Probability distribution for a hard liquid

Maslov, V. P.

doi:10.1134/s0001434615050259

Cited by 4 publications

(5 citation statements)

References 12 publications

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“…Substituting the obtained relation N(a) in formula (17), we can find the dependence E(a), and with it the pressure P (a), by using the relation E = (γ + 1)P V .…”

Section: Resultsmentioning

confidence: 99%

“…This corresponds to the passage from negative pressures to positive ones. This picture naturally arises in the Van-der-Waals formulas [17]- [18]. Thus, the Bose particles and the Fermi particles are positioned in different parts of the -P,Z-diagram of Hougen and Watson (in it, P is the pressure, Z = P V /NT is the compressibility factor, V , the volume, N, the number of particles, T , the temperature): the Bose particles are in the positive domain, while the Fermi particles are in the negative one.…”

Section: A Bose Statistics Fermi Statistics In Hougen-watson Diagrams...mentioning

confidence: 96%

“…Figure 1 shows the dependence of the compressibility factor on the pressure P , expressed in the units MeV/fm 3 for argon-40, copper-65, molybdenum-100. The dashed lines are the isotherms of the Bose branch constructed by means of formulas ( 16)- (17). The temperature is equal to the extremal value of the separation energy of the neutron B nExp , indicated in table 1.…”

Section: Dependence Of the Chemical Potential On The Temperature Cons...mentioning

confidence: 99%

“…The continuous line represents the line Z = 1. The hashed lines show isotherms of the Bose branch, constructed according to formulas (16)-(17). The temperature is equal to the energy needed for the separation of the neutron B nExp (see Table1).…”

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Thermodynamic Concept of Neutron Separation Energy

Maslov

2018

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In the paper, we propose a new approach to the mathematical description of the separation of a neutron from the atom's nucleus on the basis of the formalisms of tropical mathematics and nonstandard analysis. In studying the behavior of individual nucleons of the atom's nucleus, instead of the ordinary approach involving the Einstein formula relating mass and energy, we use the thermodynamical approach to the disintegration of the nucleus. This approach allows to obtain a previously unknown general expression for the energy needed to separate a neutron from its atom's nucleus, provided we know the de Broglie wavelength and the volume of the nucleus.

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“…Substituting the obtained relation N(a) in formula (17), we can find the dependence E(a), and with it the pressure P (a), by using the relation E = (γ + 1)P V .…”

Section: Resultsmentioning

confidence: 99%

Section: A Bose Statistics Fermi Statistics In Hougen-watson Diagrams...mentioning

confidence: 96%

Section: Dependence Of the Chemical Potential On The Temperature Cons...mentioning

confidence: 99%

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confidence: 99%

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Thermodynamic Concept of Neutron Separation Energy

Maslov

2018

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“…This corresponds to the transition from negative pressures to positive pressures. In the van der Waals formulas [44], [45], such a picture is rather natural. Thus, the fermions and bosons are located in different quarter on the Hougen-Watson PZ-diagram (P is the pressure, Z = P V /(NT ) is the compressibility factor, where V is the volume, N is the number of particles, and T is the temperature): the bosons are in the negative domain and the fermions are in the positive domain.…”

Section: A Bose Statistics and Fermi Statistics In The Hougen-watson ...mentioning

confidence: 99%

Thermodynamics as a multistep relaxation process and the role of observables in different scales of quantities

Maslov¹

2013

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In the first part of the paper, we introduce the concept of observable quantities associated with a macroinstrument measuring the density and temperature and with a microinstrument determining the radius of a molecule and its free path length, and also the relationship between these observable quantities. The concept of the number of degrees of freedom, which relates the observable quantities listed above, is generalized to the case of low temperatures. An analogy between the creation and annihilation operators for pairs (dimers) and the creation and annihilation operators for particles (molecules) is carried out. A generalization of the concept of a Bose condensate is introduced for classical molecules as an analog of an ideal liquid (without attraction). The negative pressure in the liquid is treated as holes (of exciton type) in the density of the Bose condensate. The phase transition gas-liquid is calculated for an ideal gas (without attraction). A comparison with experimental data is carried out.In the other part of the paper, we introduce the concept of new observable quantity, namely, of a pair (a dimer), as a result of attraction between the nearest neighbors. We treat in a new way the concepts of Boyle temperature T B (as the temperature above which the dimers disappear) and of the critical temperature T c (below which the trimers and clusters are formed). The equation for the Zeno line is interpreted as the relation describing the dependence of the temperature on the density at which the dimers disappear. We calculate the maximal density of the liquid and also the maximal density of the holes. The law of corresponding states is derived as a result of an observation by a macrodevice which cannot distinguish between molecules of distinct gases, and a comparison of theoretical and experimental data is carried out. In this paper, the observations in three scales, macro, micro, and nano, are studied.

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