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We provide some general theoretical results to guide the optimization of transverse hydrodynamic phenomena in superhydrophobic channels. Our focus is on the canonical micro- and nanofluidic geometry of a parallel-plate channel with an…

Fluid Dynamics · Physics 2015-05-19 Francois Feuillebois , Martin Z. Bazant , Olga I. Vinogradova

Holographic superfluids/superconductors are one of the most studied systems in the AdS/CFT duality. In the low-energy, in the long-wavelength limit, they should be described by a Ginzburg-Landau theory. For critical dynamics, one expects…

High Energy Physics - Theory · Physics 2026-05-21 Makoto Natsuume

We present the two-dimensional inflow-outflow solutions of radiation hydrodynamic (RHD) equations of supercritical accretion flows. Compared with prior studies, we include all components of the viscous stress tensor. We assume steady state…

High Energy Astrophysical Phenomena · Physics 2020-01-15 Fatemeh Zahra Zeraatgari , Amin Mosallanezhad , Ye-Fei Yuan , De-Fu Bu , Liquan Mei

We consider holographic RG flows which interpolate between non-trivial ultra-violet (UV) and infra-red (IR) conformal fixed points. We study the ``superpotentials'' which characterize different flows and discuss their expansions near the…

High Energy Physics - Theory · Physics 2010-02-03 Dario Martelli , Andre Miemiec

Using both dynamical density functional theory and particle-resolved Brownian dynamics simulations, we explore the flow of two-dimensional colloidal solids and fluids driven through a linear channel with a geometric constriction. The flow…

Soft Condensed Matter · Physics 2016-05-25 Urs Zimmermann , Frank Smallenburg , Hartmut Löwen

We show examples of a striped superfluid in a simple $\lambda\varphi^4$ model at finite velocity and chemical potential with a global $U(1)$ or $U(2)$ symmetry. Whenever the chemical potential is large enough we find flowing homogeneous…

High Energy Physics - Theory · Physics 2015-08-10 Ignacio Salazar Landea

We consider relativistic hydrodynamics in the limit where the number of spatial dimensions is very large. We show that under certain restrictions, the resulting equations of motion simplify significantly. Holographic theories in a large…

High Energy Physics - Theory · Physics 2018-05-09 Moshe Rozali , Evyatar Sabag , Amos Yarom

We propose a method of construction of exact solutions of free boundary problems corresponding to Hele-Shaw flows in presence of an external field. Such a field may arise, in particular, due to electrokinetic phenomena. Both a general…

Mathematical Physics · Physics 2007-05-23 Vladimir Entov , Pavel Etingof

Simulations of water near extended hydrophobic spherical solutes have revealed the presence of a region of depleted density and accompanying enhanced density fluctuations.The physical origin of both phenomena has remained somewhat obscure.…

Soft Condensed Matter · Physics 2023-02-01 Mary K. Coe , Robert Evans , Nigel B. Wilding

Electron hydrodynamics gives rise to surprising correlated behaviors in which electrons "cooperate" to quench dissipation and reduce the electric fields needed to sustain the flow. Such collective "free" flows are usually expected at the…

Mesoscale and Nanoscale Physics · Physics 2020-12-18 Qiantan Hong , Margarita Davydova , Patrick J Ledwith , Leonid Levitov

We begin an investigation of inhomogeneous structures in holographic superfluids. As a first example, we study domain wall like defects in the 3+1 dimensional Einstein-Maxwell-Higgs theory, which was developed as a dual model for a…

High Energy Physics - Theory · Physics 2011-02-28 Ville Keranen , Esko Keski-Vakkuri , Sean Nowling , K. P. Yogendran

This paper surveys machine-learning-based super-resolution reconstruction for vortical flows. Super resolution aims to find the high-resolution flow fields from low-resolution data and is generally an approach used in image reconstruction.…

Fluid Dynamics · Physics 2023-07-05 Kai Fukami , Koji Fukagata , Kunihiko Taira

We explore the far from equilibrium response of a holographic superfluid using the AdS/CFT correspondence. We establish the dynamical phase diagram corresponding to quantum quenches of the order parameter source field. We find three…

High Energy Physics - Theory · Physics 2015-06-05 M. J. Bhaseen , Jerome P. Gauntlett , B. D. Simons , Julian Sonner , Toby Wiseman

Vortices are topological defects associated with superfluids and superconductors, which, when mobile, dissipate energy destroying the dissipation-less nature of the superfluid. The nature of this "quantum dissipation" is rooted in the…

High Energy Physics - Theory · Physics 2023-05-10 Wei-Can Yang , Chuan-Yin Xia , Hua-Bi Zeng , Makoto Tsubota , Jan Zaanen

Holographic duality provides a first-principles approach to investigate real time processes in quantum many-body systems, in particular at finite temperature and far-from-equilibrium. We use this approach to study the dynamical evolution of…

High Energy Physics - Theory · Physics 2015-12-09 Yiqiang Du , Chao Niu , Yu Tian , Hongbao Zhang

We consider the Cauchy problem for incompressible viscoelastic fluids in the whole space $\mathbb{R}^d$ ($d=2,3$). By introducing a new decomposition via Helmholtz's projections, we first provide an alternative proof on the existence of…

Analysis of PDEs · Mathematics 2023-07-28 Xianpeng Hu , Hao Wu

We theoretically investigate the critical velocity for dissipationless motion of a two-dimensional superfluid past a static potential barrier of large width. The circular-shaped barrier provides a comprehensive analytical framework for the…

Quantum Gases · Physics 2024-01-23 Juliette Huynh , Frédéric Hébert , Mathias Albert , Pierre-Élie Larré

We investigate holographic superfluids in AdS_{d+1} with d=3,4 in the non-backreacted approximation for various masses of the scalar field. In d=3 the phase structure is universal for all the masses that we consider: the critical…

High Energy Physics - Theory · Physics 2010-10-28 Daniel Arean , Pallab Basu , Chethan Krishnan

The two-dimensional nonlinear problem of steady flow past a body submerged beneath an elastic sheet is considered. The mathematical model is based on the velocity potential theory with fully nonlinear boundary conditions on the fluid…

Fluid Dynamics · Physics 2021-06-16 Y. A. Semenov

In this study we consider the problem of the interface motion under the capillary-gravity and an external electric forces. The infinitely deep fluid layer is assumed to be viscous, perfectly conducting and the flow to be incompressible. The…

Fluid Dynamics · Physics 2020-02-20 Matthew Hunt , Denys Dutykh