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UFN, 2012, Volume 182, Number 11, Pages 1137–1156 (Mi ufn4159)  

This article is cited in 61 scientific papers (total in 61 papers)


Where is the supercritical fluid on the phase diagram?

V. V. Brazhkinab, A. G. Lyapina, V. N. Ryzhovab, K. Trachenkoc, Yu. D. Fomina, E. N. Tsioka

a L.F. Vereshchagin Institute for High Pressure Physics, Russian Academy of Sciences
b Moscow Institute of Physics and Technology
c South East Physics Network and School of Physics, Queen Mary University of London

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Abstract: We discuss the fluid state of matter at high temperature and pressure. We review the existing ways in which the boundary between a liquid and a quasigas fluid above the critical point are discussed. We show that the proposed ‘thermodynamic’ continuation of the boiling line, the ‘Widom line’, exists as a line near the critical point only, but becomes a bunch of short lines at a higher temperature. We subsequently propose a new ‘dynamic’ line separating a liquid and a gas-like fluid. The dynamic line is related to different types of particle trajectories and different diffusion mechanisms in liquids and dense gases. The location of the line on the phase diagram is determined by the equality of the liquid relaxation time and the minimal period of transverse acoustic excitations. Crossing the line results in the disappearance of transverse waves at all frequencies, the diffusion coefficient acquiring a value close to that at the critical point, the speed of sound becoming twice the particle thermal speed, and the specific heat reaching 2$k_{\mathrm B}$. In the high-pressure limit, the temperature on the dynamic line depends on pressure in the same way as does the melting temperature. In contrast to the Widom line, the proposed dynamic line separates liquid and gas-like fluids above the critical point at arbitrarily high pressure and temperature. We propose calling the new dynamic line the ‘Frenkel line’.


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English version:
Physics–Uspekhi, 2012, 55:11, 1061–1079

Bibliographic databases:

Document Type: Article
PACS: 62.10.+s, 62.50.-p, 63.50.-x, 64.60.F-, 64.60.fd, 65.20.De, 66.20.Cy
Received: September 20, 2011
Revised: October 31, 2011
Accepted: November 2, 2011

Citation: V. V. Brazhkin, A. G. Lyapin, V. N. Ryzhov, K. Trachenko, Yu. D. Fomin, E. N. Tsiok, “Where is the supercritical fluid on the phase diagram?”, UFN, 182:11 (2012), 1137–1156; Phys. Usp., 55:11 (2012), 1061–1079

Citation in format AMSBIB
\by V.~V.~Brazhkin, A.~G.~Lyapin, V.~N.~Ryzhov, K.~Trachenko, Yu.~D.~Fomin, E.~N.~Tsiok
\paper Where is the supercritical fluid on the phase diagram?
\jour UFN
\yr 2012
\vol 182
\issue 11
\pages 1137--1156
\jour Phys. Usp.
\yr 2012
\vol 55
\issue 11
\pages 1061--1079

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