1
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Khrapak SA, Khrapak AG. Vibrational model for thermal conductivity of Lennard-Jones fluids: Applicability domain and accuracy level. Phys Rev E 2023; 108:064129. [PMID: 38243470 DOI: 10.1103/physreve.108.064129] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/14/2023] [Accepted: 11/30/2023] [Indexed: 01/21/2024]
Abstract
Exact mechanisms of thermal conductivity in liquids are not well understood, despite a rich research history. A vibrational model of energy transfer in dense simple liquids with soft pairwise interactions seems adequate to partially fill this gap. The purpose of the present paper is to define its applicability domain and to demonstrate how well it works within the identified applicability domain in the important case of the Lennard-Jones model system. The existing results from molecular dynamics simulations are used for this purpose. Additionally, we show that a freezing density scaling approach represents a very powerful tool to estimate the thermal conductivity coefficient across essentially the entire gas-liquid region of the phase diagram, including metastable regions. A simple practical expression serving this purpose is proposed.
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Affiliation(s)
- S A Khrapak
- Joint Institute for High Temperatures, Russian Academy of Sciences, 125412 Moscow, Russia
| | - A G Khrapak
- Joint Institute for High Temperatures, Russian Academy of Sciences, 125412 Moscow, Russia
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2
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Shen Z, Carrillo JMY, Sumpter BG, Wang Y. Mesoscopic two-point collective dynamics of glass-forming liquids. J Chem Phys 2023; 159:114501. [PMID: 37712790 DOI: 10.1063/5.0161866] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/12/2023] [Accepted: 08/24/2023] [Indexed: 09/16/2023] Open
Abstract
The collective density-density and hydrostatic pressure-pressure correlations of glass-forming liquids are spatiotemporally mapped out using molecular dynamics simulations. It is shown that the sharp rise of structural relaxation time below the Arrhenius temperature coincides with the emergence of slow, nonhydrodynamic collective dynamics on mesoscopic scales. The observed long-range, nonhydrodynamic mode is independent of wave numbers and closely coupled to the local structural dynamics. Below the Arrhenius temperature, it dominates the slow collective dynamics on length scales immediately beyond the first structural peak in contrast to the well-known behavior at high temperatures. These results highlight a key connection between the qualitative change in mesoscopic two-point collective dynamics and the dynamic crossover phenomenon.
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Affiliation(s)
- Zhiqiang Shen
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - Jan-Michael Y Carrillo
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - Bobby G Sumpter
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - Yangyang Wang
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
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3
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Pruteanu CG, Bannerman MN, Kirsz M, Lue L, Ackland GJ. From Atoms to Colloids: Does the Frenkel Line Exist in Discontinuous Potentials? ACS OMEGA 2023; 8:12144-12153. [PMID: 37033816 PMCID: PMC10077443 DOI: 10.1021/acsomega.2c08056] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/19/2022] [Accepted: 03/20/2023] [Indexed: 06/19/2023]
Abstract
The Frenkel line has been proposed as a crossover in the fluid region of phase diagrams between a "nonrigid" and a "rigid" fluid. It is generally described as a crossover in the dynamical properties of a material and as such has been described theoretically using a very different set of markers from those with which is it investigated experimentally. In this study, we have performed extensive calculations using two simple yet fundamentally different model systems: hard spheres and square-well potentials. The former has only hardcore repulsion, while the latter also includes a simple model of attraction. We computed and analyzed a series of physical properties used previously in simulations and experimental measurements and discuss critically their correlations and validity as to being able to uniquely and coherently locate the Frenkel line in discontinuous potentials.
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Affiliation(s)
- Ciprian G. Pruteanu
- SUPA,
School of Physics and Astronomy and Centre for Science at Extreme
Conditions, The University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
| | - Marcus N. Bannerman
- School
of Engineering, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom
| | - Marcin Kirsz
- SUPA,
School of Physics and Astronomy and Centre for Science at Extreme
Conditions, The University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
| | - Leo Lue
- Department
of Chemical and Process Engineering, University
of Strathclyde, James
Weir Building, 75 Montrose Street, Glasgow G1 1XJ, United
Kingdom
| | - Graeme J. Ackland
- SUPA,
School of Physics and Astronomy and Centre for Science at Extreme
Conditions, The University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
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4
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Khrapak S. Bridgman formula for the thermal conductivity of atomic and molecular liquids. J Mol Liq 2023. [DOI: 10.1016/j.molliq.2023.121786] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/08/2023]
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5
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Khrapak SA, Khrapak AG. Excess entropy and Stokes-Einstein relation in simple fluids. Phys Rev E 2021; 104:044110. [PMID: 34781514 DOI: 10.1103/physreve.104.044110] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/28/2021] [Accepted: 09/17/2021] [Indexed: 11/07/2022]
Abstract
The Stokes-Einstein (SE) relation between the self-diffusion and shear viscosity coefficients operates in sufficiently dense liquids not too far from the liquid-solid phase transition. By considering four simple model systems with very different pairwise interaction potentials (Lennard-Jones, Coulomb, Debye-Hückel or screened Coulomb, and the hard sphere limit) we identify where exactly on the respective phase diagrams the SE relation holds. It appears that the reduced excess entropy s_{ex} can be used as a suitable indicator of the validity of the SE relation. In all cases considered the onset of SE relation validity occurs at approximately s_{ex}≲-2. In addition, we demonstrate that the line separating gaslike and liquidlike fluid behaviours on the phase diagram is roughly characterized by s_{ex}≃-1.
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Affiliation(s)
- S A Khrapak
- Joint Institute for High Temperatures, Russian Academy of Sciences, 125412 Moscow, Russia
| | - A G Khrapak
- Joint Institute for High Temperatures, Russian Academy of Sciences, 125412 Moscow, Russia
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6
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Khrapak SA, Yurchenko SO. Entropy of simple fluids with repulsive interactions near freezing. J Chem Phys 2021; 155:134501. [PMID: 34624995 DOI: 10.1063/5.0063559] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Among different thermodynamic properties of liquids, the entropy is one of the hardest quantities to estimate. Therefore, the development of models allowing accurate estimations of the entropy for different mechanisms of interatomic interactions represents an important problem. Here, we propose a method for estimating the excess entropy of simple liquids not too far from the liquid-solid phase transition. The method represents a variant of cell theory, which particularly emphasizes relations between liquid state thermodynamics and collective modes properties. The method is applied to calculate the excess entropy of inverse-power-law fluids with ∝r-n repulsive interactions. The covered range of potential softness is extremely wide, including the very soft Coulomb (n = 1) case, much steeper n = 6 and n = 12 cases, and the opposite hard-sphere interaction limit (n = ∞). An overall reasonably good agreement between the method's outcome and existing "exact" results is documented at sufficiently high fluid densities. Its applicability condition can be conveniently formulated in terms of the excess entropy itself. The method is also applied to the Lennard-Jones potential but demonstrates considerably lower accuracy in this case. Our results should be relevant to a broad range of liquid systems that can be described with isotropic repulsive interactions, including liquid metals, macromolecular systems, globular proteins, and colloidal suspensions.
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7
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Bryk T, Jakse N, Mryglod I, Ruocco G, Wax JF. Comment on "Universal Effect of Excitation Dispersion on the Heat Capacity and Gapped States in Fluids". PHYSICAL REVIEW LETTERS 2021; 126:229601. [PMID: 34152179 DOI: 10.1103/physrevlett.126.229601] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/12/2020] [Accepted: 04/12/2021] [Indexed: 06/13/2023]
Affiliation(s)
- Taras Bryk
- Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, UA-79011 Lviv, Ukraine
- Institute of Applied Mathematics and Fundamental Sciences, Lviv National Polytechnic University, UA-79013 Lviv, Ukraine
| | - Noël Jakse
- Université Grenoble Alpes, CNRS, Grenoble INP, SIMaP, F-38000 Grenoble, France
| | - Ihor Mryglod
- Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, UA-79011 Lviv, Ukraine
| | - Giancarlo Ruocco
- Center for Life Nano Science @Sapienza, Istituto Italiano di Tecnologia, 295 Viale Regina Elena, I-00161 Roma, Italy
- Dipartimento di Fisica, Universita' di Roma "La Sapienza," I-00185 Roma, Italy
| | - Jean-François Wax
- Laboratoire de Chimie et de Physique A2MC, Université de Lorraine - Metz, Metz, 1, boulevard Arago, 57078 Metz Cedex 3, France
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8
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Khrapak S, Kryuchkov NP, Mistryukova LA, Yurchenko SO. From soft- to hard-sphere fluids: Crossover evidenced by high-frequency elastic moduli. Phys Rev E 2021; 103:052117. [PMID: 34134345 DOI: 10.1103/physreve.103.052117] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/30/2020] [Accepted: 04/27/2021] [Indexed: 06/12/2023]
Abstract
The conventional (Zwanzig-Mountain) expressions for instantaneous elastic moduli of simple fluids predict their divergence as the limit of hard-sphere (HS) interaction is approached. However, elastic moduli of a true HS fluid are finite. Here we demonstrate that this paradox reveals the soft-to-hard-sphere crossover in fluid excitations and thermodynamics. With extensive in silico study of fluids with repulsive power-law interactions (∝r^{-n}), we locate the crossover at n≃10-20 and develop a simple and accurate model for the HS regime. The results open prospects to deal with the elasticity and related phenomena in various systems, from simple fluids to melts and glasses.
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Affiliation(s)
- Sergey Khrapak
- Joint Institute for High Temperatures, Russian Academy of Sciences, 125412 Moscow, Russia
- Bauman Moscow State Technical University, 105005 Moscow, Russia
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR), 82234 Weßling, Germany
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9
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Petrillo C, Sacchetti F. Future applications of the high-flux thermal neutron spectroscopy: the ever-green case of collective excitations in liquid metals. ADVANCES IN PHYSICS: X 2021. [DOI: 10.1080/23746149.2021.1871862] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022] Open
Affiliation(s)
- Caterina Petrillo
- Department of Physics & Earth Science, University of Perugia, Perugia, Italy
| | - Francesco Sacchetti
- Department of Physics & Earth Science, University of Perugia, Perugia, Italy
- National Research Council, Institute IOM-CNR, Perugia, Italy
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10
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Kryuchkov NP, Mistryukova LA, Sapelkin AV, Brazhkin VV, Yurchenko SO. Universal Effect of Excitation Dispersion on the Heat Capacity and Gapped States in Fluids. PHYSICAL REVIEW LETTERS 2020; 125:125501. [PMID: 33016757 DOI: 10.1103/physrevlett.125.125501] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/13/2020] [Revised: 07/17/2020] [Accepted: 07/23/2020] [Indexed: 06/11/2023]
Abstract
The change in dispersion of high-frequency excitations in fluids, from an oscillating solidlike to a monotonic gaslike one, is shown for the first time to affect thermal behavior of heat capacity and the q-gap width in reciprocal space. With in silico study of liquified noble gases, liquid iron, liquid mercury, and model fluids, we established universal bilinear dependence of heat capacity on q-gap width, whereas the crossover precisely corresponds to the change in the excitation spectra. The results open novel prospects for studies of various fluids, from simple to molecular liquids and melts.
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Affiliation(s)
- Nikita P Kryuchkov
- Bauman Moscow State Technical University, 2nd Baumanskaya street 5, Moscow 105005, Russia
| | - Lukiya A Mistryukova
- Bauman Moscow State Technical University, 2nd Baumanskaya street 5, Moscow 105005, Russia
| | - Andrei V Sapelkin
- School of Physics and Astronomy, Queen Mary University of London, London E1 4NS, England
| | - Vadim V Brazhkin
- Institute for High Pressure Physics RAS, Kaluzhskoe shosse, 14, Troitsk, Moscow 108840, Russia
| | - Stanislav O Yurchenko
- Bauman Moscow State Technical University, 2nd Baumanskaya street 5, Moscow 105005, Russia
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11
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Khrapak SA. Sound Velocities of Lennard-Jones Systems Near the Liquid-Solid Phase Transition. Molecules 2020; 25:E3498. [PMID: 32752011 PMCID: PMC7435481 DOI: 10.3390/molecules25153498] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/06/2020] [Revised: 07/27/2020] [Accepted: 07/29/2020] [Indexed: 11/30/2022] Open
Abstract
Longitudinal and transverse sound velocities of Lennard-Jones systems are calculated at the liquid-solid coexistence using the additivity principle. The results are shown to agree well with the "exact" values obtained from their relations to excess energy and pressure. Some consequences, in particular in the context of the Lindemann's melting rule and Stokes-Einstein relation between the self-diffusion and viscosity coefficients, are discussed. Comparison with available experimental data on the sound velocities of solid argon at melting conditions is provided.
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Affiliation(s)
- Sergey A. Khrapak
- Institute for Materials Physics in Space, German Aerospace Center (DLR), 82234 Wessling, Germany;
- Department of Physics, Bauman Moscow State Technical University, 105005 Moscow, Russia
- Joint Institute for High Temperatures, Russian Academy of Sciences, 125412 Moscow, Russia
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12
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Yakovlev EV, Kryuchkov NP, Ovcharov PV, Sapelkin AV, Brazhkin VV, Yurchenko SO. Direct Experimental Evidence of Longitudinal and Transverse Mode Hybridization and Anticrossing in Simple Model Fluids. J Phys Chem Lett 2020; 11:1370-1376. [PMID: 31999463 DOI: 10.1021/acs.jpclett.9b03568] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
A significant number of key properties of condensed matter are determined by the spectra of elementary excitations and, in particular, collective vibrations. However, the behavior and description of collective modes in disordered media (e.g., liquids and glasses) remains a challenging area of modern condensed matter science. Recently, anticrossing between longitudinal and transverse modes was predicted theoretically and observed in molecular dynamics simulations, but this fundamental phenomenon has never been observed experimentally. Here we demonstrate the mode anticrossing in a simple Yukawa fluid constructed from charged microparticles in weakly ionized gas. Theory, simulations, and experiments show clear evidence of mode anticrossing that is accompanied by mode hybridization and strong redistribution of the excitation spectra. Our results provide a significant advance in understanding excitations of fluids, opening new perspectives for studies of dynamics, thermodynamics, and transport phenomena in a wide variety of systems from noble-gas fluids and metallic melts to strongly coupled plasmas and molecular and complex fluids.
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Affiliation(s)
- Egor V Yakovlev
- Bauman Moscow State Technical University , 2nd Baumanskaya Street 5 , 105005 Moscow , Russia
| | - Nikita P Kryuchkov
- Bauman Moscow State Technical University , 2nd Baumanskaya Street 5 , 105005 Moscow , Russia
| | - Pavel V Ovcharov
- Bauman Moscow State Technical University , 2nd Baumanskaya Street 5 , 105005 Moscow , Russia
| | - Andrei V Sapelkin
- School of Physics and Astronomy , Queen Mary University of London , London E1 4NS , England
| | - Vadim V Brazhkin
- Institute for High Pressure Physics RAS , Kaluzhskoe Shosse 14 , Troitsk, 108840 Moscow , Russia
| | - Stanislav O Yurchenko
- Bauman Moscow State Technical University , 2nd Baumanskaya Street 5 , 105005 Moscow , Russia
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13
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Abstract
A new analysis of elastic properties of dense hard-sphere (HS) fluids is presented, based on the expressions derived by Miller [J. Chem. Phys. 50, 2733 (1969)JCPSA60021-960610.1063/1.1671437]. Important consequences for HS fluids in terms of sound waves propagation, Poisson's ratio, Stokes-Einstein relation, and generalized Cauchy identity are explored. Conventional expressions for high-frequency elastic moduli for simple systems with continuous and differentiable interatomic interaction potentials are known to diverge when approaching the HS repulsive limit. The origin of this divergence is identified here. It is demonstrated that these conventional expressions are only applicable for sufficiently soft interactions and should not be applied to HS systems. The reported results can be of interest in the context of statistical physics, physics of fluids, soft condensed matter, and granular materials.
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Affiliation(s)
- Sergey Khrapak
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR), 82234 Weßling, Germany and Joint Institute for High Temperatures, Russian Academy of Sciences, 125412 Moscow, Russia
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14
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Kryuchkov NP, Brazhkin VV, Yurchenko SO. Anticrossing of Longitudinal and Transverse Modes in Simple Fluids. J Phys Chem Lett 2019; 10:4470-4475. [PMID: 31310540 DOI: 10.1021/acs.jpclett.9b01468] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
If interacting modes of the same symmetry cross, they repel from each other and become hybridized. This phenomenon is called anticrossing and is well-known for mechanical oscillations, electromagnetic circuits, waveguides, metamaterials, polaritons, and phonons in crystals, but it still remains poorly understood in simple fluids. Here, we show that structural disorder and anharmonicity, governing properties of fluids, lead to the anticrossing of longitudinal and transverse modes, which is accompanied by their hybridization and strong redistribution of excitation spectra. We combined theory and simulations for noble gases to prove the reliability of mode anticrossing in simple fluids, studied here for the first time. Our results open novel prospects in understanding collective dynamics, thermodynamics, and transport phenomena in various fluids, spanning from noble gas fluids and metallic melts to strongly coupled plasmas and molecular and complex fluids.
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Affiliation(s)
- Nikita P Kryuchkov
- Bauman Moscow State Technical University , Second Baumanskaya Street 5 , 105005 Moscow , Russia
| | - Vadim V Brazhkin
- Institute for High Pressure Physics RAS , Kaluzhskoe shosse 14 , Troitsk, 108840 Moscow , Russia
| | - Stanislav O Yurchenko
- Bauman Moscow State Technical University , Second Baumanskaya Street 5 , 105005 Moscow , Russia
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15
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Kryuchkov NP, Mistryukova LA, Brazhkin VV, Yurchenko SO. Excitation spectra in fluids: How to analyze them properly. Sci Rep 2019; 9:10483. [PMID: 31324848 PMCID: PMC6642218 DOI: 10.1038/s41598-019-46979-y] [Citation(s) in RCA: 25] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/08/2019] [Accepted: 07/09/2019] [Indexed: 11/25/2022] Open
Abstract
Although the understanding of excitation spectra in fluids is of great importance, it is still unclear how different methods of spectral analysis agree with each other and which of them is suitable in a wide range of parameters. Here, we show that the problem can be solved using a two-oscillator model to analyze total velocity current spectra, while other considered methods, including analysis of the spectral maxima and single mode analysis, yield rough results and become unsuitable at high temperatures and wavenumbers. To prove this, we perform molecular dynamics (MD) simulations and calculate excitation spectra in Lennard-Jones and inverse-power-law fluids at different temperatures, both in 3D and 2D cases. Then, we analyze relations between thermodynamic and dynamic features of fluids at (Frenkel) crossover from a liquid- to gas-like state and find that they agree with each other in the 3D case and strongly disagree in 2D systems due to enhanced anharmonicity effects. The results provide a significant advance in methods for detail analysis of collective fluid dynamics spanning fields from soft condensed matter to strongly coupled plasmas.
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Affiliation(s)
- Nikita P Kryuchkov
- Bauman Moscow State Technical University, 2nd Baumanskaya street 5, Moscow, 105005, Russia
| | - Lukiya A Mistryukova
- Bauman Moscow State Technical University, 2nd Baumanskaya street 5, Moscow, 105005, Russia
| | - Vadim V Brazhkin
- Institute for High Pressure Physics RAS, Kaluzhskoe shosse, 14, Troitsk, Moscow, 108840, Russia
| | - Stanislav O Yurchenko
- Bauman Moscow State Technical University, 2nd Baumanskaya street 5, Moscow, 105005, Russia.
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16
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Affiliation(s)
- Sergey Khrapak
- Deutsches Zentrum für Luft- und Raumfahrt (DLR), Institut für Materialphysik im Weltraum, Weßling, Germany
- Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow, Russia
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17
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Yoon TJ, Ha MY, Lee WB, Lee YW, Lazar EA. Topological generalization of the rigid-nonrigid transition in soft-sphere and hard-sphere fluids. Phys Rev E 2019; 99:052603. [PMID: 31212432 DOI: 10.1103/physreve.99.052603] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/16/2018] [Indexed: 06/09/2023]
Abstract
A fluid particle changes its dynamics from diffusive to oscillatory as the system density increases up to the melting density. Hence the notion of the Frenkel line was introduced to demarcate the fluid region into rigid and nonrigid liquid subregions based on the collective particle dynamics. In this work, we apply a topological framework to locate the Frenkel lines of the soft-sphere and the hard-sphere models relying on the system configurations. The topological characteristics of the ideal gas and the maximally random jammed state are first analyzed, then the classification scheme designed in our earlier work is applied to soft-sphere and hard-sphere fluids. The dependence of the classification result on the bulk density is understood based on the theory of fluid polyamorphism. The percolation behavior of solid-like clusters is described based on the fraction of solid-like molecules in an integrated manner. The crossover densities are obtained by examining the percolation of solid-like clusters. The resultant crossover densities of soft-sphere fluids converge to that of hard-sphere fluid. Hence the topological method successfully highlights the generality of the Frenkel line.
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Affiliation(s)
- Tae Jun Yoon
- School of Chemical and Biological Engineering, Institute of Chemical Processes, Seoul National University, Seoul 08826, Republic of Korea
| | - Min Young Ha
- School of Chemical and Biological Engineering, Institute of Chemical Processes, Seoul National University, Seoul 08826, Republic of Korea
| | - Won Bo Lee
- School of Chemical and Biological Engineering, Institute of Chemical Processes, Seoul National University, Seoul 08826, Republic of Korea
| | - Youn-Woo Lee
- School of Chemical and Biological Engineering, Institute of Chemical Processes, Seoul National University, Seoul 08826, Republic of Korea
| | - Emanuel A Lazar
- Department of Mathematics, Bar-Ilan University, Ramat Gan 5290002, Israel
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18
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Khrapak SA, Kryuchkov NP, Mistryukova LA, Khrapak AG, Yurchenko SO. Collective modes of two-dimensional classical Coulomb fluids. J Chem Phys 2018; 149:134114. [DOI: 10.1063/1.5050708] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Sergey A. Khrapak
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR), 82234 Weßling, Germany
| | | | | | - Alexey G. Khrapak
- Joint Institute for High Temperatures, Russian Academy of Sciences, 125412 Moscow, Russia
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19
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Abstract
The Frenkel line, a crossover line between rigid and nonrigid dynamics of fluid particles, has recently been the subject of intense debate regarding its relevance as a partitioning line of the supercritical phase, where the main criticism comes from the theoretical treatment of collective particle dynamics. From an independent point of view, this Letter suggests that the two-phase thermodynamics model may alleviate this contentious situation. The model offers new criteria for defining the Frenkel line in the supercritical region and builds a robust connection among the preexisting, seemingly inconsistent definitions. In addition, one of the dynamic criteria locates the rigid-nonrigid transition of the soft-sphere and the hard-sphere models. Hence, we suggest the Frenkel line be considered as a dynamic rigid-nonrigid fluid boundary, without any relation to gas-liquid transition. These findings provide an integrative viewpoint combining fragmentized definitions of the Frenkel line, allowing future studies to be carried out in a more reliable manner.
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Affiliation(s)
- Tae Jun Yoon
- School of Chemical and Biological Engineering, Institute of Chemical Processes , Seoul National University , Seoul 08826 , Republic of Korea
| | - Min Young Ha
- School of Chemical and Biological Engineering, Institute of Chemical Processes , Seoul National University , Seoul 08826 , Republic of Korea
| | - Won Bo Lee
- School of Chemical and Biological Engineering, Institute of Chemical Processes , Seoul National University , Seoul 08826 , Republic of Korea
| | - Youn-Woo Lee
- School of Chemical and Biological Engineering, Institute of Chemical Processes , Seoul National University , Seoul 08826 , Republic of Korea
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20
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Brazhkin VV, Prescher C, Fomin YD, Tsiok EN, Lyapin AG, Ryzhov VN, Prakapenka VB, Stefanski J, Trachenko K, Sapelkin A. Comment on “Behavior of Supercritical Fluids across the ‘Frenkel Line’”. J Phys Chem B 2018; 122:6124-6128. [DOI: 10.1021/acs.jpcb.7b11359] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- V. V. Brazhkin
- Institute for High Pressure Physics, Russian Academy of Sciences, 108840 Troitsk, Moscow, Russia
| | - C. Prescher
- Institut für Geologie und Mineralogie, Universität zu Köln, Cologne 50939, Germany
| | - Yu. D. Fomin
- Institute for High Pressure Physics, Russian Academy of Sciences, 108840 Troitsk, Moscow, Russia
| | - E. N. Tsiok
- Institute for High Pressure Physics, Russian Academy of Sciences, 108840 Troitsk, Moscow, Russia
| | - A. G. Lyapin
- Institute for High Pressure Physics, Russian Academy of Sciences, 108840 Troitsk, Moscow, Russia
| | - V. N. Ryzhov
- Institute for High Pressure Physics, Russian Academy of Sciences, 108840 Troitsk, Moscow, Russia
| | - V. B. Prakapenka
- Consortium for Advanced Radiation Sources, University of Chicago, Chicago, Illinois 60637, United States
| | - J. Stefanski
- Institut für Geologie und Mineralogie, Universität zu Köln, Cologne 50939, Germany
| | - K. Trachenko
- School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom
| | - A. Sapelkin
- School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom
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Bryk T, Gorelli FA, Mryglod I, Ruocco G, Santoro M, Scopigno T. Reply to “Comment on ‘Behavior of Supercritical Fluids across the Frenkel Line’”. J Phys Chem B 2018; 122:6120-6123. [DOI: 10.1021/acs.jpcb.8b01900] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- T. Bryk
- Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Street, UA-79011 Lviv, Ukraine
- Institute of Applied Mathematics and Fundamental Sciences, Lviv Polytechnic National University, UA-79013 Lviv, Ukraine
| | - F. A. Gorelli
- Istituto Nazionale di Ottica INO-CNR, I-50019 Sesto Fiorentino, Italy
- European Laboratory for Non Linear Spectroscopy, LENS, I-50019 Sesto Fiorentino, Italy
| | - I. Mryglod
- Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Street, UA-79011 Lviv, Ukraine
| | - G. Ruocco
- Center for Life Nano Science @Sapienza, Istituto Italiano di Tecnologia, 295 Viale Regina Elena, I-00161 Roma, Italy
- Dipartimento di Fisica, Universita di Roma La Sapienza, I-00185 Roma, Italy
| | - M. Santoro
- Istituto Nazionale di Ottica INO-CNR, I-50019 Sesto Fiorentino, Italy
- European Laboratory for Non Linear Spectroscopy, LENS, I-50019 Sesto Fiorentino, Italy
| | - T. Scopigno
- Center for Life Nano Science @Sapienza, Istituto Italiano di Tecnologia, 295 Viale Regina Elena, I-00161 Roma, Italy
- Dipartimento di Fisica, Universita di Roma La Sapienza, I-00185 Roma, Italy
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Yurchenko SO, Komarov KA, Kryuchkov NP, Zaytsev KI, Brazhkin VV. Bizarre behavior of heat capacity in crystals due to interplay between two types of anharmonicities. J Chem Phys 2018; 148:134508. [DOI: 10.1063/1.5022969] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Stanislav O. Yurchenko
- Bauman Moscow State Technical University, 2nd Baumanskaya Street 5, Moscow 105005, Russia
| | - Kirill A. Komarov
- Bauman Moscow State Technical University, 2nd Baumanskaya Street 5, Moscow 105005, Russia
| | - Nikita P. Kryuchkov
- Bauman Moscow State Technical University, 2nd Baumanskaya Street 5, Moscow 105005, Russia
| | - Kirill I. Zaytsev
- Bauman Moscow State Technical University, 2nd Baumanskaya Street 5, Moscow 105005, Russia
| | - Vadim V. Brazhkin
- Institute for High Pressure Physics RAS, Kaluzhskoe Shosse, 14, Troitsk, Moscow 108840, Russia
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Fomin YD, Ryzhov VN, Tsiok EN, Proctor JE, Prescher C, Prakapenka VB, Trachenko K, Brazhkin VV. Dynamics, thermodynamics and structure of liquids and supercritical fluids: crossover at the Frenkel line. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:134003. [PMID: 29443011 DOI: 10.1088/1361-648x/aaaf39] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
We review recent work aimed at understanding dynamical and thermodynamic properties of liquids and supercritical fluids. The focus of our discussion is on solid-like transverse collective modes, whose evolution in the supercritical fluids enables one to discuss the main properties of the Frenkel line separating rigid liquid-like and non-rigid gas-like supercritical states. We subsequently present recent experimental evidence of the Frenkel line showing that structural and dynamical crossovers are seen at a pressure and temperature corresponding to the line as predicted by theory and modelling. Finally, we link dynamical and thermodynamic properties of liquids and supercritical fluids by the new calculation of liquid energy governed by the evolution of solid-like transverse modes. The disappearance of those modes at high temperature results in the observed decrease of heat capacity.
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Affiliation(s)
- Yu D Fomin
- Institute for High Pressure Physics, Russian Academy of Sciences, Troitsk 108840, Moscow, Russia
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Khrapak SA, Kryuchkov NP, Yurchenko SO. Thermodynamics and dynamics of two-dimensional systems with dipolelike repulsive interactions. Phys Rev E 2018; 97:022616. [PMID: 29548185 DOI: 10.1103/physreve.97.022616] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/30/2017] [Indexed: 06/08/2023]
Abstract
Thermodynamics and dynamics of a classical two-dimensional system with dipolelike isotropic repulsive interactions are studied systematically using extensive molecular dynamics (MD) simulations supplemented by appropriate theoretical approximations. This interaction potential, which decays as an inverse cube of the interparticle distance, belongs to the class of very soft long-ranged interactions. As a result, the investigated system exhibits certain universal properties that are also shared by other related soft-interacting particle systems (like, for instance, the one-component plasma and weakly screened Coulomb systems). These universalities are explored in this article to construct a simple and reliable description of the system thermodynamics. In particular, Helmholtz free energies of the fluid and solid phases are derived, from which the location of the fluid-solid coexistence is determined. The quasicrystalline approximation is applied to the description of collective modes in dipole fluids. Its simplification, previously validated on strongly coupled plasma fluids, is used to derive explicit analytic dispersion relations for the longitudinal and transverse wave modes, which compare satisfactory with those obtained from direct MD simulations in the long-wavelength regime. Sound velocities of the dipole fluids and solids are derived and analyzed.
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Affiliation(s)
- Sergey A Khrapak
- Aix Marseille University, CNRS, PIIM, 13397 Marseille, France
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR), 82234 Weßling, Germany
- Joint Institute for High Temperatures, Russian Academy of Sciences, 125412 Moscow, Russia
| | - Nikita P Kryuchkov
- Bauman Moscow State Technical University, 2nd Baumanskaya street 5, 105005 Moscow, Russia
| | - Stanislav O Yurchenko
- Bauman Moscow State Technical University, 2nd Baumanskaya street 5, 105005 Moscow, Russia
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Bryk T, Gorelli FA, Mryglod I, Ruocco G, Santoro M, Scopigno T. Behavior of Supercritical Fluids across the "Frenkel Line". J Phys Chem Lett 2017; 8:4995-5001. [PMID: 28945381 DOI: 10.1021/acs.jpclett.7b02176] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
The "Frenkel line" (FL), the thermodynamic locus where the time for a particle to move by its size equals the shortest transverse oscillation period, has been proposed as a boundary between recently discovered liquid-like and gas-like regions in supercritical fluids. We report a simulation study of isothermal supercritical neon in a range of densities intersecting the FL. Specifically, structural properties and single-particle and collective dynamics are scrutinized to unveil the onset of any anomalous behavior at the FL. We find that (i) the pair distribution function smoothly evolves across the FL displaying medium-range order, (ii) low-frequency transverse excitations are observed below the "Frenkel frequency", and (iii) the high-frequency shear modulus does not vanish even for low-density fluids, indicating that positive sound dispersion characterizing the liquid-like region of the supercritical state is unrelated to transverse dynamics. These facts critically undermine the definition of the FL and its significance for any relevant partition of the supercritical phase.
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Affiliation(s)
- T Bryk
- Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine , 1 Svientsitskii Street, UA-79011 Lviv, Ukraine
- Institute of Applied Mathematics and Fundamental Sciences, Lviv Polytechnic National University , UA-79013 Lviv, Ukraine
| | - F A Gorelli
- Istituto Nazionale di Ottica INO-CNR , I-50019 Sesto Fiorentino, Italy
- European Laboratory for Non Linear Spectroscopy, LENS , I-50019 Sesto Fiorentino, Italy
| | - I Mryglod
- Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine , 1 Svientsitskii Street, UA-79011 Lviv, Ukraine
| | - G Ruocco
- Dipartimento di Fisica, Universita di Roma La Sapienza , I-00185 Roma, Italy
- Center for Life Nano Science @Sapienza, Istituto Italiano di Tecnologia , 295 Viale Regina Elena, I-00161 Roma, Italy
| | - M Santoro
- Istituto Nazionale di Ottica INO-CNR , I-50019 Sesto Fiorentino, Italy
- European Laboratory for Non Linear Spectroscopy, LENS , I-50019 Sesto Fiorentino, Italy
| | - T Scopigno
- Dipartimento di Fisica, Universita di Roma La Sapienza , I-00185 Roma, Italy
- Center for Life Nano Science @Sapienza, Istituto Italiano di Tecnologia , 295 Viale Regina Elena, I-00161 Roma, Italy
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