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Nonlinear waves are studied in a mixture of liquid and gas bubbles. Influence of viscosity and heat transfer is taken into consideration on propagation of the pressure waves. Nonlinear evolution equations of the second and the third order…

Pattern Formation and Solitons · Physics 2011-12-23 Nikolay A. Kudryashov , Dmitry I. Sinelshchikov

We systematically investigate the speed of sound in QCD matter under different conditions in the grand canonical ensemble within the Polyakov loop improved Nambu--Jona-Lasinio (PNJL) model. The numerical results indicate that the dependence…

High Energy Physics - Phenomenology · Physics 2022-06-01 Wei-bo He , Guo-yun Shao , Xue-yan Gao , Xin-ran Yang , Chong-long Xie

It is known that a finite-size homogeneous granular fluid develops an hydrodynamic-like instability when dissipation crosses a threshold value. This instability is analyzed in terms of modified hydrodynamic equations: first, a source term…

Statistical Mechanics · Physics 2009-10-31 R. Soto , M. Mareschal , M. Malek Mansour

Most measurement methods based on ultrasound, such as sound velocity, absorption or flow measurement systems, require that the acoustic wave propagation is linear. In many cases, linear wave propagation is assumed due to small signal…

Fluid Dynamics · Physics 2020-01-17 Leander Claes , Carolin Steidl , Tim Hetkämper , Bernd Henning

Using gauge theory/gravity duality we study sound wave propagation in strongly coupled non-conformal gauge theory plasma. We compute the speed of sound and the bulk viscosity of N=2^* supersymmetric SU(N_c) Yang-Mills plasma at a…

High Energy Physics - Theory · Physics 2008-11-26 Paolo Benincasa , Alex Buchel , Andrei O. Starinets

We explore nonlinear perturbations in different static fluid systems. We find that the equations, corresponding to the perturbation of the integrals of motion, i.e; Bernoulli's constant and the mass flow rate, satisfy massless scalar field…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Satadal Datta

Nonlinear waves in a liquid with gas bubbles are studied. Higher order terms with respect to the small parameter are taken into account in the derivation of the equation for nonlinear waves. A nonlinear differential equation is derived for…

Pattern Formation and Solitons · Physics 2013-07-09 Nikolai A. Kudryashov , Dmitry I. Sinelshchikov

Gauge/string correspondence provides an efficient method to investigate gauge theories. In this talk we discuss the results of the paper (to appear) by P. Benincasa, A. Buchel and A. O. Starinets, where the propagation of sound waves is…

High Energy Physics - Theory · Physics 2009-11-11 Paolo Benincasa

Bulk, shear, and compressional aggregate sound velocities of hydrogen and helium in the close- packed hexagonal structure are calculated over a wide pressure range using two complementary approaches: semi-empirical lattice dynamics based on…

Other Condensed Matter · Physics 2015-06-16 Yu. A. Freiman , Alexei Grechnev , S. M. Tretyak , A. F. Goncharov , C. -s. Zha , R. J. Hemley

We extend the dynamic van der Waals model introduced by A. Onuki [Phys. Rev. Lett. 94, 054501 (2005)] to the description of cohesive granular flows under a plane shear to study their hydrodynamic instabilities. Numerically solving the…

Soft Condensed Matter · Physics 2026-03-26 Kuniyasu Saitoh , Satoshi Takada , Hisao Hayakawa

Compressible flow varies from ideal-gas behavior at high pressures where molecular interactions become important. Density is described through a cubic equation of state while enthalpy and sound speed are functions of both temperature and…

Fluid Dynamics · Physics 2020-03-11 William A. Sirignano

We formulate two estimation problems for pipeline systems in which measurements of compressible gas flow through a network of pipes is affected by time-varying injections, withdrawals, and compression. We consider a state estimation problem…

Systems and Control · Computer Science 2018-07-30 Kaarthik Sundar , Anatoly Zlotnik

A recently introduced particle-based model for fluid dynamics with continuous velocities is generalized to model fluids with excluded volume effects. This is achieved through the use of biased stochastic multi-particle collisions which…

Soft Condensed Matter · Physics 2007-05-23 Erkan Tuzel , Thomas Ihle , Daniel M. Kroll

We show that for a range of strongly coupled theories with a first order phase transition, the domain wall or bubble velocity can be expressed in a simple way in terms of a perfect fluid hydrodynamic formula, and thus in terms of the…

High Energy Physics - Theory · Physics 2022-08-31 Romuald A. Janik , Matti Jarvinen , Hesam Soltanpanahi , Jacob Sonnenschein

We show that a reformulation of the governing equations for incompressible multi-phase flow in the volume of fluid setting leads to a well defined energy rate. Weak nonlinear inflow-outflow and solid wall boundary conditions complement the…

Analysis of PDEs · Mathematics 2024-12-31 Jan Nordström , Arnaud. G. Malan

We derive general analytical expressions for the time-averaged acoustic radiation force on a small spherical particle suspended in a fluid and located in an axisymmetric incident acoustic wave. We treat the cases of the particle being…

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

In superfluid systems several sound modes can be excited, as for example first and second sound in liquid helium. Here, we excite propagating and standing waves in a uniform two-dimensional Bose gas and we characterize the propagation of…

In this paper we have studied Van-Der-Waals fluid system with the generalized EOS as as discussed in the recent works of Kremer, G.M [1, 4], Vardiashvili, G [2], Jantsch, R.C [3], Capozziello, S [5]. and are functions of energy density and…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Alokananda Kar , Shouvik Sadhukhan , Surajit Chattopadhyay

We investigate general thermodynamic stability conditions for the superfluid. This analysis is performed in an extended space of thermodynamic variables containing (along with the usual thermodynamic coordinates such as pressure and…

Statistical Mechanics · Physics 2009-11-10 A. F. Andreev , L. A. Melnikovsky

In this chapter we have introduced a special type of non-linear equation of state to discuss the cosmological evolution mechanism. The new equation of state is a four parameters model which can be represented as…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Shouvik Sadhukhan , Alokananda Kar , Surajit Chattopadhyay