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We simulate the dynamics of phase assembly in binary immiscible fluids and ternary microemulsions using a three-dimensional hydrodynamic lattice gas approach. For critical spinodal decomposition we perform the scaling analysis in reduced…

软凝聚态物质 · 物理学 2009-11-07 Peter J. Love , Peter V. Coveney , Bruce M. Boghosian

The persistent homology of a stationary point process on ${\bf R}^N$ is studied in this paper. As a generalization of continuum percolation theory, we study higher dimensional topological features of the point process such as loops,…

概率论 · 数学 2016-12-28 Trinh Khanh Duy , Yasuaki Hiraoka , Tomoyuki Shirai

We study the non-equilibrium properties of a dynamical fluid composed of quasi-particles whose mass is temperature and charge chemical potential dependent, in kinetic theory under the relaxation time approximation. In particular we…

高能物理 - 唯象学 · 物理学 2012-10-31 Waseem Bashir , Saeed Uddin , Jan Shabir Ahmad

The aim of this Letter is to characterize the flow regimes of suspensions of finite-size rigid particles in a viscous fluid at finite inertia. We explore the system behavior as function of the particle volume fraction and the Reynolds…

流体动力学 · 物理学 2015-06-18 Iman Lashgari , Francesco Picano , Wim-Paul Breugem , Luca Brandt

We formulate the scaled particle theory for a general mixture of hard isosceles triangles and calculate different phase diagrams for the one-component fluid and for certain binary mixtures. The fluid of hard triangles exhibits a complex…

软凝聚态物质 · 物理学 2018-05-16 Yuri Martinez-Raton , Ariel Diaz-De Armas , Enrique Velasco

We study the hydrodynamic and the hydrostatic behavior of the Simple Symmetric Exclusion Process with \emph{slow boundary}. The term \emph{slow boundary} means that particles can be born or die at the boundary sites, at a rate proportional…

概率论 · 数学 2017-03-23 Rangel Baldasso , Otávio Menezes , Adriana Neumann , Rafael R. Souza

In this paper, we consider the stability threshold for the shear flows of the Boussinesq system in a domain $\mathbb{T} \times \mathbb{R}$. The main goal is to prove the nonlinear stability of the shear flow $(U^S,\Theta^S)=((e^{\nu…

偏微分方程分析 · 数学 2024-06-19 Dongfen Bian , Xueke Pu

The article proposes a causal five-field formulation of dissipative relativistic fluid dynamics as a quasilinear symmetric hyperbolic system of second order. The system is determined by four dissipation coefficients eta, zeta, kappa, mu,…

数学物理 · 物理学 2023-01-16 Heinrich Freistuhler

Fluid mixtures, such as the cellular cytoplasm and synthetic DNA nanostars, can spontaneously compartmentalize into many coexisting phases through liquid-liquid phase separation. Despite the diversity of fluid structures that emerge from…

流体动力学 · 物理学 2026-03-05 Michael Rennick , Xitong Zhang , Halim Kusumaatmaja

We consider an electrodiffusion model describing the evolution of $N$ ionic species in a three-dimensional fluid flowing through a porous medium and forced by added body charges. We address the global well-posedness and long-time dynamics…

偏微分方程分析 · 数学 2024-08-15 Elie Abdo , Đorđe Nikolić

We study the stability of amorphous solids, focusing on the distribution P(x) of the local stress increase x that would lead to an instability. We argue that this distribution is singular P(x)x^{\theta}, where the exponent {\theta} is…

软凝聚态物质 · 物理学 2014-11-19 Jie Lin , Alaa Saade , Edan Lerner , Alberto Rosso , Matthieu Wyart

The persistence probability P_g(t) of the global order-parameter of a simple ferromagnet undergoing phase-ordering kinetics after a quench from a fully disordered state to below the critical temperature, T<T_c, is analysed. It is argued…

统计力学 · 物理学 2009-12-21 Malte Henkel , Michel Pleimling

We introduce a simple model of the time evolution of a binary mixture of compressible fluids including the thermal effects. Despite its apparent simplicity, the model is thermodynamically consistent admitting an entropy balance equation. We…

偏微分方程分析 · 数学 2021-09-07 Eduard Feireisl , Madalina Petcu , Bangwei She

We investigate the shear viscosity $\eta$ and the entropy density $s$ of strongly coupled $\mathcal{N}=4$ super Yang-Mills (SYM) plasma in late time of hydrodynamic evolution with AdS/CFT duality and Bjorken scaling. We use correlation…

高能物理 - 唯象学 · 物理学 2011-04-07 Shi Pu , Qun Wang

The dynamics of a binary system with non conserved order parameter under a plain shear flow with rate $\gamma $ is solved analytically in the large-N limit. A phase transition is observed at a critical temperature $T_c(\gamma)$. After a…

统计力学 · 物理学 2009-11-07 Federico Corberi , Giuseppe Gonnella , Eugenio Lippiello , Marco Zannetti

In this paper, we study the longtime asymptotic behavior of a phase separation process occurring in a three-dimensional domain containing a fluid flow of given velocity. This process is modeled by a viscous convective Cahn-Hilliard system,…

偏微分方程分析 · 数学 2018-03-13 Pierluigi Colli , Gianni Gilardi , Jürgen Sprekels

We calculate the ratio eta/s, the shear viscosity (eta) to entropy density (s), which characterizes how perfect a fluid is, in weakly coupled real scalar field theories with different types of phase transitions. The mean-field results of…

高能物理 - 唯象学 · 物理学 2009-01-01 Jiunn-Wei Chen , Mei Huang , Yen-Han Li , Eiji Nakano , Di-Lun Yang

We experimentally investigate the dynamics of inertial spheres settling through density-stratified interfaces, focusing on the conditions that lead to pronounced deceleration and ``bouncing''. Using synchronized particle tracking and flow…

流体动力学 · 物理学 2025-10-28 Chen Mortenfeld , Maarten van Reeuwijk , Aviv Littman , Alex Liberzon

This article explores particle number diffusion in relativistic hydrodynamics using kinetic theory with a modified collision kernel that incorporates the momentum dependence of the particle relaxation time. Starting from the Boltzmann…

高能物理 - 唯象学 · 物理学 2025-05-27 Sunny Kumar Singh , Samapan Bhadury , Manu Kurian , Vinod Chandra

In this paper, we consider the asymptotic stability of the 2D Taylor-Couette flow in the exterior disk, with a small kinematic viscosity $\nu \ll 1$ and a large rotation coefficient $|B|$. Due to the degeneracy of the Taylor-Couette flow at…

偏微分方程分析 · 数学 2025-03-27 Te Li , Ping Zhang , Yibin Zhang