BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Whether the Hypothesis of Conformal Invariance Is Fulfilled Near t
 he Critical Points of Fluids?
DTSTART;VALUE=DATE-TIME:20260922T102000Z
DTEND;VALUE=DATE-TIME:20260922T104000Z
DTSTAMP;VALUE=DATE-TIME:20261005T053349Z
UID:indico-contribution-565@indico.bitp.kiev.ua
DESCRIPTION:Speakers: A.V. Chalyi (Bogomolets National Medical University)
 \nL.A. Bulavin$^{1\,2}$\, E.G. Rudnikov$^{1\,3}$\, K.O. Cherevko$^{1\,2}$\
 , A.V. Chalyi$^4$\n\n1 Department of Molecular Physics\, Faculty of Physic
 s\, Kyiv National Taras Shevchenko University\, Volodymyrska Str.\, 64 Kyi
 v 01601\, Ukraine\n2 Institute for Safety Problems of Nuclear Power Plants
  of the NAS of Ukraine\, Lysohirska Street\, 12\, Kyiv 03028\, Ukraine\n3 
 Department of Biomedical Cybernetics\, Faculty of Biomedical Engineering\,
  National Technical University of Ukraine "Ihor Sikorsky Kyiv Polytechnic 
 Institute"\, Beresteyskiy Ave.\, 37 Kyiv 03056\, Ukraine\n4 Department of 
 Medical and Biological Physics and Informatics\, Bogomolets National Medic
 al University\, Shevchenko Blvd.\, 13\, Kyiv 01601\, Ukraine\n\n\nConforma
 l transformations were introduced in the physics of phase transitions by A
 .M. Polyakov [1]. Based on the hypothesis of conformal invariance (CI)\, s
 cale invariance with anomalous dimensions was proposed [2]\, both in the t
 heory of critical phenomena for fluctuating quantities and in hadronic int
 eractions. The CI hypothesis also proves to be fundamental in interdiscipl
 inary research\, for example\, to explain the formation of hexagonal struc
 tures in the system of grid cells in the brain (2014 Nobel Prize in Physio
 logy and medicine) [3] An important consequence of CI hypothesis in the ph
 ysics of phase transitions\, according to [4]\, is the orthogonality relat
 ion for two fluctuating quantities of transitions with different scale dim
 ensions within the algebra of fluctuating quantities\, which was proposed 
 by V.L. Pokrovskii [5] (see also [6]). The aim of this work is to verify f
 or the first time the CI hypothesis for the liquid-vapor critical points o
 f single-component fluids based on existing experimental data. For this pu
 rpose\, we used experimental data for carbon dioxide [7]\, water [8\,9]\, 
 and polyol ester (POE9) lubricant with a higher critical temperature\, for
  which experimental data are available in the scientific literature [10]. 
 These fluids have critical temperatures $T_C=304.1$K\, $T_C=647.1$ K and $
 T_C=970.0$ K and critical densities  $\\rho_C=467.6$ kg/m3\, $\\rho_C=322.
 0$ kg/m3 and  $\\rho_C=220.3$ kg/m3\, respectively. It was proven that for
  the studied fluids the hypothesis of conformal invariance holds in temper
 ature intervals determined from experimental data near their liquid-vapor 
 critical points. The values of the temperature intervals in which the hypo
 thesis of conformal invariance near the liquid-vapor critical points is fu
 lfilled depend on the absolute values of the critical parameters of the st
 udied fluids. Confirmation of the CI hypothesis also means that the temper
 ature derivative of the coexistence-curve diameter retains the weak singul
 arity with the exponent of the isochoric heat capacity [11-13].\n\n1. A.M.
  Polyakov\, Conformal symmetry of critical fluctuations\, JETP Lett. 12\, 
 381–383 (1970).\n2. A.A. Migdal\, Conformal invariance and bootstrap\, P
 hys. Lett. B 37(4)\, 386–388 (1971). doi: 10.1016/0370-2693(71)90211-5\n
 3. A.V. Chalyi. What is Medicine? Basic Principles of Physics in Medicine 
 and Beyond\, Springer Nature Switzerland AG (2024). https//doi.org/10/1007
 /978-3031-64979-0\n4. L.P. Kadanoff\, Operator algebra and the determinati
 on of critical indices\, Phys. Rev. Lett. 23(25)\, 1430–1433 (1969).\n5.
  V.L. Pokrovskii\, Feasibility of experimental verification of the conform
 al invariance hypothesis\, JETP Lett. 17\, 219–221 (1973).\n6. A.Z. Pata
 shinsky\, V.L. Pokrovsky\, Fluctuation Theory of Phase Transitions (Pergam
 on Press\, Oxford\, 1979).\n7. R. Span\, W. Wagner\, Equations of state fo
 r technical applications. III. Results for polar fluids\, Int. J. Thermoph
 ys. 24(1)\, 111–162(2003). doi: 10.1023/A:1022362231796\n8. M.Z. Southar
 d\, D.W. Green\, Perry’s Chemical Engineers’ Handbook\, 9th ed. (McGra
 w-Hill Education\, New York\, 2019).\n9. REFPROP Database\, National Insti
 tute of Standards and Technology\, SRD 23\, Version 10 (2018). doi: 10.184
 34/T4/1502528\n10. T.J. Bruno\, T.J. Fortin\, M.L. Huber\, A. Laesecke\, E
 .W. Lemmon\, E. Mansfield\, M.O. McLinden\, S.L. Outcalt\, R.A. Perkins\, 
 K.N.Urness\, J.A. Widegren\, Thermophysical Properties of Polyol Ester Lub
 ricants\, NISTIR 8263 (National Institute of Standards and Technology\, 20
 19). doi: 10.6028/NIST.IR.8263\n11. L.M. Artyukhovskaya\, E.T. Shmanskaya\
 , Yu.I. Shimanskii\, Heptane coexistence curve near the critical point. JE
 TP 63(3)\, 2153-2164\, (1972).\n12.  L.A. Bulavin\, Yu.I. Shimanskii. The 
 singularity of the coexistence-curve diameter of ethane. JETP Lett 29(8) 4
 82 (1979).\n13. A.V. Chalyi\, L.A. Bulavin\, K.A. Chalyy. On the neutron o
 ptics of liquids\, J/ Mol. Liquids 383\, 121979 (2023).\,\n\nhttps://indic
 o.bitp.kiev.ua/event/18/contributions/565/
LOCATION:Bogolyubov Institute for Theoretical Physics Conference Hall
URL:https://indico.bitp.kiev.ua/event/18/contributions/565/
END:VEVENT
END:VCALENDAR