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Based on the generalized Langevin equation for the momentum of a Brownian particle a generalized asymptotic Einstein relation is derived. It agrees with the well-known Einstein relation in the case of normal diffusion but continues to hold…

Soft Condensed Matter · Physics 2015-06-23 Hyun Kyung Shin , Bongsik Choi , Peter Talkner , Eok Kyun Lee

We propose a unified diffusion-mobility relation which quantifies both quantum and classical levels of understanding on electron dynamics in ordered and disordered materials. This attempt overcomes the inability of classical Einstein…

Other Condensed Matter · Physics 2017-05-11 K. Navamani , Swapan K. Pati

In strongly interacting electron systems with low density and at low temperature the thermodynamic density of states is negative. It creates difficulties with understanding of the Einstein relation between conductivity and diffusion…

Strongly Correlated Electrons · Physics 2009-11-13 A. L. Efros

It is commonly believed that the current response of an electron fluid to a mechanical force (such as an electric field) or to a ``statistical force" (e.g., a gradient of chemical potential) are governed by a single linear transport…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Justin C. W. Song , Giovanni Vignale

Several recent experiments have reported an anomalous temperature dependence of the Coulomb drag effect in electron-hole bilayers. Motivated by these puzzling data, we study theoretically a low-density electron-hole bilayer, where electrons…

Mesoscale and Nanoscale Physics · Physics 2016-06-08 Dmitry K. Efimkin , Victor Galitski

Diffusive transport of a particle in spatially correlated random energy landscape having exponential density of states has been considered. We exactly calculate the diffusivity in the nondispersive quasi-equilibrium transport regime and…

Disordered Systems and Neural Networks · Physics 2018-02-14 S. V. Novikov

It is well known that the electronic thermal conductivity of clean compensated semimetals can be greatly enhanced over the electric conductivity by the availability of an ambipolar mechanism of conduction, whereby electrons and holes flow…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Mohammad Zarenia , Alessandro Principi , Giovanni Vignale

For low-density plasmas, the classical limit described by the Debye-H\"uckel theory is still considered as an appropriate description even though a clear experimental proof of this paradigm is lacking due to the problems in determining the…

Mesoscale and Nanoscale Physics · Physics 2022-03-02 Heinrich Stolz , Dirk Semkat , Rico Schwartz , Julian Heckötter , Marc Aßmann , Wolf-Dietrich Kraeft , Holger Fehske , Manfred Bayer

Recent computer simulation results [Barrat {\em et al.}, Physica A 334 (2004) 513] for granular mixtures subject to stochastic driving have shown the validity of the Einstein relation $\epsilon\equiv D/(T_0\lambda)=1$ between the diffusion…

Statistical Mechanics · Physics 2009-11-10 Vicente Garzo

Using the methods of computer modeling this scientific paper studies the special features of diffusion of the particles subjected to the external periodic force in the crystal lattice. The particle motion is described by a Langevin…

Statistical Mechanics · Physics 2011-11-04 I. G. Marchenko , I. I. Marchenko

We study the conductivity, susceptibility and diffusion of a strongly coupled quark gluon plasma from the holographic perspective. We calculate general expressions for these quantities in the presence of finite baryon density and show that…

High Energy Physics - Theory · Physics 2009-10-02 Javier Mas , Jonathan P. Shock , Javier Tarrio

The Einstein relation connecting the diffusion constant and the mobility is violated beyond the linear response regime. For a colloidal particle driven along a periodic potential imposed by laser traps, we test the recent theoretical…

Statistical Mechanics · Physics 2007-06-20 V. Blickle , T. Speck , C. Lutz , U. Seifert , C. Bechinger

Non-classical electron diffusion in crossed-field, low-temperature plasmas is measured experimentally. Laser-induced fluorescence and Thomson scattering are used to determine the inverse Hall parameter, a metric for cross-field transport,…

Plasma Physics · Physics 2024-04-01 Parker J. Roberts , Benjamin A. Jorns

We show that an analogue to the classical Einstein-de Haas effect can appear in ultracold dipolar Fermi gases. The anisotropic nature of dipole-dipole interactions can lead to a transfer of magnetization into orbital angular momentum.…

Quantum Gases · Physics 2017-01-31 Ulrich Ebling , Masahito Ueda

Quantum Monte Carlo simulations of a two-component Bose mixture of trapped dipolar atoms of identical masses and dipole moments, provide numerical evidence of de-mixing at low finite temperatures. De-mixing occurs as a consequence of…

Quantum Gases · Physics 2013-05-29 Piyush Jain , Massimo Boninsegni

A general expression is derived for the momentum diffusion constant of a small polarizable particle in blackbody radiation, and is shown to be closely related to the long-wavelength collisional decoherence rate for such a particle in a…

Quantum Physics · Physics 2022-04-26 Kanu Sinha , Peter W. Milonni

The correlation properties of the cold system consisting of the electron-hole plasma interacting with the exciton gas are analyzed. It is shown that the homogeneous state of the system is unstable and in the stationary state the densities…

Strongly Correlated Electrons · Physics 2011-11-10 V. S. Babichenko

The phenomenon of Bose-Einstein condensation is traditionally associated with and experimentally verified for low temperatures: either of nano-Kelvin scale for alkali atoms [1-3] or room temperatures for quasi-particles [4,5] or photons in…

Plasma Physics · Physics 2020-02-04 M. A. Prakapenia , G. V. Vereshchagin

The anisotropic diffusion of electrons with various rigidity and the anomalous conductivity of a collisionless plasma in the presence of Weibel-generated quasi-static turbulent and uniform external magnetic fields are examined. Using an…

We present systematic theoretical results on thermoelectric effects in semimetals based on the variational method of the linearized Boltzmann equation. Inelastic electron-hole scattering is known to play an important role in the unusual…

Strongly Correlated Electrons · Physics 2023-03-31 Keigo Takahashi , Hiroyasu Matsuura , Hideaki Maebashi , Masao Ogata
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