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In undercooled liquids, the anharmonicity of the interatomic potentials causes a volume increase of the inherent structures with increasing energy content. In most glass formers, this increase is stronger than the vibrational Gr\"uneisen…

Disordered Systems and Neural Networks · Physics 2016-04-19 U. Buchenau

We investigate the density large deviation function for a multidimensional conservation law in the vanishing viscosity limit, when the probability concentrates on weak solutions of a hyperbolic conservation law conservation law. When the…

Statistical Mechanics · Physics 2018-03-14 Julien Barré , Cedric Bernardin , Raphaël Chetrite

We theoretically study the behavior of vesicles filled with a liquid of higher density than the surrounding medium, a technique frequently used in experiments. In the presence of gravity, these vesicles sink to the bottom of the container,…

Condensed Matter · Physics 2009-10-28 Martin Kraus , Udo Seifert , Reinhard Lipowsky

We describe a first-order phase transition of a simple system in a process where the volume is kept constant. We show that, unlike what happens when the pressure is constant, (i) the transformation extends over a finite temperature (and…

Classical Physics · Physics 2022-01-12 V. F. Correa , F. J. Castro

Non-linear equations of radial motion of a gas bubble in a compressible viscous liquid have been modified considering effects of viscosity and compressibility more complete than all previous works. A new set of equations has been derived…

Fluid Dynamics · Physics 2007-05-23 Ahmad Moshaii , Rasool Sadighi-Bonabi , Mohammd Taeibi-Rahni

In this paper we investigate the constant volume exponential solutions (i.e. the solutions with the scale factors change exponentially over time so that the comoving volume remains the same) in the Einstein-Gauss-Bonnet gravity. We find…

General Relativity and Quantum Cosmology · Physics 2014-12-17 Dmitry Chirkov , Sergey A. Pavluchenko , Alexey Toporensky

We study the dynamics of a coupled system, formed by a rigid body with a cavity entirely filled with magnetohydrodynamic compressible fluid. Our aim is to derive the global existence of the unique classical solutions and weak solutions to…

Analysis of PDEs · Mathematics 2023-07-26 Bingkang Huang , Václav Mácha , Šárka Nečasová

The present article proposes a diffuse interface model for compressible multicomponent flows with transport phenomena of mass, momentum and energy (i.e., mass diffusion, viscous dissipation and heat conduction). The model is reduced from…

Analysis of PDEs · Mathematics 2022-10-26 Chao Zhang , Lifeng Wang

We study the system of equations which describes barotropic (isentropic) flows of viscous compressible multi-fluids (mixtures of fluids). We study the relations between pressure, densities, concentrations, viscosities and other parameters…

Analysis of PDEs · Mathematics 2017-11-22 Alexander Mamontov , Dmitriy Prokudin

We simulate a hard-sphere liquid in confined geometry where the separation of the two parallel, hard walls is smaller than two particle diameters. By systematically reducing the wall separation we analyze the behavior of structural and…

Soft Condensed Matter · Physics 2022-08-18 Gerhard Jung , Thomas Franosch

We study the motion of the system, S, constituted by a rigid body, B, containing in its interior a viscous compressible fluid, and moving in absence of external forces. Our main objective is to characterize the long time behavior of the…

Analysis of PDEs · Mathematics 2019-01-30 Giovanni Paolo Galdi , Václav Mácha , Šárka Nečasová

We generalize the Gubser solution of viscous hydrodynamics by including the finite density effect and analytically compute the flow harmonics $v_n$. We explicitly show how $v_n$ and their viscous corrections depend on the chemical…

High Energy Physics - Phenomenology · Physics 2015-12-09 Yoshitaka Hatta , Akihiko Monnai , Bo-Wen Xiao

We investigate the high viscosity limit (also called inertial limit) of the barotropic compressible Navier-Stokes equations supplemented with initial data which are perturbations of a stable constant solution. In the case of constant…

Analysis of PDEs · Mathematics 2026-03-17 Raphaël Danchin

In this study, we analyzed the pressure-volume ($P-V$) relationship of elements using the equation of state at an ambient temperature within the multi-megabar pressure range of 200-300 GPa. We investigated the compressibility of elements…

Materials Science · Physics 2024-08-19 Yuichi Akahama , Masaaki Geshi

We present a theoretical study of transport properties of a liquid comprised of particles uist1:/home/sokrates/egorov/oldhome/Pap41/Submit > m abs.tex We present a theoretical study of transport properties of a liquid comprised of particles…

Soft Condensed Matter · Physics 2015-05-18 Lindsey Ann Shall , Sergei A. Egorov

Hydrophobic effects drive diverse aqueous assemblies, such as micelle formation or protein folding, wherein the solvent plays an important role. Consequently, characterizing the free energetics of solvent density fluctuations can lead to…

Soft Condensed Matter · Physics 2018-11-28 Zhitong Jiang , Richard C. Remsing , Nicholas B. Rego , Amish J. Patel

We consider the stationary state of a fluid comprised of inelastic hard spheres or disks under the influence of a random, momentum-conserving external force. Starting from the microscopic description of the dynamics, we derive a nonlinear…

Statistical Mechanics · Physics 2013-02-25 W. T. Kranz , M. Sperl , A. Zippelius

We consider a system of multiple insulating rigid bodies moving inside of an electrically conducting compressible fluid. In this system we take into account the interaction of the fluid with the bodies as well as with the electromagnetic…

Analysis of PDEs · Mathematics 2022-08-15 Jan Scherz

We obtain two equations (following from two different approaches) for the density profile in a self-gravitating polytropic cylindrically symmetric and rotating turbulent gas disk. The adopted physical picture is appropriate to describe the…

Astrophysics of Galaxies · Physics 2023-12-07 S. Donkov , I. Zh. Stefanov , T. V. Veltchev , R. S. Klessen

This work presents analytical formulas derived for evaluating vapor transport of a volatile solvent for an isolated multicomponent droplet in a quiescent environment, based on quasi-steady-state approximation. Among multiple solvent…

Chemical Physics · Physics 2015-08-17 James Q. Feng