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Implicit integration of the viscous term can significantly improve performance in computational fluid dynamics for highly viscous fluids such as lava. We show improvements over our previous proposal for semi-implicit viscous integration in…

The normal modes of a three-dimensional Yukawa plasma in an isotropic, harmonic confinement are investigated by solving the linearized cold fluid equations. The eigenmodes are found analytically and expressed in terms of hypergeometric…

Plasma Physics · Physics 2010-11-29 H. Kählert , M. Bonitz

A variety of models for the membrane-mediated interaction of particles in lipid membranes, mostly well-established in theoretical physics, is reviewed from a mathematical perspective. We provide mathematically consistent formulations in a…

Analysis of PDEs · Mathematics 2016-06-29 Charles M. Elliott , Carsten Gräser , Graham Hobbs , Ralf Kornhuber , Maren-Wanda Wolf

The large-scale curvature perturbations induced by spectator anisotropic stresses are analyzed across the matter-radiation transition. It is assumed that the anisotropic stress is associated with a plasma component whose energy density is…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-28 Massimo Giovannini

In this work, we present a novel kind of energetic particle modes with frequencies in the range of thermal ion diamagnetic and/or transit frequencies in burning plasmas. It is shown that the continuum structure can be broken by the…

Plasma Physics · Physics 2024-04-09 Yang Li

Isotropic and spatially homogeneous viscous fluid cosmological models are investigated using the truncated Israel-Stewart theory of irreversible thermodynamics to model the bulk viscous pressure. The governing system of differential…

General Relativity and Quantum Cosmology · Physics 2010-04-06 A A Coley , R J van den Hoogen

We perform a qualitative and thermodynamic study of two models when one takes into account adiabatic particle production. In the first one, there is a constant particle production rate, which leads to solutions depicting the current cosmic…

General Relativity and Quantum Cosmology · Physics 2017-03-13 Llibert Aresté Saló , Jaume de Haro

The one-dimensional non-boost-invariant evolution of the quark-gluon plasma, presumably produced during the early stages of heavy-ion collisions, is analyzed within the frameworks of viscous and anisotropic hydrodynamics. We neglect…

Nuclear Theory · Physics 2016-12-21 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland , Leonardo Tinti

We investigate cosmological constraints on primordial isocurvature and tensor perturbations, using recent observations of the cosmic microwave background and the large scale structure. We find that present observations are consistent with…

Astrophysics · Physics 2009-06-23 Masahiro Kawasaki , Toyokazu Sekiguchi

The viscous regularization of an ill-posed diffusion equation with bistable nonlinearity predicts a hysteretic behavior of dynamical phase transitions but a complete mathematical \mbox{understanding} of the intricate multiscale evolution is…

Analysis of PDEs · Mathematics 2023-11-21 Carina Geldhauser , Michael Herrmann , Dirk Janßen

Simple curvaton models can generate a mixture of of correlated primordial adiabatic and isocurvature perturbations. The baryon and cold dark matter isocurvature modes differ only by an observationally null mode in which the two…

Astrophysics · Physics 2009-11-07 Christopher Gordon , Antony Lewis

Three-dimensional non-rotating odd viscous liquids give rise to Taylor columns and support {axisymmetric} inertial-like waves [\emph{J. Fluid Mech.}, vol. {973}, A30, (2023)]. When an odd viscous liquid is subjected to rigid-body rotation…

Fluid Dynamics · Physics 2026-02-02 E. Kirkinis , M. Olvera de la Cruz

The continuum-scale electrokinetic porous-media flow and excess charge redistribution equations are uncoupled using eigenvalue decomposition. The uncoupling results in a pair of independent diffusion equations for "intermediate" potentials…

Computational Physics · Physics 2020-09-01 Kristopher L. Kuhlman , Bwalya Malama

We study the dynamics of long-wavelength fluctuations in one-dimensional (1D) many-particle systems as described by self-consistent mode-coupling theory. The corresponding nonlinear integro-differential equations for the relevant…

Statistical Mechanics · Physics 2015-06-25 Luca Delfini , Stefano Lepri , Roberto Livi , Antonio Politi

The viscosity tensor of the magnetized one-component plasma, consisting of five independent shear viscosity coefficients, a bulk viscosity coefficient, and a cross coefficient, is computed using equilibrium molecular dynamics simulations…

Plasma Physics · Physics 2020-12-30 Brett Scheiner , Scott Baalrud

We develop a theory of viscous dissipation in one-dimensional single-component quantum liquids at low temperatures. Such liquids are characterized by a single viscosity coefficient, the bulk viscosity. We show that for a generic interaction…

Strongly Correlated Electrons · Physics 2017-07-25 K. A. Matveev , M. Pustilnik

We consider an active, stochastic microscopic model of particles suspended in a fluid and show that the coarse-grained description of this model renders odd viscoelasticity. The particles are odd dumbbells, each featuring a robotic device…

Soft Condensed Matter · Physics 2024-10-23 Paweł Matus , Ruben Lier , Piotr Surówka

We present a comprehensive study of the discretized modes of an atomic gas in different conditions of confinement. Starting from the equations of hydrodynamics we derive a closed equation for the velocity field, depending on the adiabatic…

Quantum Gases · Physics 2015-11-19 Giulia De Rosi , Sandro Stringari

Vibrational modes and instabilities of a dust particle pair in a terrestrial laboratory complex plasma are investigated employing an analytical method whereby the plasma wakefield induced by an external electric field is modeled using an…

Plasma Physics · Physics 2015-05-20 Ke Qiao , Lorin Matthews , Truell W. Hyde

The formation of singularity and breakdown of classical solutions to the three-dimensional compressible viscoelasticity and inviscid elasticity are considered. For the compressible inviscid elastic fluids, the finite-time formation of…

Analysis of PDEs · Mathematics 2011-09-08 Xianpeng Hu , Dehua Wang