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from: Quantum critical point (at 0 K)[edit]

(bi)critical points L=V 'First-order transitions do not normally show critical fluctuations as the material moves discontinuously from one phase into another. However, if the first order phase transition does not involve a change of symmetry then the phase diagram can contain a critical endpoint where the first-order phase transition terminates. Such an endpoint has a divergent susceptibility. The transition between the liquid and gas phases is an example of a first-order transition without a change of symmetry and the critical endpoint is characterized by critical fluctuations known as critical opalescence.' 84.85.9.164 (talk) 01:07, 20 October 2018 (UTC)[reply]

from Liquid-liquid critical point[edit]

L=L 'A liquid-liquid critical point (or LLCP) is the endpoint of a liquid-liquid phase transition line (LLPT); it is a critical point where two types of local structures coexist at the exact ratio of unity. This hypothesis was first developed by H.E. Stanley to obtain a quantitative understanding of the huge number of anomalies present in (supercooled) water. At any point of the liquid-liquid phase transition, including at the associated liquid-liquid critical point, the ratio of low-density liquid to high-density liquid is exactly one.' — Preceding unsigned comment added by 84.85.9.164 (talk) 02:57, 21 October 2018 (UTC)[reply]

from Alex Hankey[edit]

T.S. Chang, A. Hankey and H.E. Stanley, "Generalized Scaling Hypothesis in Multicomponent Systems. I. Classification of Critical Points by Order and Scaling at Tricritical Points", Phys.Rev. B 8, 346–364 (1973).
A. Hankey, H.E. Stanley, and T.S. Chang, "Geometric Predictions of Scaling at Tricritical Points", Phys.Rev.Lett. 29, 278-281 (1972).  — Preceding unsigned comment added by 84.85.9.164 (talk) 18:08, 17 November 2018 (UTC)[reply] 

Competing definitions and the need for rewriting[edit]

Hello, I am wondering if this page is currently being watched. In modern condensed matter, the more common use of the defintion of tricritical points are that " a tricritical point (TCP) is a point at which the order of the transition changes its character from first to second order."[1]. I would like to begin a rewriting of this article that highlights the distinction between the more traditional liquid-gas classical statistical mechanics definition and this more modern definition of TCP. There is an increasing amount of work on quantum critical points (QCP) where TCPs are intriguing phenomena, but they also appear in the Ising model. There's a substantial amount of material in the existing literature which would contribute to this page to remove it from being a stub. Would I be stepping on anyone's toes?

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