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An extended Designed regression analysis of experimental data on density and refractive indices of several classes of ionic liquids yielded statistically averaged atomic volumes and polarizabilities of the constituting atoms. These values…

We obtain the exact generalised hydrodynamics for the integrable Toda system. The Toda system can be seen in a dual way, both as a gas and as a chain. In the gas point of view, using the elastic and factorised scattering of Toda particles,…

Statistical Mechanics · Physics 2019-08-20 Benjamin Doyon

The motion of an electron in an image field and a blocking electric field is considered in semiclassical approximation. An exact analytical expression is found for the density of the energy spectrum of states. The dependence of spectral…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 P. A. Golovinski , M. A. Preobrazhenskii , I. S. Surovtzev

Although carbon monoxide (CO) is an abundant molecule and may have great importance for planetary interiors, measurements of its properties are difficult due to its extreme volatility. We calculate the equation of state for CO over a range…

Earth and Planetary Astrophysics · Physics 2023-01-25 Morris Podolak , Amit Levi , Allona Vazan , Uri Malamud

This paper presents a theoretical calculation of the vacuum energy density by summing the contributions of all quantum fields vacuum states which turns out to indicate that there seems to be a missing bosonic contribution in order to match…

General Physics · Physics 2021-05-03 Siamak Tafazoli

The linearization around one of its equilibrium of a system that describes the correlations between the superfluid component and the normal fluid part of a condensed Bose gas in the approximation of very low temperature and small condensate…

Analysis of PDEs · Mathematics 2021-12-28 Miguel Escobedo

A new modeling way of describing the continuous absorption of electromagnetic (EM) radiation in dense partially ionized hydrogen plasma is tested in this work. It is shown that the obtained results give a possibility of calculating spectral…

Solar and Stellar Astrophysics · Physics 2012-08-14 A. A. Mihajlov , N M Sakan , V. A. Sreckovic , Y. Vitel

By performing an ensemble of molecular dynamics simulations, the model-dependent ionisation state is computed for strongly interacting systems self-consistently. This is accomplished through a free energy minimisation framework based on the…

A family of m independent identically distributed random variables indexed by a chemical potential \phi\in[0,\gamma] represents piles of particles. As \phi increases to \gamma, the mean number of particles per site converges to a maximal…

Probability · Mathematics 2007-09-02 Pablo A. Ferrari , Claudio Landim , Valentin V. Sisko

We study a dilute Bose gas of atoms whose scattering length a is large compared to the range of their interaction. We calculate the energy density of the homogeneous Bose-Einstein condensate to second order in the low-density expansion,…

Condensed Matter · Physics 2009-11-07 Eric Braaten , H. -W. Hammer , Thomas Mehen

The steady-state approximation (hereafter abbreviated as SSA) consists in setting $dy/dt=0$, where $y$ denotes the concentration of a short-lived intermediate subject to first-order decay with a rate constant $k$. The sole reason for…

General Physics · Physics 2017-05-26 K. Razi Naqvi

A completely new approach to the problem of energy distribution in statistical mechanics is developed that results in a general, combinatorial formula for the density of states. Relying on the approach the energy equipartition principle is…

Statistical Mechanics · Physics 2012-05-22 Agata Fronczak

Our exact theory for continuous harmonic perturbation of a one dimensional model atom by parametric variations of its potential is generalized for the cases when a) the atom is exposed to short pulses of an external harmonic electric field…

Atomic and Molecular Clusters · Physics 2016-11-03 Alexander Rokhlenko

The new generalized kinetic equation is offered. This equation represents a hybrid Shakhov's equation and ellipsoidal statistical Holway's equation. Equation constants are expressed through such physically significant quantities, as…

Fluid Dynamics · Physics 2014-01-21 A. V. Latyshev , A. A. Yushkanov

We present a code for modelling the ionization conditions of optically thin astrophysical gas structures. Given the gas hydrogen density, equilibrium temperature, elemental abundances, and the ionizing spectrum, the code solves the…

Astrophysics of Galaxies · Physics 2014-09-04 Christopher W. Churchill , Elizabeth Klimek , Amber Medina , Jacob R. Vander Vliet

A collective description of density matrix is presented for identical multi-level atoms, which are either excited initially, driven coherently or pumped incoherently. The density matrix is defined as expectation value of projection or…

Quantum Physics · Physics 2019-12-17 Yuan Zhang

The mean ionization state (MIS) is a critical property in dense plasma and warm dense matter research, for example as an input to hydrodynamics simulations and Monte-Carlo simulations. Unfortunately, however, the best way to compute the MIS…

Plasma Physics · Physics 2023-02-16 Timothy J. Callow , Eli Kraisler , Attila Cangi

The cosmic-ray ionization rate ($\zeta$, s$^{-1}$) plays an important role in the interstellar medium. It controls ion-molecular chemistry and provides a source of heating. Here we perform a grid of calculations using the spectral synthesis…

Astrophysics of Galaxies · Physics 2021-01-13 Gargi Shaw , G. J. Ferland

Reliably interpreting spectra from electron-ionized cosmic plasmas requires accurate ionization balance calculations for the plasma in question. However, much of the atomic data needed for these calculations have not been generated using…

Astrophysics · Physics 2009-11-11 P. Bryans , N. R. Badnell , T. W. Gorczyca , J. M. Laming , W. Mitthumsiri , D. W. Savin

The evaluation of the sub-saturation nuclear equation of state at finite temperature requires a proper state counting of the internal partition sum of nuclei which are immersed in the background of their continuum states. This classical…

Nuclear Theory · Physics 2021-01-20 S. Mallik , F. Gulminelli