The Wide-Range Method to Construct the Entire Coexistence Liquid–Gas Curve and to Determine the Critical Parameters of Metals

Apfelbaum, E. M.; Воробьев, В. С.

doi:10.1021/acs.jpcb.5b06336

Cited by 36 publications

(33 citation statements)

References 37 publications

(110 reference statements)

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“…Besides the thermodynamical values the electrical conductivity has been measured by this technique. We should note that shock-wave data [3][4][5] are presented at relatively high densities, more than the critical one (the critical point density estimates for Iron are ρ c ∼ 2 g/cm 3 [12]). The achieved temperature in the shock-wave experiments is estimated as T > 30 kK.…”

Section: Introductionmentioning

confidence: 97%

The Thermophysical Properties of Iron Plasma

Apfelbaum

2016

Contrib. Plasma Phys.

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The pressure, internal energy, conductivity, thermal conductivity and thermal power of Iron plasma have been calculated at temperatures 10 -100 kK and densities less than 2 g/cm 3 . The plasma composition has been obtained by means of corresponding system of coupled mass action laws. We have considered the atom ionization up to +6. The transport coefficients have been obtained within the relaxation time approximation. The comparison of our results with available measurement and calculation data has shown very good agreement for the pressure and less good agreement for the conductivity.

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Section: Introductionmentioning

confidence: 97%

The Thermophysical Properties of Iron Plasma

Apfelbaum

2016

Contrib. Plasma Phys.

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“…The critical parameter values in the table are shown in decreasing order of Tcr. Among them are estimates obtained: on the basis of similarity relations [17,21,24]; derived from the semi-empirical equation of state [20,22,23]; using the concept of "cohesive energy" [18]; as a result of numerical simulation with Morse potential [31]; the potential of an embedded atom method [29]. The table also presents the results of calculating the relative deviation of the critical parameters obtained in this work from these results Table 1.…”

Section: Comparison Of the Results With The Theoretical Predictionsmentioning

confidence: 98%

“…Due to the difficulty of conducting experiments at high temperatures, the critical point and binodal parameters were obtained only for a small amount of substances, which include alkali metals and mercury, which have relatively low temperature characteristics [6][7][8][9][10][11]. For other materials, there are only theoretical estimates within the framework of various models, among which phenomenological methods [12][13][14][15][16][17][18][19][20][21][22][23][24] and atomistic modeling methods [25][26][27][28][29][30][31] stand out.…”

Section: Introductionmentioning

confidence: 99%

Atomistic modeling of the critical region of copper using a liquid-vapor coexistence curve

Demin¹,

Koroleva²,

Shapranov³

et al. 2019

MathMon

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A liquidvapor coexistence curve was obtained for copper by the method of molecular dynamics modeling (MDM), and the corresponding critical parameters were determined: temperature, density, and pressure. The interaction potential of particles was of the "embedded atom" type (EAM). The critical temperature T cr was determined from the MDM results using the average cluster size method in the critical region. To clarify the critical density value, the empirical rule of rectilinear diameter was used. The results of modeling of this work were compared with the results of evaluating of the critical parameters of copper by other authors using different approaches.

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“…should be obtained [23][24][25]. It was used by many authors [24][25][26][27][28][29] for CP-predictions. The construction of Zeno-line covers continuously the whole f-range between two asymptotic Boyle's points ( ) [23] is based on the Boyle's condition accepted for the modeldependent second virial coefficient: ( ) 0 B B T = chosen for (N,V)-system.…”

Section: Lmentioning

confidence: 99%

Classic origin of mesoscopic critical and boyle’s singularities simulated by fluctuational potential

Роганков¹,

Rogankov²,

Швець³

2020

ФАС

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Classic origin of mesoscopic critical and boyle's singularities simulated by fluctuational potential We have used the developed recently methodology of the congruent vapor-liquid (CVL) diagram for prediction, in particular, of the entire vapor-liquid equilibrium (VLE) diagram in the test-fluid argon. The former is based on the proposed earlier principle of the global fluid asymmetry (GFA) which rejects the conventional concept of a unified fluid equation of state (EOS) in both sub-and supercritical regions. In contrast to the traditional VLE-locus applicable in the restricted (subcritical) range between critical (c T) and triple (t T) temperatures, the CVL-locus spans the much more wide ranges of fluid states located between the generalized Boyle's (B) points (0, FT B T ρ → ], (0, FT B T → ρ ] predicted by FT-model of fluctuational thermodynamics. The new shape, location and the opposite sign of curvature for the boundary of metastable liquid which does not pass over CP (critical point) have been revealed in the global fluid (f) temperature range (0, FT B T) including its supercritical segment. The classical GFA-origin of the asymptotic criticality is unambiguously established without any appeals to the non-classical scaling phenomenology but in accordance with its main findings, at least, in the regions of stable and metastable liquid. Since the fundamental concept of a homogeneous equilibrium Gibbsian phase achieves the limit of its applicability in the simulated discrete N,V-systems of the Lennard-Jones' particles, their metastable, at best, states are highlyprobable in the conventional scales of VLE-simulation.

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The Wide-Range Method to Construct the Entire Coexistence Liquid–Gas Curve and to Determine the Critical Parameters of Metals

Cited by 36 publications

References 37 publications

The Thermophysical Properties of Iron Plasma

The Thermophysical Properties of Iron Plasma

Atomistic modeling of the critical region of copper using a liquid-vapor coexistence curve

Classic origin of mesoscopic critical and boyle’s singularities simulated by fluctuational potential

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