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In these lecture notes, we review recent progress in the study of the stochastic heat equation and its discrete analogue, the directed polymer model, in spatial dimension 2. It was discovered that a phase transition emerges on an…

Probability · Mathematics 2026-05-27 Francesco Caravenna , Rongfeng Sun , Nikos Zygouras

Using quantum gas microscopy we study the late-time effective hydrodynamics of an isolated cold-atom Fermi-Hubbard system subject to an external linear potential (a "tilt"). The tilt is along one of the principal directions of the…

A model-based description of the scaling and radial location of turbulent fluctuations in turbulent pipe flow is presented and used to illuminate the scaling behaviour of the very large scale motions. The model is derived by treating the…

Fluid Dynamics · Physics 2010-12-06 B. J. McKeon , A. S. Sharma

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

In this article, effects of heat transfer on MHD blood flow through a stenosed inclined porous artery with heat source have been investigated. The viscosity of the blood is assumed to be varying radially with hematocrit throughout the…

Fluid Dynamics · Physics 2018-05-31 Bhavya Tripathi , Bhupendra Kumar Sharma

We develop a two-fluid model (TFM) for heat transfer in dense non-Brownian suspensions. Specifically, we propose closure relations for the inter-phase heat transfer coefficient and the thermal diffusivity of the particle phase based on…

Fluid Dynamics · Physics 2021-11-05 Pranay P. Nagrani , Federico Municchi , Amy M. Marconnet , Ivan C. Christov

We use molecular dynamics simulations in two dimensions to investigate the possibility that a core-softened potential can reproduce static and dynamic anomalies found experimentally in liquid water: (i) the increase in specific volume upon…

Soft Condensed Matter · Physics 2009-10-31 A. Scala , M. Reza Sadr-Lahijany , N. Giovambattista , S. V. Buldyrev , H. E. Stanley

We present the results of a variational calculation of the frequencies of the low-lying Landau two-fluid hydrodynamic modes in a trapped Fermi superfluid gas at unitarity. Landau's two-fluid hydrodynamics is expected to be the correct…

Other Condensed Matter · Physics 2008-12-12 Edward Taylor , Hui Hu , Xia-Ji Liu , Allan Griffin

We study a holographic model of a relativistic quantum system with a global U(1) symmetry, at non-zero temperature and density. When the temperature falls below a critical value, we find a second-order superfluid phase transition with…

High Energy Physics - Theory · Physics 2009-11-13 C. P. Herzog , P. K. Kovtun , D. T. Son

Results of direct numerical simulations (DNS) of porous-wall turbulent flows in open channels with conjugate heat transfer are reported in this work. For the conductive porous walls considered here, the change in heat transfer is not…

Fluid Dynamics · Physics 2025-07-15 Seyed Morteza Habibi Khorasani , Geert Brethouwer , Shervin Bagheri

The superfluid density of overdoped La$_{2-x}$Sr$_x$CuO$_4$ thin films of high quality have been measured with Tc (defined by the onset of the Meissner effect) from 5.1 to 41.6 K by Bosovic et al. Given this Tc the superfluid density shows…

Superconductivity · Physics 2021-05-11 T. Schneider

Flow patterns and heat transfer inside mini twisted oval tubes (TOTs) heated by constant-temperature walls are numerically investigated. Different configurations of tubes are simulated using water as the working fluid with…

Fluid Dynamics · Physics 2018-11-07 Amin Ebrahimi , Ehsan Roohi

The objective of this work is to investigate the unexplored laminar-to-turbulent transition of a heated flat-plate boundary layer with a fluid at supercritical pressure. Two temperature ranges are considered: a subcritical case, where the…

Contrary to common assumptions, a transcritical domain exists during the early times of liquid hydrocarbon fuel injection at supercritical pressure. A sharp two-phase interface is sustained before substantial heating of the liquid. Thus,…

Fluid Dynamics · Physics 2024-01-17 Jordi Poblador-Ibanez , William Sirignano , Fazle Hussain

We compare the Kurganov-Tadmor (KT) two-dimensional second order semi-discrete central scheme in dimension by dimension formulation with a new two-dimensional approach introduced here and applied in numerical simulations for two-phase,…

Numerical Analysis · Mathematics 2008-04-05 F. Furtado , F. Pereira , S. Ribeiro

The flow in a shock tube is extremely complex with dynamic multi-scale structures of sharp fronts, flow separation, and vortices due to the interaction of the shock wave, the contact surface, and the boundary layer over the side wall of the…

Fluid Dynamics · Physics 2018-01-17 Guangzhao Zhou , Kun Xu , Feng Liu

Heated pipe flow is widely used in thermal engineering applications, but the presence of buoyancy force can cause intermittency, or multiple flow states at the same parameter values. Such changes in the flow lead to substantial changes in…

Fluid Dynamics · Physics 2025-01-22 Shijun Chu , Elena Marensi , Ashley P. Willis

This study explores the effects of a non-conductive gas layer flowing concurrently with a conductive liquid on the two-phase flow characteristics in wide horizontal ducts under a constant vertical magnetic field. To this end, analytical…

Fluid Dynamics · Physics 2025-06-25 Ilya Barmak , Subham Pal , Alexander Gelfgat , Neima Brauner

Due to their nature, using shear thickening fluids (STFs) in engineering applications has sparked an interest in developing energy-dissipating systems, such as damping devices or shock absorbers. The Rheinforce technology allows the design…

Fluid Dynamics · Physics 2023-12-27 Miguel Montenegro , Francisco J. Galindo-Rosales

Two-phase outflows refer to situations where the interface formed between two immiscible incompressible fluids passes through open portions of the domain boundary. We present in this paper several new forms of open boundary conditions for…

Fluid Dynamics · Physics 2014-12-31 S. Dong , X. Wang
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