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We propose a simple two-step approximation for the radial distribution function of a one-component two-dimensional Yukawa fluid. This approximation is specified by the key parameters of the system: coupling parameter and screening…

Statistical Mechanics · Physics 2023-03-06 Ilnaz I. Fairushin , Anatolii V. Mokshin

The equations of motion of lossless compressible nonclassical fluids under the so-called Green--Naghdi theory are considered for two classes of barotropic fluids: (\textit{i}) perfect gases and (\textit{ii}) liquids obeying a quadratic…

Fluid Dynamics · Physics 2016-08-25 Ivan C. Christov

In Ref. [1], exact (not only conformally related) analogue models for the Schwarzschild and Reissner-Nordstr\"om spacetimes were found. The background non-relativistic fluid flow was sustained by an external body force which is not affected…

General Relativity and Quantum Cosmology · Physics 2022-12-19 João Paulo M. Pitelli , Ricardo A. Mosna , Christyan C. de Oliveira , Maurício Richartz

The outcome of this paper was a shape of the interaction of two oscillating bubbles. This was done to express the secondary Bjerknes force using the Maxwell equations for a liquid. These subsequent equations were written for the quantities…

General Physics · Physics 2024-03-20 Ion Simaciu , Gheorghe Dumitrescu , Zoltan Borsos , Viorel Drafta

This work aims at identifying and quantifying uncertainties related to elastic and viscoelastic parameters, which characterize the arterial wall behavior, in one-dimensional modeling of the human arterial hemodynamics. The chosen uncertain…

Fluid Dynamics · Physics 2021-02-12 Giulia Bertaglia , Valerio Caleffi , Lorenzo Pareschi , Alessandro Valiani

Analytical expressions are derived for the time-averaged, quasi-steady, acoustic radiation force on a heated, spherical, elastic, solid microparticle suspended in a fluid and located in an axisymmetric incident acoustic wave. The heating is…

Fluid Dynamics · Physics 2025-10-30 Henrik Bruus , Bjørn G. Winckelmann

The article discusses methods for measuring the speed of sound, scattering, attenuation and absorption of sound in liquids, on the basis of which the structural diagrams of modern devices have been developed. In real conditions, acoustic…

Audio and Speech Processing · Electrical Eng. & Systems 2023-12-15 A. N. Grekov , N. A. Grekov , E. N. Sychev

The importance of ultrasound is well established in the imaging of human tissue. In order to enhance image quality by exploiting nonlinear effects, recently techniques such as harmonic imaging and nonlinearity parameter tomography have been…

Analysis of PDEs · Mathematics 2025-02-13 Barbara Kaltenbacher

The nonlinear inviscid 1D blood flow equations are studied analytically using the method of characteristics. The boundary value problem with a triangle-shaped boundary data at the aortic outlet is considered. The pressure-velocity profile,…

Computational Physics · Physics 2019-01-10 Oleg Ilyin

A model for an expanding noncommutative acoustic fluid analogous to a Friedmann-Robertson-Walker geometry is derived. For this purpose, a noncommutative Abelian Higgs model is considered in a (3+1)-dimensional spacetime. In this scenario,…

High Energy Physics - Theory · Physics 2021-06-30 M. A. Anacleto , C. H. G. Bessa , F. A. Brito , E. J. B. Ferreira , E. Passos

The renowned van der Waals (VDW) state equation quantifies the equilibrium relationship between pressure $P$, volume $V$ and temperature $k_{B}T$ of a real gas. We assign new variable interpretations adapted to the economic context: $P…

Adaptation and Self-Organizing Systems · Physics 2024-04-12 Max-Olivier Hongler , Olivier Gallay , Fariba Hashemi

Perturbations in a Chaplygin gas, characterized by an equation of state $p = -A/\rho$, may acquire non-adiabatic contributions if spatial variations of the parameter $A$ are admitted. This feature is shown to be related to a specific…

General Relativity and Quantum Cosmology · Physics 2007-05-23 W. Zimdahl , J. C. Fabris

We use hydrodynamics to investigate non-stationary channel flows of freely cooling dilute granular gases. We focus on the regime where the sound travel time through the channel is much shorter than the characteristic cooling time of the…

Soft Condensed Matter · Physics 2009-11-13 Baruch Meerson , Itzhak Fouxon , Arkady Vilenkin

We derive the hydrodynamic equations for the supersolid and superhexatic phases of a neutral two-dimensional Bose fluid. We find, assuming that the normal part of the fluid is clamped to an underlying substrate, that both phases can sustain…

Condensed Matter · Physics 2009-10-28 H. T. C. Stoof , K. Mullen , M. Wallin , S. M. Girvin

We consider thermodynamics of the van der Waals fluid of quantum systems. We derive general relations of thermodynamic functions and parameters of any ideal gas and the corresponding van der Waals fluid. This provides unambiguous…

Quantum Gases · Physics 2016-08-24 Krzysztof Redlich , Kacper Zalewski

Recent advances regarding the interplay between ab initio calculations and metrology are reviewed, with particular emphasis on gas-based techniques used for temperature and pressure measurements. Since roughly 2010, several thermophysical…

We study the dynamics of the noncommutative fuid in the Snyder space perturbatively at the first order in powers of the noncommutative parameter. The linearized noncommutative fluid dynamics is described by a system of coupled linear…

High Energy Physics - Theory · Physics 2016-11-26 M. C. B. Abdalla , L. Holender , M. A. Santos , I. V. Vancea

We consider an extended Chaplygin gas equation of state which is driven from D-brane action and construct a cosmological model based on this equation of state. In this regard, we compute the scale factor of the model under a certain…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Behnam Pourhassan , Hoda Farahani , Sudhaker Upadhyay

In the causal theory of relativistic dissipative fluid dynamics, there are conditions on the equation of state and other thermodynamic properties such as the second-order coefficients of a fluid that need to be satisfied to guarantee that…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

Static and dynamical structure factors for shear and longitudinal modes of the velocity and density fields are computed for a granular system fluidized by a stochastic bath with friction. Analytical expressions are obtained through…

Statistical Mechanics · Physics 2015-05-28 Giacomo Gradenigo , Alessandro Sarracino , Dario Villamaina , Andrea Puglisi