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In this paper, we derive the Euler and Navier-Stokes equations for electronic two-band systems in arbitrary dimension and with generic power-law dispersion relations. We focus on the hydrodynamic transport regime, where such systems offer a…

Strongly Correlated Electrons · Physics 2025-05-28 E. Di Salvo , P. Cosme , L. Fritz

Developing on a recent work on localized bubbles of ordinary relativistic fluids, we study the comparatively richer leading order surface physics of relativistic superfluids, coupled to an arbitrary stationary background metric and gauge…

High Energy Physics - Theory · Physics 2017-09-21 Jay Armas , Jyotirmoy Bhattacharya , Akash Jain , Nilay Kundu

Using super Hamiltonian formalism, we study the motion of particles whose dispersion relations are modified to incorporate Ho\v{r}ava -- Lifshitz type anisotropic scaling symmetry. We find the following as consequences of this modified…

High Energy Physics - Theory · Physics 2009-10-23 S. Kalyana Rama

We derive the second-order hydrodynamic equation and the microscopic formulae of the relaxation times as well as the transport coefficients systematically from the relativistic Boltzmann equation. Our derivation is based on a novel…

High Energy Physics - Phenomenology · Physics 2016-02-01 Kyosuke Tsumura , Yuta Kikuchi , Teiji Kunihiro

We consider 1+1 - dimensional non-homogeneous systems of hydrodynamic type that possess Lax representations with movable singularities. We present a construction, which provides a wide class of examples of such systems with arbitrary number…

Exactly Solvable and Integrable Systems · Physics 2015-06-05 A. V. Odesskii , V. V. Sokolov

We present a construction of a (d+2)-dimensional Ricci-flat metric corresponding to a (d+1)-dimensional relativistic fluid, representing holographically the hydrodynamic regime of a (putative) dual theory. We show how to obtain the metric…

High Energy Physics - Theory · Physics 2012-04-04 Geoffrey Compère , Paul McFadden , Kostas Skenderis , Marika Taylor

Relativistic thermodynamics is derived from kinetic equilibrium in a general frame. Based on a novel interpretation of Lagrange multipliers in the equilibrium state we obtain a generic stable but first order relativistic dissipative…

Nuclear Theory · Physics 2012-06-19 P. Ván , T. S. Biró

Linear fluctuating hydrodynamics is a useful and versatile tool for describing fluids, as well as other systems with conserved fields, on a mesoscopic scale. In one spatial dimension, however, transport is anomalous, which requires to…

Statistical Mechanics · Physics 2016-01-05 Herbert Spohn

Quantum integrable systems, such as the interacting Bose gas in one dimension and the XXZ quantum spin chain, have an extensive number of local conserved quantities that endow them with exotic thermalization and transport properties. We…

Statistical Mechanics · Physics 2018-02-21 Vir B. Bulchandani , Romain Vasseur , Christoph Karrasch , Joel E. Moore

Charge transport in channel-shaped 2D Dirac systems is studied employing the Boltzmann equation. The dependence of the resistivity on temperature and chemical potential is investigated. An accurate understanding of the influence of…

Mesoscale and Nanoscale Physics · Physics 2018-05-25 Oleksiy Kashuba , Björn Trauzettel , Laurens W. Molenkamp

The open problem of derivation of the relativistic Vlasov equation for the systems of charged particles moving with the velocities up to the speed of light and creating the electromagnetic field in accordance with the full set of the…

Plasma Physics · Physics 2022-04-26 Pavel A. Andreev

The relativistic hydrodynamical equations are being examined with the aim of extracting the quantum-mechanical equations (the relativistic Klein-Gordon equation and the Schr\"odinger equation in the non-relativistic limit). In both cases it…

General Physics · Physics 2015-10-12 Valeriy I. Sbitnev

We present a theory of thermoelectric transport in weakly disordered Weyl semimetals where the electron-electron scattering time is faster than the electron-impurity scattering time. Our hydrodynamic theory consists of relativistic fluids…

Strongly Correlated Electrons · Physics 2016-08-31 Andrew Lucas , Richard A. Davison , Subir Sachdev

With the help of a semi-classical kinetic theory, a new collision kernel is proposed, which simultaneously conserves the energy-momentum tensor and the spin tensor of a relativistic fluid of spin-1/2 particles irrespective of the frame and…

High Energy Physics - Phenomenology · Physics 2025-03-12 Samapan Bhadury

We extend the null background construction of [arXiv:1505.05677,arXiv:1509.04718] to include torsion and a conserved spin current, and use it to study gauge and gravitational anomalies in Galilean theories coupled to torsional Newton-Cartan…

High Energy Physics - Theory · Physics 2016-03-09 Akash Jain

We consider as a model of Weyl semimetal thermoelectric transport a $(3+1)$-dimensional charged, relativistic and relaxed fluid with a $U(1)_{V} \times U(1)_{A}$ chiral anomaly. We take into account all possible mixed energy, momentum,…

High Energy Physics - Theory · Physics 2024-02-15 Andrea Amoretti , Daniel K. Brattan , Luca Martinoia , Ioannis Matthaiakakis , Jonas Rongen

In three dimensions, we consider the Einstein-Maxwell Lagrangian dressed by a nonminimally coupled scalar field in New Massive Gravity. For this theory, we provide two families of electrically charged Lifshitz black holes where their metric…

High Energy Physics - Theory · Physics 2020-03-31 Moises Bravo-Gaete , María Montserrat Juárez-Aubry

Using the 3+1 formalism of general relativity we obtain the equations governing the dynamics of spherically symmetric spacetimes with arbitrary sources. We then specialize for the case of perfect fluids accompanied by a flow of interacting…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Marcelo Salgado

We calculate the Hall transport in a multiband systems with a dominant interband interaction between carriers having electron and hole character. We show that this situation gives rise to an unconventional scenario, beyond the Boltzmann…

Strongly Correlated Electrons · Physics 2012-08-28 L. Fanfarillo , E. Cappelluti , C. Castellani , L. Benfatto

The first order perturbations of the energy levels of a stationary hydrogen atom in static external gravitational field, with Schwarzschild metric, are investigated. The energy shifts are calculated for the relativistic 1S, 2S, 2P, 3S, 3P,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Zhen-Hua Zhao , Yu-Xiao Liu , Xi-Guo Li