutov "Evidence for a liquid-solid critical point in a simple monatomic system", Journal of Chemical Physics 131, 104502 (2009)]</ref>. | ||
==Tricritical points== | ==Tricritical points== | ||
*[http://dx.doi.org/10.1103/PhysRevLett.24.715 Robert B. Griffiths "Thermodynamics Near the Two-Fluid Critical Mixing Point in He<sup>3</sup> - He<sup>4</sup>", Physical Review Letters '''24''' 715-717 (1970)] | *[http://dx.doi.org/10.1103/PhysRevLett.24.715 Robert B. Griffiths "Thermodynamics Near the Two-Fluid Critical Mixing Point in He<sup>3</sup> - He<sup>4</sup>", Physical Review Letters '''24''' 715-717 (1970)] | ||
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==Critical exponents== | ==Critical exponents== | ||
:''Main article: [[Critical exponents]]'' | :''Main article: [[Critical exponents]]'' | ||
==See also== | ==See also== | ||
*[[Binder cumulant]] | *[[Binder cumulant]] | ||
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* [http://dx.doi.org/10.1146/annurev.pc.37.100186.001201 J. V. Sengers and J. M. H. Levelt Sengers "Thermodynamic Behavior of Fluids Near the Critical Point", Annual Review of Physical Chemistry '''37''' pp. 189-222 (1986)] | * [http://dx.doi.org/10.1146/annurev.pc.37.100186.001201 J. V. Sengers and J. M. H. Levelt Sengers "Thermodynamic Behavior of Fluids Near the Critical Point", Annual Review of Physical Chemistry '''37''' pp. 189-222 (1986)] | ||
* [http://dx.doi.org/10.1103/PhysRevLett.93.015701 Kamakshi Jagannathan and Arun Yethiraj "Molecular Dynamics Simulations of a Fluid near Its Critical Point", Physical Review Letters '''93''' 015701 (2004)] | * [http://dx.doi.org/10.1103/PhysRevLett.93.015701 Kamakshi Jagannathan and Arun Yethiraj "Molecular Dynamics Simulations of a Fluid near Its Critical Point", Physical Review Letters '''93''' 015701 (2004)] | ||
* Cyril Domb "The Critical Point: A Historical Introduction To The Modern Theory Of Critical Phenomena", Taylor and Francis (1996) ISBN 9780748404353 | * Cyril Domb "The Critical Point: A Historical Introduction To The Modern Theory Of Critical Phenomena", Taylor and Francis (1996) ISBN 9780748404353 | ||
[[category: statistical mechanics]] | [[category: statistical mechanics]] | ||
[[category:classical thermodynamics]] | [[category:classical thermodynamics]] |