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This study presents a first-principles model to predict the two-phase pressure drop in gas-liquid intermittent flow through round capillaries, which serve as the simplest analogous of a porous medium. Building upon the classical capillary…

Fluid Dynamics · Physics 2025-10-15 Paolo Botticini , Davide Picchi , Santanu Sinha , Alex Hansen

Quadratic flows have the unique property of uniform strain and are commonly used in turbulence modeling and hydrodynamic analysis. While previous application focused on two-dimensional homogeneous fluid, this study examines the geometric…

Fluid Dynamics · Physics 2017-03-30 Che Sun

We consider two-dimensional geometries flowing away from an asymptotically AdS$_2$ spacetime. Macroscopically, flow geometries and their thermodynamic properties are studied from the perspective of dilaton-gravity models. We present a…

High Energy Physics - Theory · Physics 2021-02-24 Dionysios Anninos , Damián A. Galante

The phase separation of two-dimensional binary mixtures has been studied through numerical Langevin simulations based on a Ginzburg-Landau free energy. We have considered not symmetric mixtures with and without imposed shear flow. In the…

Soft Condensed Matter · Physics 2007-05-23 A. Lamura , G. Gonnella

We consider the demixing of a binary fluid mixture, under gravity, which is steadily driven into a two phase region by slowly ramping the temperature. We assume, as a first approximation, that the system remains spatially isothermal, and…

Soft Condensed Matter · Physics 2009-11-10 M. E. Cates , J. Vollmer , A. Wagner , D. Vollmer

This paper reports theoretical and numerical investigations on free molecular gas flows through micro-channels. Both diffusely and specularly reflective channel surfaces are considered. Gaskinetic methods are adopted to develop the…

Fluid Dynamics · Physics 2020-08-26 Shiying Cai , Chunpei Cai , Jun Li

We consider linear hyperbolic balance law that describe gas flow. Stochastic influences are introduced by series of orthogonal functions. A deterministic stabilization concept, which makes deviations at steady states decay exponentially…

Optimization and Control · Mathematics 2021-02-25 Stephan Gerster

This paper is devoted to the analysis of an abstract formula describing quantum adiabatic charge pumping in a general context. We consider closed systems characterized by a slowly varying time-dependent Hamiltonian depending on an external…

Mathematical Physics · Physics 2010-02-08 A. Joye , V. Brosco , F. Hekking

The dielectric function for electron gas with parabolic energy bands is derived in a fractional dimensional space. The static response function shows a good dimensional dependance. The plasma frequencies are obtained from the roots of the…

Plasma Physics · Physics 2014-03-25 Krushna Mohan Mohapatra , Birendra kumar Panda

Heterogeneities in the cell membrane due to coexisting lipid phases have been conjectured to play a major functional role in cell signaling and membrane trafficking. Thereby the material properties of multiphase systems, such as the line…

Soft Condensed Matter · Physics 2013-04-17 Stefan Semrau , Timon Idema , Laurent Holtzer , Thomas Schmidt , Cornelis Storm

Nonlocal rheologies allow for the modeling of granular flows from the creeping to intermediate flow regimes, using a small number of parameters. In this paper, we report on experiments testing how particle properties affect model…

Soft Condensed Matter · Physics 2021-08-26 Farnaz Fazelpour , Zhu Tang , Karen E. Daniels

We consider the influence of electric field gradients on the phase behavior of nonpolar binary mixtures. Small fields give rise to smooth composition profiles, whereas large enough fields lead to a phase-separation transition. The critical…

Statistical Mechanics · Physics 2015-05-13 Sela Samin , Yoav Tsori

Meandering instability is familiar to everyone through river meandering or small rivulets of rain flowing down a windshield. However, its physical understanding is still premature, although it could inspire researchers in various fields,…

Soft Condensed Matter · Physics 2016-12-13 Yuki Yoshimura , Yui Yagisawa , Ko Okumura

Complex and nonlinear dynamical systems often involve parameters that change with time, accurate tracking of which is essential to tasks such as state estimation, prediction, and control. Existing machine-learning methods require full state…

Machine Learning · Computer Science 2023-11-16 Zheng-Meng Zhai , Mohammadamin Moradi , Bryan Glaz , Mulugeta Haile , Ying-Cheng Lai

At the macroscopic scale, many important models of collective motion fall into the class of kinematic flows for which both velocity and diffusion terms depend only on particle density. When total particle numbers are fixed and finite,…

Adaptation and Self-Organizing Systems · Physics 2022-04-12 Jeremy Worsfold , Tim Rogers , Paul Milewski

In this paper, we first construct a model for free surface flows that takes into account the air entrainment by a system of four partial differential equations. We derive it by taking averaged values of gas and fluid velocities on the cross…

Analysis of PDEs · Mathematics 2013-02-04 Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

We have extended our study of the competition between the drive and stabilization of plasma microinstabilities by sheared flow to include electromagnetic effects at low plasma $\beta$ (the ratio of plasma to magnetic pressure). The extended…

Plasma Physics · Physics 2015-06-16 M. D. J. Cole , S. L. Newton , S. C. Cowley , N. F. Loureiro , D. Dickinson , C. Roach , J. W. Connor

The application of the collective variables method to the study of the behaviour of nonuniversal characteristics of the system in the critical region is illustrated by an example of the order parameter. Explicit expressions for the order…

Statistical Mechanics · Physics 2013-07-09 I. V. Pylyuk

We use numerical simulations to study the shear-driven steady-state flow of athermal, frictionless, overdamped, two dimensional cross-shaped particles of varying aspect ratios, and make comparison with the behavior of rod-shaped and…

Soft Condensed Matter · Physics 2021-04-05 Theodore A. Marschall , S. Teitel

We study the thermodynamic stability of fluid-fluid phase separation in binary nonadditive mixtures of hard-spheres for moderate size ratios. We are interested in elucidating the role played by small amounts of nonadditivity in determining…

Soft Condensed Matter · Physics 2011-10-25 G. Pellicane , F. Saija , C. Caccamo , P. V. Giaquinta