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By making use of a covariant formulation of the chiral kinetic theory in the relaxation-time approximation, we derive the first-order dissipative hydrodynamics equations for a charged chiral plasma with background electromagnetic fields. We…

High Energy Physics - Theory · Physics 2019-02-06 D. O. Rybalka , E. V. Gorbar , I. A. Shovkovy

Optical response of free-electron gas leads to inherent nonlinear optical behaviour of nanostructured plasmonic materials enabled via both strong local field enhancements and inherent complex electron dynamics. We present a comprehensive…

Hydrodynamics is shown to induce non-Hermitian topological phenomena in ordinary, passive soft matter. This is demonstrated for the first time by subjecting a 2D elastic lattice to a low-Reynolds viscous flow. The interplay of hydrodynamics…

Soft Condensed Matter · Physics 2021-08-11 Tsvi Tlusty

The equations of continuum hydrodynamics can be derived from the Boltzmann equation, which describes rarefied gas dynamics at the kinetic level, by means of the Chapman-Enskog expansion. This expansion assumes a small Knudsen number, and as…

Statistical Mechanics · Physics 2011-10-07 Carlos Escudero

We consider the dominant equations for the motion of the non-Newtonian fluid in a domain from an energetic point of view. We apply our energetic variational approaches and the first law of thermodynamics to derive the generalized…

Mathematical Physics · Physics 2018-11-14 Hajime Koba , Kazuki Sato

We study hydrodynamic and ballistic transport regimes through nonlocal resistance measurements and high-resolution kinetic simulations in a mesoscopic structure on a high-mobility two-dimensional electron system in a GaAs/AlGaAs…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Adbhut Gupta , J. J. Heremans , Gitansh Kataria , Mani Chandra , S. Fallahi , G. C. Gardner , M. J. Manfra

Within generalized linear response theory, an expression for the dielectric function is derived which is consistent with standard approaches to the electrical dc conductivity. Explicit results are given for the first moment Born…

Plasma Physics · Physics 2008-02-03 G. Roepke

We introduce an effective action for non-dissipative magnetohydrodynamics. A crucial guiding principle is the generalized global symmetry of electrodynamics, which naturally leads to introducing a "dual photon" as the degree of freedom…

High Energy Physics - Theory · Physics 2018-11-13 Paolo Glorioso , Dam Thanh Son

We outline a general theory for the analysis of flow-distributed standing and travelling wave patterns in one-dimensional, open plug-flows of oscillatory chemical media. We treat both the amplitude and phase dynamics of small and…

Pattern Formation and Solitons · Physics 2009-11-10 Patrick N. McGraw , Michael Menzinger

In recent work, we have proposed a theory for the derivation of an exact nonlinear dispersion relation for elastic wave propagation which here we consider for a thin rod (linearly nondispersive) and a thick rod (linearly dispersive). The…

Pattern Formation and Solitons · Physics 2023-12-19 Romik Khajehtourian , Mahmoud I. Hussein

Motion of an ultra-relativistic perfect fluid in space-time with the Kasner metrics is investigated by the Hamiltonian method. It is found that in the limit of small times a tendency takes place to formation of strong inhomogeneities in…

General Relativity and Quantum Cosmology · Physics 2014-11-17 V. P. Ruban , D. I. Podolsky

Understanding Dirac-like Fermions has become an imperative in modern condensed matter sciences: all across its research frontier, from graphene to high T$_c$ superconductors to the topological insulators and beyond, various electronic…

Mesoscale and Nanoscale Physics · Physics 2014-03-25 Oskar Vafek , Ashvin Vishwanath

A thermodynamic analysis of weakly nonlocal non-relativistic fluids is presented under the assumption that an additional scalar field also contributes to the dynamics. The most general evolution of this field and the constitutive relations…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Mátyás Szücs , Péter Ván

Disordered hyperuniform structures are locally random while uniform like crystals at large length scales. Recently, an exotic hyperuniform fluid state was found in several non-equilibrium systems, while the underlying physics remains…

Soft Condensed Matter · Physics 2019-11-14 Qunli Lei , Ran Ni

We study hydrodynamic electron transport in Corbino graphene devices. Due to the irrotational character of the flow, the forces exerted on the electron liquid are expelled from the bulk. We show that in the absence of Galilean invariance,…

Mesoscale and Nanoscale Physics · Physics 2022-03-11 Songci Li , Alex Levchenko , A. V. Andreev

We derive a hydrodynamical description of the eigenvalues of the chiral Dirac spectrum in the vacuum and in the large $N$ (volume) limit. The linearized hydrodynamics supports sound waves. The stochastic relaxation of the eigenvalues is…

High Energy Physics - Phenomenology · Physics 2015-12-23 Yizhuang Liu , Piotr Warchol , Ismail Zahed

The problem of the interplay between normal and anomalous scaling in turbulent systems stirred by a random forcing with a power law spectrum is addressed. We consider both linear and nonlinear systems. As for the linear case, we study…

Chaotic Dynamics · Physics 2009-11-10 L. Biferale , M. Cencini , A. S. Lanotte , M. Sbragaglia , F. Toschi

We consider electronic transport accross one-dimensional heterostructures described by the Dirac equation. We discuss the cases where both the velocity and the mass are position dependent. We show how to generalize the Dirac Hamiltonian in…

Mesoscale and Nanoscale Physics · Physics 2009-02-02 N. M. R. Peres

We construct nonlinear extensions of Dirac's relativistic electron equation that preserve its other desirable properties such as locality, separability, conservation of probability and Poincar\'e invariance. We determine the constraints…

High Energy Physics - Theory · Physics 2009-02-27 Wei-Khim Ng , Rajesh R. Parwani

In this paper, two-dimensional periodic capillary-gravity waves travelling under the effect of a vertical electric field are considered. The full system is a nonlinear, two-layered and free boundary problem. The interface dynamics arises…

Analysis of PDEs · Mathematics 2024-04-08 Dai Guowei , Xu Fei , Zhang Yong