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In this paper, we are interested in the dynamics of charged particles interacting with the incompressible viscous flow. More precisely, we consider the Vlasov-Poisson or Vlasov-Poisson-Fokker-Planck equation coupled with the incompressible…

Analysis of PDEs · Mathematics 2021-01-05 Young-Pil Choi , Jinwook Jung

In electrochemical systems, an understanding of the underlying transport processes is required to aid in their better design. This includes knowledge of possible near-electrode convective mixing that can enhance measured currents. Here, for…

Fluid Dynamics · Physics 2021-09-15 Nakul Pande , Jeffery A. Wood , Guido Mul , Detlef Lohse , Bastian T. Mei , Dominik Krug

We develop a theory of magnetoresistance of two-dimensional electron systems in a smooth disorder potential in the hydrodynamic regime. Our theory applies to two-dimensional semiconductor structures with strongly correlated carriers when…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 Alex Levchenko , Hong-Yi Xie , A. V. Andreev

Generalized hydrodynamic theory, which does not rest on the requirement of a local equilibrium, is derived in the long-wave limit of a kinetic equation. The theory bridges the whole frequency range between the quasistatic (Navier-Stokes)…

Soft Condensed Matter · Physics 2009-10-31 I. V. Tokatly , O. Pankratov

Electron hydrodynamics is an emerging framework that describes dynamics of interacting electron systems as conventional fluids. While evidence for hydrodynamic-like transport is reported in a variety of two-dimensional materials, precise…

Mesoscale and Nanoscale Physics · Physics 2025-03-25 Yihang Zeng , Haoyu Guo , Olivia M. Ghosh , Kenji Watanabe , Takashi Taniguchi , Leonid S. Levitov , Cory R. Dean

Electron hydrodynamics arises when momentum-relaxing scattering processes are slow compared to momentum-conserving ones. While the microscopic details necessary to satisfy this condition are material-specific, experimentally accessible…

Materials Science · Physics 2022-04-14 Georgios Varnavides , Adam S. Jermyn , Polina Anikeeva , Prineha Narang

Small perturbations of the homogeneous cooling state (HCS) for a low density granular gas are described by means of the linearized Boltzmann equation. The spectrum of the generator for this dynamics is shown to contain points corresponding…

Statistical Mechanics · Physics 2009-11-11 J. Javier Brey , J. W. Dufty

The competition of depletion attractions and longer-ranged repulsions between colloidal particles in colloid-polymer mixtures leads to the formation of heterogeneous gel-like structures. For instance, gel networks, i.e., states where the…

Soft Condensed Matter · Physics 2021-06-24 Matthias Gimperlein , Michael Schmiedeberg

We develop an analytical theory to explain the experimentally-observed morphological transitions of giant vesicles induced by AC electric fields (1). The model treats the inner and suspending media as lossy dielectrics, while the membrane…

Biological Physics · Physics 2015-05-13 Petia Vlahovska , Ruben Serral Gracia , Said Aranda , Rumiana Dimova

In ultra-pure materials electrons may exhibit a collective motion similar to the hydrodynamic flow of a viscous fluid, the phenomenon with far reaching consequences in a wide range of many body systems from black holes to high-temperature…

Mesoscale and Nanoscale Physics · Physics 2020-06-01 Sven Danz , Boris N. Narozhny

Hydrodynamics is a general theoretical framework for describing the long-time large-distance behaviors of various macroscopic physical systems, with its equations based on conservation laws such as energy-momentum conservation and charge…

Nuclear Theory · Physics 2022-12-06 Duan She , Anping Huang , Defu Hou , Jinfeng Liao

We study the Langevin dynamics of flux lines of high--T$_c$ superconductors in the presence of random quenched pinning. The hydrodynamic theory for the densities is derived by starting with the microscopic model for the flux-line liquid.…

Condensed Matter · Physics 2009-10-22 Leo Radzihovsky , Erwin Frey

Hydrodynamics provides a concise but powerful description of long-time and long-distance physics of correlated systems out of thermodynamic equilibrium. Here we construct hydrodynamic equations for nonrelativistic particles with a…

Quantum Gases · Physics 2018-12-27 Keisuke Fujii , Yusuke Nishida

We present a 2D lattice model of water to study the effects of ion hydration on the properties of water. We map the water molecules as lattice particles consisting of a single Oxygen at the center of a site and two Hydrogen atoms on each…

Soft Condensed Matter · Physics 2015-11-12 S. Dutta , Yongjin Lee , Y. S. Jho

The similarity between electromagnetics and hydrodynamics has been noticed for a long time. Maxwell developed an analogy, where the magnetic field and the vector potential in electromagnetics are compared to the vorticity and velocity in…

Fluid Dynamics · Physics 2023-01-13 Kai-Xin Hu

A water monolayer squeezed between two solid planes experiences strong out-of-plane confinement effects while expanding freely within the plane. As a consequence, the transport of such two-dimensional water combines hydrodynamic and…

Materials Science · Physics 2023-07-06 Maxim Trushin , Alexandra Carvalho , A. H. Castro Neto

Using modified Arrhenius approximations, the activation energies of water, alcohols, and hexane structure rearrangement reactions responsible for temperature dependences of their dynamic and dielectric characteristics were determined. The…

Chemical Physics · Physics 2021-01-19 Alexander Kholmanskiy

In this work, the electrohydrodynamics of a pair of leaky dielectric droplets on a solid substrate is investigated by the phase-field-based lattice Boltzmann method. Different from a pair of suspended droplets that may coalesce or separate,…

Fluid Dynamics · Physics 2025-08-15 Jiang Peng , Xi Liu , Zhenhua Chai , Changsheng Huang , Xiufang Chen

Using classical as well as ab-initio molecular dynamics simulations, we calculate the frequency-dependent shear viscosity of pure water and water-glycerol mixtures. In agreement with recent experiments, we find deviations from…

In the current density functional theory of linear and nonlinear time-dependent phenomena, the treatment of exchange and correlation beyond the level of the adiabatic local density approximation is shown to lead to the appearance of…

Condensed Matter · Physics 2009-10-30 G. Vignale , C. A. Ullrich , S. Conti