Where is the supercritical fluid on the phase diagram?

V.V. Brazhkin^a, b, A.G. Lyapin^a, V.N. Ryzhov^a, b, K. Trachenko^c, Yu.D. Fomin^a, E.N. Tsiok^a
^aInstitute for High Pressure Physics, Russian Academy of Sciences, Kaluzhskoe shosse 14, Troitsk, Moscow, 108840, Russian Federation
^bMoscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation
^cSouth East Physics Network and School of Physics, Queen Mary University of London, Mile End Road, London, E1 4NS, UK

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 2k_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’.

PACS: 62.10.+s, 62.50.−p, 63.50.−x, 64.60.F−, 64.60.fd, 65.20.De, 66.20.Cy (all)
DOI: 10.3367/UFNe.0182.201211a.1137
URL: https://ufn.ru/en/articles/2012/11/a/
Web of Science

000314808600001
Scopus

2-s2.0-84873901364
ADS NASA

2012PhyU...55.1061B
Citation: Brazhkin V V, Lyapin A G, Ryzhov V N, Trachenko K, Fomin Yu D, Tsiok E N "Where is the supercritical fluid on the phase diagram?" Phys. Usp. 55 1061–1079 (2012)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 20th, September 2011, revised: 31st, October 2011, accepted: 2nd, November 2011

Оригинал: Бражкин В В, Ляпин А Г, Рыжов В Н, Траченко К, Фомин Ю Д, Циок Е Н «Где находится область сверхкритического флюида на фазовой диаграмме?» УФН 182 1137–1156 (2012); DOI: 10.3367/UFNr.0182.201211a.1137

References (73) Cited by (135) Similar articles (20) ↓

V.N. Ryzhov, E.E. Tareyeva et al “Complex phase diagrams of systems with isotropic potentials: results of computer simulations” Phys. Usp. 63 417–439 (2020)
V.N. Ryzhov, E.E. Tareyeva et al “Berezinskii—Kosterlitz—Thouless transition and two-dimensional melting” Phys. Usp. 60 857–885 (2017)
V.E. Fortov, A.G. Khrapak et al “Dusty plasmas” Phys. Usp. 47 447–492 (2004)
A.A. Likal’ter “Critical points of condensation in Coulomb systems” Phys. Usp. 43 777–797 (2000)
S.M. Stishov “The thermodynamics of melting of simple substances” Sov. Phys. Usp. 17 625–643 (1975)
B.M. Smirnov “Scaling method in atomic and molecular physics” Phys. Usp. 44 1229–1253 (2001)
D.K. Belashchenko “Computer simulation of liquid metals” Phys. Usp. 56 1176–1216 (2013)
A.A. Likal’ter “Gaseous metals” Sov. Phys. Usp. 35 (7) 591–605 (1992)
S.M. Stishov, A.E. Petrova “Itinerant helimagnet MnSi” Phys. Usp. 54 1117–1130 (2011)
V.V. Brazhkin, A.G. Lyapin “Universal viscosity growth in metallic melts at megabar pressures: the vitreous state of the Earth’s inner core” Phys. Usp. 43 493–508 (2000)
V.V. Brazhkin “Ultrahard nanomaterials: myths and reality” Phys. Usp. 63 523–544 (2020)
D.S. Sanditov, M.I. Ojovan “Relaxation aspects of the liquid—glass transition” Phys. Usp. 62 111–130 (2019)
D.K. Belashchenko “Does the embedded atom model have predictive power?” Phys. Usp. 63 1161–1187 (2020)
M.A. Anisimov, E.E. Gorodetskii, V.M. Zaprudskii “Phase transitions with coupled order parameters” Sov. Phys. Usp. 24 57–75 (1981)
A.V. Nikolaev, A.V. Tsvyashchenko “The puzzle of the γ→α and other phase transitions in cerium” Phys. Usp. 55 657–680 (2012)
S.M. Stishov “Entropy, disorder, melting” Sov. Phys. Usp. 31 52–67 (1988)
V.V. Val’kov, D.M. Dzebisashvili et al “Spin-polaron concept in the theory of normal and superconducting states of cuprates” Phys. Usp. 64 641–670 (2021)
A.V. Bushman, V.E. Fortov “Model equations of state” Sov. Phys. Usp. 26 465–496 (1983)
I.M. Lifshits, A.Yu. Grosberg, A.R. Khokhlov “Volume interactions in the statistical physics of a polymer macromolecule” Sov. Phys. Usp. 22 123–142 (1979)
S.A. Pikin, V.L. Indenbom “Thermodynamic states and symmetry of liquid crystals” Sov. Phys. Usp. 21 487–501 (1978)

The list is formed automatically.