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Due to the rapid longitudinal expansion of the quark-gluon plasma created in relativistic heavy ion collisions, potentially large local rest frame momentum-space anisotropies are generated. The magnitude of these momentum-space anisotropies…

Nuclear Theory · Physics 2013-02-01 Wojciech Florkowski , Mauricio Martinez , Radoslaw Ryblewski , Michael Strickland

We present results of the application of the anisotropic hydrodynamics (aHydro) framework to (2+1)-dimensional boost invariant systems. The necessary aHydro dynamical equations are derived by taking moments of the Boltzmann equation using a…

Nuclear Theory · Physics 2012-06-20 Mauricio Martinez , Radoslaw Ryblewski , Michael Strickland

We study the influence of geometric and dynamical anisotropies on the development of flow harmonics and, simultaneously, on the second- and third-order oscillations of femtoscopy radii. The analysis is done within the Monte Carlo event…

High Energy Physics - Phenomenology · Physics 2017-11-20 L. V. Bravina , I. P. Lokhtin , L. V. Malinina , S. V. Petrushanko , A. M. Snigirev , E. E. Zabrodin

A recently obtained set of the equations for leading-order (3+1)D anisotropic hydrodynamics is tested against exact solutions of the Boltzmann equation with the collisional kernel treated in the relaxation time approximation. In order to…

High Energy Physics - Phenomenology · Physics 2016-01-20 Leonardo Tinti , Radoslaw Ryblewski , Wojciech Florkowski , Michael Strickland

We consider the effects of anisotropic diffusion and hydrodynamic flows on the relaxation time scales of the lamellar phase of a diblock copolymer. We first extend the two-fluid model of a polymer solution to a block copolymer, and include…

Soft Condensed Matter · Physics 2011-06-22 Chi-Deuk Yoo , Jorge Vinals

Using molecular dynamics we studied the role of the anisotropy on the phase boundary and on the anomalous behavior of 250 dimeric particles interacting by a core-softened potential. This study led us to an unexpected result: the…

In this work we describe the dynamics of a highly anisotropic system undergoing boost-invariant longitudinal and azimuthally symmetric radial expansion (Gubser flow) for arbitrary shear viscosity to entropy density ratio. We derive the…

Nuclear Theory · Physics 2018-03-14 M. Martinez , M. McNelis , U. Heinz

The framework of anisotropic hydrodynamics is used in 3+1 dimensions to analyze behavior of matter produced in ultra-relativistic heavy-ion collisions. The model predictions for the hadronic transverse-momentum spectra, directed and…

Nuclear Theory · Physics 2015-06-05 Wojciech Florkowski , Radoslaw Ryblewski

We study the phase transition dynamics of a fluid system in which the particles diffuse anisotropically in space. The motivation to study such a situation is provided by systems of interacting magnetic colloidal particles subject to the…

Soft Condensed Matter · Physics 2018-10-04 Hidde Derk Vuijk , Joseph Michael Brader , Abhinav Sharma

Non-ideal fluids are likely to be affected by the occurrence of pressure anisotropy effects, whose understanding for relativistic systems requires knowledge of the energy-momentum tensor. In this paper the case of magnetized jet plasmas at…

Plasma Physics · Physics 2023-06-22 Claudio Cremaschini

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…

Analysis of PDEs · Mathematics 2025-05-13 Sara Merino-Aceituno , Steffen Plunder , Claudia Wytrzens , Havva Yoldaş

The quark-gluon plasma created in a relativistic heavy-ion collisions possesses a sizable pressure anisotropy in the local rest frame at very early times after the initial nuclear impact and this anisotropy only slowly relaxes as the system…

Nuclear Theory · Physics 2017-03-27 Michael Strickland

We derive the equations of motion for a system undergoing boost-invariant longitudinal and azimuthally-symmetric transverse "Gubser flow" using leading-order anisotropic hydrodynamics. This is accomplished by assuming that the one-particle…

Nuclear Theory · Physics 2015-02-05 Mohammad Nopoush , Radoslaw Ryblewski , Michael Strickland

We investigate the dynamical properties of a type-II optical parametric oscillator pumped by a structured light beam carrying orbital angular momentum. Different dynamical regimes are theoretically derived and experimentally demonstrated,…

Optics · Physics 2020-01-08 R. F. Barros , G. B. Alves , D. S. Tasca , C. E. R. Souza , A. Z. Khoury

We introduce a new framework of highly-anisotropic hydrodynamics that includes dissipation effects. Dissipation is defined by the form of the entropy source that depends on the pressure anisotropy and vanishes for the isotropic fluid. With…

Nuclear Theory · Physics 2011-04-04 Wojciech Florkowski , Radoslaw Ryblewski

The verification of whether small-scale turbulence is isotropic remains a grand challenge. The difficulty arises because the presence of small-scale anisotropy is tied to the dissipation tensor, whose components require the full…

Fluid Dynamics · Physics 2024-05-03 Subharthi Chowdhuri , Tirtha Banerjee

In this article, we analyse a stabilised equal-order finite element approximation for the Stokes equations on anisotropic meshes. In particular, we allow arbitrary anisotropies in a sub-domain, for example along the boundary of the domain,…

Numerical Analysis · Mathematics 2018-10-12 Stefan Frei

The structure of novel hydrodynamic model of plasmas with the relativistic temperatures consisted of four equations for the material fields is presented for the regime of anisotropic pressure and other tensors describing the thermal…

Plasma Physics · Physics 2021-10-29 Pavel A. Andreev

In this proceedings contribution, we review the exact solution of the anisotropic hydrodynamics equations for a system subject to Gubser flow. For this purpose, we use the leading-order anisotropic hydrodynamics equations which assume that…

Nuclear Theory · Physics 2016-10-07 Michael Strickland , Mohammad Nopoush , Radoslaw Ryblewski

In this work, a Bayesian inversion framework for hydraulic phase-field transversely isotropic and orthotropy anisotropic fracture is proposed. Therein, three primary fields are pressure, displacements, and phase-field while…

Computational Engineering, Finance, and Science · Computer Science 2021-09-22 Nima Noii , Amirreza Khodadadian , Thomas Wick