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We derive a relationship for the electric field dependent ionic conductivity in terms of fluctuations of time integrated microscopic variables. We demonstrate this formalism with molecular dynamics simulations of solutions of differing…

统计力学 · 物理学 2020-05-27 Dominika Lesnicki , Chloe Y. Gao , Benjamin Rotenberg , David T. Limmer

We examine 2D electron transport through a long narrow channel driven by an external electric field in presence of diffusive boundary scattering. At zero temperature, we derive an analytical solution of the transition from ballistic to…

介观与纳米尺度物理 · 物理学 2024-10-10 Philipp Heilmann , Pavlo V. Pyshkin , Björn Trauzettel

The Einstein relation describes the response of a diffusing particle to a small constant external force. It states that, as the force tends to zero, the ratio of the limiting velocity to the force magnitude converges to the diffusivity…

概率论 · 数学 2026-05-26 Ahmed Bou-Rabee , Ruizhe Xu

We investigate the coupled dynamics of concentration and charge in asymmetric 1:1 electrolytes, focusing on the interplay between diffusion asymmetry and external electric fields. Using Brownian dynamics simulations and linearized…

软凝聚态物质 · 物理学 2026-01-22 Thê Hoang Ngoc Minh , Sleeba Varghese , Benjamin Rotenberg

We develop a new unified theoretical approach enabling us to non-perturbatively study the effect of electron-electron interactions on weak localization in arbitrary arrays of quantum dots. Our model embraces (i) weakly disordered conductors…

介观与纳米尺度物理 · 物理学 2008-07-22 D. Golubev , A. Zaikin

The electric current conservation in a two-dimensional quantum wire under a time dependent field is investigated. Such a conservation is obtained as the global density of states contribution to the emittance is balanced by the contribution…

凝聚态物理 · 物理学 2009-10-28 J. Wang , Q. R. Zheng , H. Guo

We analyze the density functional theory (DFT) description of weak interactions by employing diffusion and reptation quantum Monte Carlo (QMC) calculations, for a set of benzene-molecule complexes. While the binding energies depend…

材料科学 · 物理学 2015-05-14 Yosuke Kanai , Jeffrey C. Grossman

We use the Bogoliubov theory of Bose-Einstein condensation to study the properties of dipolar particles (atoms or molecules) confined in a uniform two-dimensional geometry at zero temperature. We find equilibrium solutions to the dipolar…

量子气体 · 物理学 2012-06-08 Andrew G. Sykes , Christopher Ticknor

Motivated by the considerable importance of material properties in modern condensed matter physics research, and using techniques of the $N_{e}$ -electron systems in terms of the electron density $n_{\sigma e}\left( r\right) $ needed to…

材料科学 · 物理学 2024-07-19 A. Belhaj , S. E. Ennadifi

We consider the problem of electron transport across a quasi-one-dimensional disordered multiply-scattering medium, and study the statistical properties of the electron density inside the system. In the physical setup that we contemplate,…

无序系统与神经网络 · 物理学 2020-01-29 Pier A. Mello , Miztli Yépez

The electron-positive fermion gas in three dimensions and $T=0$ is modeled as two independent fermion gases interacting via the coulomb interaction. The main advantage of the simple model is that all existing results from the electron gas…

超导电性 · 物理学 2024-11-27 Carl A. Kukkonen

Based on the Schrodinger equation, exact expressions for the non-relativistic particle energy in the local external field and the external field potential are derived as inhomogeneous density functionals. On this basis, it is shown that,…

统计力学 · 物理学 2011-03-24 V. B. Bobrov , S. A. Trigger

Reporting extensions of a recently developed approach to density functional theory with correct long-range be-havior (Phys. Rev. Lett. 94, 043002 (2005)). The central quantities are a splitting functional gamma[n] and a complementary…

材料科学 · 物理学 2017-09-13 Ester Livshits , Roi Baer

We present an accurate local density-functional for electronic-structure calculations within the density functional theory (DFT). The functional is derived by analyzing the structure of the standard perturbative expansion of the correlation…

材料科学 · 物理学 2024-11-28 Mario Benites , Angel Rosado , Efstratios Manousakis

Recently, Ryu et al. showed that two broadened bands connected by a set of four Einstein-coefficient spectra for stimulated and spontaneous single-photon transitions will obey detailed balance at equilibrium if the spectra satisfy…

化学物理 · 物理学 2026-03-12 Jisu Ryu , David M. Jonas

A critical challenge for density functional theory (DFT) in practice is its limited ability to treat static electron correlation, leading to errors in its prediction of charges, multiradicals, and reaction barriers. Recently, we combined…

化学物理 · 物理学 2024-11-05 Daniel Gibney , Jan-Niklas Boyn , David A. Mazziotti

We consider heat transfer in one-dimensional systems with long-range interactions. It is known that typical short-range interacting systems shows anomalous behavior in heat transport when total momentum is conserved, whereas…

统计力学 · 物理学 2020-05-04 Shuji Tamaki , Keiji Saito

We obtain hydrodynamic descriptions of a broad class of conserved-mass transport processes on a ring. These processes are governed by chipping, diffusion and coalescence of masses, where microscopic probability weights in their…

统计力学 · 物理学 2017-07-06 Arghya Das , Anupam Kundu , Punyabrata Pradhan

We investigate the density large deviation function for a multidimensional conservation law in the vanishing viscosity limit, when the probability concentrates on weak solutions of a hyperbolic conservation law conservation law. When the…

统计力学 · 物理学 2018-03-14 Julien Barré , Cedric Bernardin , Raphaël Chetrite

The condensation energy of the homogeneous electron gas is calculated within the density functional theory for superconductors. Purely electronic considerations include the exchange energy exactly and the correlation energy on a level of…

超导电性 · 物理学 2013-04-02 M. Wierzbowska , J. W. Krogh
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