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Related papers: Flow bistability in non-Newtonian electron fluid

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Consider the flow of a thin layer of non-Newtonian fluid over a solid surface. I model the case of a viscosity that depends nonlinearly on the shear-rate; power law fluids are an important example, but the analysis here is for general…

Dynamical Systems · Mathematics 2009-11-13 A. J. Roberts

In metallic samples of small enough size and sufficiently strong momentum-conserving scattering, the viscosity of the electron gas can become the dominant process governing transport. In this regime, momentum is a long-lived quantity whose…

Strongly Correlated Electrons · Physics 2017-06-07 Thomas Scaffidi , Nabhanila Nandi , Burkhard Schmidt , Andrew P. Mackenzie , Joel E. Moore

Strongly interacting electrons can move in a neatly coordinated way, reminiscent of the movement of viscous fluids. Here we show that in viscous flows interactions facilitate transport, allowing conductance to exceed the fundamental…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 Haoyu Guo , Ekin Ilseven , Gregory Falkovich , Leonid Levitov

In highly viscous electron systems such as, for example, high quality graphene above liquid nitrogen temperature, a linear response to applied electric current becomes essentially nonlocal, which can give rise to a number of new and…

Mesoscale and Nanoscale Physics · Physics 2016-10-14 Francesco M. D. Pellegrino , Iacopo Torre , Andre K. Geim , Marco Polini

We develop the theory of hydrodynamic electron transport in a long-range disorder potential for conductors in which the underlying electron liquid lacks Galilean invariance. For weak disorder, we express the transport coefficients of the…

Mesoscale and Nanoscale Physics · Physics 2020-08-19 Songci Li , Alex Levchenko , A. V. Andreev

Materials with strongly-correlated electrons exhibit interesting phenomena such as metal-insulator transitions and high-temperature superconductivity. In stark contrast to ordinary metals, electron transport in these materials is thought to…

Strongly Correlated Electrons · Physics 2019-11-19 J. Gooth , F. Menges , C. Shekhar , V. Süß , N. Kumar , Y. Sun , U. Drechsler , R. Zierold , C. Felser , B. Gotsmann

Quantum-critical states of diverse strongly correlated systems are predicted to feature universal collision-dominated transport resembling that of viscous fluids. However, investigation of these phenomena has been hampered by the lack of…

Mesoscale and Nanoscale Physics · Physics 2016-05-20 Leonid Levitov , Gregory Falkovich

We investigate the dynamics of spin-nonequilibrium electron systems in the hydrodynamic flow regime, when the normal scattering processes, which conserve the total quasi-momentum of the system of electrons and quasi-particles that interact…

Mesoscale and Nanoscale Physics · Physics 2013-10-17 R. N. Gurzhi , A. N. Kalinenko , A. I. Kopeliovich , P. V. Pyshkin , S. B. Rutkevich , A. V. Yanovsky , A. N. Yashin

We report evidence of irregular unsteady flow of two-dimensional polymer solutions in the absence of inertia in cross-slot geometry using numerical simulations of Oldroyd-B model. By exploring the transition to time-dependent flow versus…

Soft Condensed Matter · Physics 2021-02-10 Dário Oliveira Canossi , Gilmar Mompean , Stefano Berti

We present a hydrodynamic theory for electron-hole magnetotransport in graphene incorporating carrier-population imbalance, energy, and momentum relaxation processes. We focus on the electric response and find that the carrier and energy…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Hong-Yi Xie , Alex Levchenko

Simulations are performed to investigate turbulent properties of nonlinearly interacting two-dimensional (2D) magnetic electron drift vortex (MEDV) modes in a nonuniform unmagnetized plasma. The relevant nonlinear equations governing the…

Plasma Physics · Physics 2015-05-13 Dastgeer Shaikh , P. K. Shukla

We model the flow of a bi-viscous non-Newtonian fluid in a porous medium by a square lattice where the links obey a piece-wise linear constitutive equation. We find numerically that the flow regime where the network transitions from all…

Fluid Dynamics · Physics 2019-04-10 Laurent Talon , Alex Hansen

In a recent paper [1] the scattering and transport of excess electrons in liquid argon in the hydrodynamic regime was investigated, generalizing the seminal works of Lekner and Cohen [2,3] with modern scattering theory techniques and…

Computational Physics · Physics 2017-10-02 G. J. Boyle , D. G. Cocks , W. J. Tattersall , R. P. McEachran , R. D. White

Hydrodynamic electron transport arises when carrier kinetics are dominated by interelectron collisions rather than the relaxation of momentum out of the electron system. In recent years, signatures of electron hydrodynamics have been…

We report on non-linear transport phenomena at high filling factor and DC current-induced electronic hydrodynamics in an ultra-high mobility (mu=20x10^6 cm^2/Vs) two-dimensional electron gas in a narrow (15 micron wide) GaAs/AlGaAs Hall bar…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Zitong Wang , Michael Hilke , Norm Fong , Guy Austing , Sergei Studenikin , Ken West , Loren Pfeiffer

We investigate the dynamics of spin-nonequilibrium electron systems for the case when normal electron collisions prevail over the other scattering processes and the "hydrodynamic flow" regime is realized. The hydrodynamic equations for the…

Mesoscale and Nanoscale Physics · Physics 2011-09-12 R. N. Gurzhi , A. N. Kalinenko , A. I. Kopeliovich , P. V. Pyshkin , A. V. Yanovsky

We study two-dimensional electron systems in the hydrodynamic regime. We show that a geometrical Berry curvature modifies the effective Navier-Stokes equation for viscous electron flow in topological materials. For small electric fields,…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Eddwi H. Hasdeo , Johan Ekström , Edvin G. Idrisov , Thomas L. Schmidt

In the present paper which is a sequel to [N.B. Volkov and A.M. Iskoldsky The dynamics of vortex structures and states of current: 1;[1]], the dynamics of non-equilibrium phase transitions and states of current in electrophysical systems…

chao-dyn · Physics 2008-02-03 N. B. Volkov , A. M. Iskoldsky

Nonlinear electrokinetic phenomena, where electrically driven fluid flows depend nonlinearly on the applied voltage, are commonly encountered in aqueous suspensions of colloidal particles. A prime example is the induced-charge…

Soft Condensed Matter · Physics 2024-11-27 Zhanwen Wang , Michael J. Miksis , Petia M. Vlahovska

In novel ultra-pure materials electrons can form a viscous fluid, which is fundamentally different by its dynamics from the electron gas in ordinary conductors with significant density of defects. The shape of the non-stationary flow of…

Mesoscale and Nanoscale Physics · Physics 2022-07-28 A. N. Afanasiev , P. S. Alekseev , A. A. Danilenko , A. A. Greshnov , M. A. Semina