Critical points: Difference between revisions

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==Critical exponents==
==Critical exponents==
:''Main article: [[Critical exponents]]''
:''Main article: [[Critical exponents]]''
 
==Solid-liquid critical point==
*[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)]
==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)]

Revision as of 14:06, 9 September 2009

This SklogWiki entry needs to be rewritten at some point to improve coherence and readability.

Introduction

For an interesting discourse on the "discovery" of the gas-liquid critical point, the Bakerian Lecture of Thomas Andrews makes interesting reading (Ref. 1). Critical points are singularities in the partition function. In the critical point vicinity (Ref. 2 Eq. 17a)

and

For a review of the critical region see the work of Michael E. Fisher (Ref. 3).

"... Turning now to the question of specific heats, it has long been known
that real gases exhibit a large ``anomalous" specific-heat maximum
above  which lies near the critical isochore and which is not expected on classical theory..." (Ref. 3)

also

"... measurements (Ref 4) of  for argon along the critical isochore suggest strongly that
. Such a result is again inconsistent with classical theory."

Thus in the vicinity of the liquid-vapour critical point, both the isothermal compressibility and the heat capacity at constant pressure diverge to infinity.

Critical exponents

Main article: Critical exponents

Solid-liquid critical point

Tricritical points

See also

Recomended reading

  • Cyril Domb "The Critical Point: A Historical Introduction To The Modern Theory Of Critical Phenomena", Taylor and Francis (1996) ISBN 9780748404353

References

  1. Thomas Andrews "The Bakerian Lecture: On the Continuity of the Gaseous and Liquid States of Matter", Philosophical Transactions of the Royal Society of London 159 pp. 575-590 (1869)
  2. G. A. Martynov; G. N. Sarkisov "Exact equations and the theory of liquids. V", Molecular Physics 49 pp. 1495-1504 (1983)
  3. Michael E. Fisher "Correlation Functions and the Critical Region of Simple Fluids", Journal of Mathematical Physics 5 pp. 944-962 (1964)
  4. A. Michels, J.M. Levelt and G.J. Wolkers "Thermodynamic properties of argon at temperatures between 0°C and −140°C and at densities up to 640 amagat (pressures up to 1050 atm.)", Physica 24 pp. 769-794 (1958)
  5. M. I. Bagatskii and A. V. Voronel and B. G. Gusak "", Journal of Experimental and Theoretical Physics 16 pp. 517- (1963)
  6. Robert B. Griffiths and John C. Wheeler "Critical Points in Multicomponent Systems", Physical Review A 2 1047 - 1064 (1970)
  7. Michael E. Fisher "The renormalization group in the theory of critical behavior", Reviews of Modern Physics 46 pp. 597 - 616 (1974)
  8. 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)
  9. Kamakshi Jagannathan and Arun Yethiraj "Molecular Dynamics Simulations of a Fluid near Its Critical Point", Physical Review Letters 93 015701 (2004)