Pseudo-Grüneisen parameter for liquid argon

Kor, S. K.; Tandon, U. S.; Singh, Budhendra

doi:10.1016/0375-9601(72)90470-7

Physics Letters A

1972

DOI: 10.1016/0375-9601(72)90470-7

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Pseudo-Grüneisen parameter for liquid argon

S. K. Kor

U. S. Tandon

Budhendra Singh

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Cited by 17 publications

(3 citation statements)

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“…Thus, the melting curve for argon coincides, to a high accuracy, with that for a soft sphere system with n = 12.7 [15]. Rare gas solids and fluids also have typical values of the Gruneisen parameter γ ∼ 2.3 − 2.6 [13,16]. Thus, the van-der-Waals fluid near the critical point has the Gruneisen parameter values close to those for real rare gas fluids.…”

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confidence: 54%

“…The Batschinski line [10], sometimes referred to as the Zeno line [11,12], corresponds to a formal coincidence between the equation of state for a fluid and the equation of state for an ideal gas.For solids, an important thermodynamic parameter is the Gruneisen parameter which reflects the variation of the lattice dynamics under a change of density. For a fluid, one can introduce a pseudo-Gruneisen parameter [13], relating such thermodynamic quantities as the heat capacity C v , thermal expansion coefficient α P and compressibility coefficient β T :It is of great interest to analyze the behavior of "special" lines in a fluid and the pseudo-Gruneisen parameter in the framework of a simple, exactly solvable model. In the present study we have analyzed the properties of a van-der-Waals fluid.…”

mentioning

confidence: 99%

“…For solids, an important thermodynamic parameter is the Gruneisen parameter which reflects the variation of the lattice dynamics under a change of density. For a fluid, one can introduce a pseudo-Gruneisen parameter [13], relating such thermodynamic quantities as the heat capacity C v , thermal expansion coefficient α P and compressibility coefficient β T :…”

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Van der Waals supercritical fluid: Exact formulas for special lines

Бражкин

Ryzhov

2011

The Journal of Chemical Physics

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In the framework of the van-der-Waals model, analytical expressions for the locus of extrema (ridges) for heat capacity, thermal expansion coefficient, compressibility, density fluctuation, and sound velocity in the supercritical region have been obtained. It was found that the ridges for different thermodynamic values virtually merge into single Widom line only at T < 1.07Tc, P < 1.25Pc and become smeared at T < 2Tc, P < 5Pc, where Tc and Pc are the critical temperature and pressure. The behavior of the Batschinski lines and the pseudo-Gruneisen parameter γ of a van-derWaals fluid were analyzed. In the critical point, the van-der-Waals fluid has γ = 8/3, corresponding to a soft sphere particle system with exponent n = 14.PACS numbers: 64.10.+h, 65.20.De A liquid-gas phase equilibrium curve onto the T, Pplane ends at the critical point. At pressures and temperatures above critical ones (P > P c , T > T c ), the properties of a substance in the isotherms and isobars vary continuously, and it is commonly said that the substance is in its supercritical fluid state, where there is no difference between a liquid and a gas. An anomalous behavior of the majority of characteristics are observed in the vicinity of the critical point. The correlation length for thermodynamic fluctuations diverges at the critical point [1]; one can also observe a critical behavior of the compressibility coefficient β T , thermal expansion coefficient α P , and heat capacity C p : the given properties pass through their maxima under a change of pressure or temperature. Near the critical point, the positions of the maxima of these values in the T, P -plane are close to each other [1]. The same is true for the value of density fluctuations, the speed of sound, thermal conductivity, etc. Thus, in the supercritical region, there is a whole set of the lines of extrema of various thermodynamic values. Each of these lines can be regarded as a "thermodynamical" continuation of the liquid-gas phase equilibrium curve into the supercritical region. The smearing and decreasing (in magnitude) extrema of each of the values form a "ridge" [2][3][4]. A knowledge of the positions of the above "ridges" in the T, P -plane is very important; in particular, it determines a maximum value for such technologically essential characteristics as the dissolving ability of a supercritical fluid, the rate of chemical reactions in a fluid, and others ([2-4] and refs therein). It turned out that the experimentally observed lines of the "ridges" are close to an isochores with a slight decrease in density with increasing temperature [2][3][4]. Most studies on the supercritical region focused on examining the "ridge" for the density fluctuations [2].G. Stanley suggested the name "Widom line" for the line of the maximum of the correlation length isotherms and isobars [5]. Since the lines of the maxima near the critical point merge into one line, the above term was proposed to be used in a wider sense -in reference to the lines of the maxima of all values determined by the ...

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confidence: 54%

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confidence: 99%

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Van der Waals supercritical fluid: Exact formulas for special lines

Бражкин

Ryzhov

2011

The Journal of Chemical Physics

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Compression Study of Higher Alkanes Through Pseudo‐Grüneisen Parameters

Pandey

1974

Physica Status Solidi (b)

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A Simple Expression for the Gruneisen Parameter and Its Relation with Rao' s Rule

Sharma

1980

Physica Status Solidi (b)

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The concept of a constant relating thermal and mechanical properties was first proposed by Griineisen /1/ for solids. In the quasi-harmonic model of lattice dynamics the change of anharmonicity in lattice vibration frequency Rao' s acoustical parameter (K) of a liquid is an important quantity as it is related to the C1 parameter and the Gruneisen parameter. The acoustic parameter can be expressed as /15/ where u is the bulk sound velocity in liquid.1) Bhubaneswar 751007, India.

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Pseudo-Grüneisen parameter for liquid argon

Cited by 17 publications

References 8 publications

Van der Waals supercritical fluid: Exact formulas for special lines

Van der Waals supercritical fluid: Exact formulas for special lines

Compression Study of Higher Alkanes Through Pseudo‐Grüneisen Parameters

A Simple Expression for the Gruneisen Parameter and Its Relation with Rao' s Rule

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