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The purpose of this paper is to derive anisotropic mean curvature flow as the limit of the anisotropic Allen-Cahn equation. We rely on distributional solution concepts for both the diffuse and sharp interface models, and prove convergence…

偏微分方程分析 · 数学 2022-12-23 Tim Laux , Kerrek Stinson , Clemens Ullrich

A new class of 3D anisotropic analytic solutions of relativistic hydrodynamics with constant pressure is found. We analyse, in particular, solutions corresponding to ellipsoidally symmetric expansion of finite systems into vacuum. They can…

核理论 · 物理学 2009-11-11 Yu. M. Sinyukov , Iu. A. Karpenko

We calculate the $k$-particle ($k=2,4,6,8$) azimuthal cumulants resulting from the conservation of transverse momentum. We find that $c_2\{k\}>0$ and depending on the transverse momenta, $c_2\{k\}$ can reach substantial values even for a…

高能物理 - 唯象学 · 物理学 2018-01-24 Adam Bzdak , Guo-Liang Ma

A formalism for anisotropic fluid dynamics is proposed. It is designed to describe boost-invariant systems with anisotropic pressure. Such systems are expected to be produced at the early stages of relativistic heavy-ion collisions, when…

核理论 · 物理学 2008-11-26 Wojciech Florkowski

Run-and-tumble processes successfully model several living systems. While studies have typically focused on particles with isotropic tumbles, recent examples exhibit "tumble-turns", in which particles undergo 90{\deg} tumbles and so possess…

软凝聚态物质 · 物理学 2024-03-19 Benjamin Loewe , Tyler N. Shendruk

We investigate the azimuthal anisotropy $v_2$ of particle production in nucleus-nucleus collisions in the maximum entropy approach. This necessitates two new phenomenological input parameters $\delta$ and $\lambda_2$ compared with…

核理论 · 物理学 2016-03-23 Hans J. Pirner , Klaus Reygers , Boris Z. Kopeliovich

A classic result due to G.I.Taylor is that a drop placed in a uniform electric field becomes a prolate or oblate spheroid, which is axisymmetrically aligned with the applied field. We report an instability and symmetry-breaking transition…

流体动力学 · 物理学 2013-10-30 Paul F. Salipante , Petia M. Vlahovska

For several independent reasons, the idea that notorious sources of entropy could exist in the Universe has been recently revived. Taking advantage of a new framework accounting for non-equilibrium processes in cosmology, we explicitly…

广义相对论与量子宇宙学 · 物理学 2025-05-27 Jamy-Jayme Thézier , Aurélien Barrau , Killian Martineau

A new analytical approach is presented for analysis of two-particle azimuthal correlations in heavy ion collisions at relativistic energies. This approach suggests that elliptic flow measured by experiment has a compound structure, namely,…

核理论 · 物理学 2007-05-23 V. A. Okorokov

We consider here a fully discrete variant of the implicit variational scheme for mean curvature flow [AlmTayWan,LucStu], in a setting where the flow is governed by a crystalline surface tension defined by the limit of pairwise interactions…

偏微分方程分析 · 数学 2025-06-10 Antonin Chambolle , Daniele De Gennaro , Massimiliano Morini

We consider the normalized Ricci flow evolving from an initial metric which is conformally compactifiable and asymptotically hyperbolic. We show that there is a unique evolving metric which remains in this class, and that the flow exists up…

微分几何 · 数学 2019-01-07 Eric Bahuaud , Eric Woolgar

We consider the release and subsequent gravity-driven spreading of a finite volume of fluid in an anisotropic porous medium bounded by an impermeable substrate. When the permeability in the vertical direction is much smaller than the…

流体动力学 · 物理学 2023-04-24 GP Benham

The analysis of anisotropic flow of particles created in high energy heavy-ion collisions gives insight into the early stage of these reactions. Measurements of directed flow (v1), elliptic flow (v2) and flow of 4th and 6th order (v4 and…

核实验 · 物理学 2019-08-14 Markus D. Oldenburg

The quark gluon plasma generated in ultrarelativistic heavy ion collisions may possess sizable momentum-space anisotropies that cause the longitudinal and transverse pressures in the local rest frame to be significantly different. We review…

核理论 · 物理学 2015-06-11 Michael Strickland

We report results of dissipative particle dynamics simulations and develop a semi-analytical theory of an anisotropic flow in a parallel-plate channel with two superhydrophobic striped walls. Our approach is valid for any local slip at the…

流体动力学 · 物理学 2015-06-04 Jiajia Zhou , Aleksey V. Belyaev , Friederike Schmid , Olga I. Vinogradova

The elliptic flow in collisions of neutron-rich heavy-ion systems at intermediate energies emerges as an observable sensitive to the strength of the symmetry energy at supra-saturation densities. First results obtained by comparing ratios…

核实验 · 物理学 2014-02-06 W. Trautmann , H. H. Wolter

The interaction of strong electromagnetic fields with plasma generates radiation accompanied by a recoil force, which can significantly alter the plasma dynamics. In this work, we investigate the development of anisotropic momentum…

等离子体物理 · 物理学 2025-09-25 Haidar Al-Naseri

Collective flow reflects the dynamical evolution in high-energy heavy ion collisions. In particular, the elliptic flow reflects early collision dynamics.We present a systematic analysis of elliptic flow ($v_{2}$) for identified particles…

核实验 · 物理学 2019-08-13 Shusu Shi

We develop the complete theory for the collective plasmon modes of an interacting electron system in the presence of explicit mass (or velocity) anisotropy in the corresponding non-interacting situation, with the effective Fermi velocity…

介观与纳米尺度物理 · 物理学 2021-01-27 Seongjin Ahn , S. Das Sarma

Elongated particles in dense systems often exhibit alignment due to volume exclusion interactions, leading to packing configurations. Traditional models of collective dynamics typically impose this alignment phenomenologically, neglecting…

偏微分方程分析 · 数学 2025-05-13 Sara Merino-Aceituno , Steffen Plunder , Claudia Wytrzens , Havva Yoldaş