Existence and Uniqueness of Solution for Abstract Differential Equations with State-Dependent Time Impulses
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DOI: 10.1007/s00009-019-1308-z
Abstract: We study the existence and uniqueness of mild and classical solutions for abstract impulsive differential equations with state-dependent time impulses and an example is presented. read more here.
Keywords: state dependent; equations state; dependent time; differential equations ... See more keywords
Diffusive and dynamical radiating stars with realistic equations of state
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DOI: 10.1007/s10714-017-2202-2
Abstract: We model the dynamics of a spherically symmetric radiating dynamical star with three spacetime regions. The local internal atmosphere is a two-component system consisting of standard pressure-free, null radiation and an additional string fluid with… read more here.
Keywords: state; equations state; diffusive dynamical; state diffusive ... See more keywords
A Review of the Alpha Functions of Cubic Equations of State for Different Research Systems
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DOI: 10.1007/s10765-019-2567-4
Abstract: Alpha functions affect the predictive accuracy of cubic equations of state for the thermodynamic properties. The alpha functions usually aimed at predicting the specific compounds. This article reviewed various alpha functions for the prediction of… read more here.
Keywords: cubic equations; temperature; equations state; polar compounds ... See more keywords
Equations of State to Describe Isothermal Compression of Certain Molecular Nitro Compound Crystals
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DOI: 10.1007/s10891-020-02112-9
Abstract: An approach to constructing semiempirical equations of state of molecular crystals of nitro compounds is suggested allowing one to describe isothermal compression of the crystal of triaminotrinitrobenzene (1,3,5-triamino-2,4,6- trinitrobenzene) by the familiar modulus of three-dimensional… read more here.
Keywords: compression; isothermal compression; describe isothermal; equations state ... See more keywords
Analysis of equations of state as applied to thermoelastic properties of C60 crystalline solid
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DOI: 10.1007/s12648-020-01686-7
Abstract: In the present paper, an attempt has been made for the comparative study of different equations of state and investigated the thermodynamic and thermoelastic properties for C 60 crystalline solid. We have fitted the experimental… read more here.
Keywords: crystalline solid; temperature; equations state; thermoelastic properties ... See more keywords
Cubic equations of state extended to confined fluids: New mixing rules and extension to spherical pores
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DOI: 10.1016/j.ces.2018.03.047
Abstract: Abstract The thermodynamic behavior of fluids confined in nanopores is highly influenced by the interaction between fluid molecules and pore walls. The most accurate approaches for modeling confined fluids are too computationally demanding for practical… read more here.
Keywords: cubic equations; spherical pores; equations state; confined fluids ... See more keywords
Phase transition and thermal equations of state of (Fe,Al)-bridgmanite and post-perovskite: Implication for the chemical heterogeneity at the lowermost mantle
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DOI: 10.1016/j.epsl.2018.03.004
Abstract: Abstract In this study, we have determined the phase boundary between Mg0.735Fe0.21Al0.07Si0.965O3-Bm and PPv and the thermal equations of state of both phases up to 202 GPa and 2600 K using synchrotron X-ray diffraction in… read more here.
Keywords: phase; transition; equations state; lowermost mantle ... See more keywords
A comprehensive description of single-phase and VLE properties of cryogenic fluids using molecular-based equations of state
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DOI: 10.1016/j.fluid.2019.04.038
Abstract: Abstract A complete description of fluid-phase thermodynamic properties at cryogenic conditions undoubtedly presents a serious challenge for equations of state (EOSs). This work is focused on comparing the capabilities of two Statistical Associating Fluid Theory-based… read more here.
Keywords: equations state; cryogenic fluids; properties cryogenic; phase ... See more keywords
Effective Hamiltonians and empirical fluid equations of state
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DOI: 10.1016/j.fluid.2019.05.014
Abstract: Abstract Hamiltonians with explicit temperature and density dependence are employed in classical and quantized partition functions to derive caloric and thermal equations of state (EoS) for real gases and liquids. To define a fluid equilibrium… read more here.
Keywords: high density; equations state; density; pressure ... See more keywords
Prediction of isochoric heat capacity: Discrete versus continuous potentials
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DOI: 10.1016/j.fluid.2019.112380
Abstract: Abstract Prediction of derivative properties, such as the isochoric heat capacity, remains a real challenge for equations of state. Molecular-based equations of state are derived through a set of approximations, e. g., perturbation theory. The… read more here.
Keywords: heat; heat capacity; isochoric heat; equations state ... See more keywords
Search for the optimal expression of the volumetric dependence of the attractive contribution in cubic equations of state
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DOI: 10.1016/j.fluid.2020.112750
Abstract: Abstract The 2nd degree polynomial volume function ( v 2 + u b v + w b 2 ), involved in the attractive term of cubic equations of state, has a strong influence on the… read more here.
Keywords: cubic equations; expression volumetric; equations state; optimal expression ... See more keywords