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The Green-Kubo theory of thermal transport has long be considered incompatible with modern simulation methods based on electronic-structure theory, because it is based on such concepts as energy density and current, which are ill-defined at…

Statistical Mechanics · Physics 2018-08-20 Stefano Baroni , Riccardo Bertossa , Loris Ercole , Federico Grasselli , Aris Marcolongo

We revisit a model describing Seebeck effect on a weak link between two charge Kondo circuits, which has been proposed in the [Phys. Rev. B 97, 085403 (2018)]. We calculate the thermoelectric coefficients in the perturbation theory assuming…

Mesoscale and Nanoscale Physics · Physics 2022-10-25 T. K. T. Nguyen , M. N. Kiselev

We show that the asymmetric inter-particle interactions can induce rapid decay of the heat current correlation in one-dimensional momentum conserving lattices. When the asymmetry degree is appropriate, even exponential decay may arise. This…

Statistical Mechanics · Physics 2012-10-16 Shunda Chen , Yong Zhang , Jiao Wang , Hong Zhao

We investigate the properties of a harmonic chain in contact with a thermal bath at one end and subjected, at its other end, to a periodic force. The particles also undergo a random velocity reversal action, which results in a finite heat…

Mathematical Physics · Physics 2023-03-01 Tomasz Komorowski , Joel L. Lebowitz , Stefano Olla

We re-derive the expression for the heat current for a classical system subject to periodic boundary conditions and show that it can be written as a sum of two terms. The first term is a time derivative of the first moment of the system…

Statistical Mechanics · Physics 2025-05-16 Andrey Pereverzev

We measure the conductivity of neutral fermions in a cubic optical lattice. Using in-situ fluorescence microscopy, we observe the alternating current resultant from a single-frequency uniform force applied by displacement of a weak harmonic…

The paper revisits recent counterintuitive results on divergence of heat conduction coefficient in two-dimensional lattices. It was reported that in certain lattices with on-site potential, for which one-dimensional chain has convergent…

Statistical Mechanics · Physics 2016-03-23 A. V. Savin , V. Zolotarevskiy , O. V. Gendelman

In d-dimensional lattices of coupled quantum harmonic oscillators, we analyze the heat current caused by two thermal baths of different temperature, which are coupled to opposite ends of the lattice, with focus on the validity of Fourier's…

Quantum Physics · Physics 2013-05-14 A. Asadian , D. Manzano , M. Tiersch , H. J. Briegel

The Green-Kubo lattice thermal conductivity computed using the full classical heat current of a crystalline solid is compared with results obtained from the quadratic component of the heat current and from the commonly used Peierls heat…

Materials Science · Physics 2026-05-20 Andrey Pereverzev

Using a novel many-body approach, we report lattice dynamical properties of UO2 and PuO2 and uncover various contributions to their thermal conductivities. Via calculated Grueneisen constants, we show that only longitudinal acoustic modes…

Materials Science · Physics 2012-04-11 Quan Yin , Sergey Y. Savrasov

We investigate the mechanism of heat conduction in ordered and disordered harmonic onedimensional chains within the quantum mechanical Langevin method. In the case of the disordered chains we find indications for normal heat conduction…

Quantum Physics · Physics 2007-07-18 Christopher Gaul , Helmut Büttner

This paper consists of two parts. The first part proposes a new methodological framework within which the heat conductivity in 1D lattices can be studied. The total process of heat conductivity is decomposed into two contributions where the…

Chaotic Dynamics · Physics 2011-03-21 T. Yu. Astakhova , V. N. Likhachev , G. A. Vinogradov

Kubo formula is used to get the d.c conductance of a statistical ensemble of two-dimensional clusters of the square lattice in the presence of standard diagonal disorder, a uniform magnetic field and random magnetic fluxes. Working within a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. A. Verges

The expressions for average densities of currents and charges induced by a weak electromagnetic field in spatially inhomogeneous systems are obtained. The case of finite temperatures is considered. It is shown that average values are…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 I. G. Lang , L. I. Korovin , S. T. Pavlov

We examine numerically the full spatio-temporal correlation functions for all hydrodynamic quantities for the random collision model introduced recently. The autocorrelation function of the heat current, through the Kubo formula, gives a…

Statistical Mechanics · Physics 2009-11-10 J. M. Deutsch , Onuttom Narayan

Current can be pumped through a closed system by changing parameters (or fields) in time. Linear response theory (the Kubo formula) allows to analyze both the charge transport and the associated dissipation effect. We make a distinction…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Doron Cohen

We consider a chain composed of $N$ coupled harmonic oscillators in contact with heat baths at temperature $T_\ell$ and $T_r$ at sites 1 and $N$ respectively. The oscillators are also subjected to non-momentum conserving bulk stochastic…

Statistical Mechanics · Physics 2015-05-30 Cedric Bernardin , Venkateshan Kannan , Joel L. Lebowitz , Jani Lukkarinen

In equilibrium molecular dynamics, Einstein relation can be used to calculate the thermal conductivity. This method is equivalent to Green-Kubo relation and it does not require a derivation of an analytical form for the heat current.…

Chemical Physics · Physics 2016-08-14 Alper Kinaci , Justin B. Haskins , Tahir Çağın

We consider free lattice fermions subjected to a static bounded potential and a time- and space-dependent electric field. For any bounded convex region $\mathcal{R}\subset \mathbb{R}^{d}$ ($d\geq 1$) of space, electric fields $\mathcal{E}$…

Mathematical Physics · Physics 2016-11-24 J. -B. Bru , W. de Siqueira Pedra , C. Hertling

Bifurcation properties, stability behavior, dynamics, and the heat transfer of convection structures in a horizontal fluid layer that is driven away from thermal equilibrium by imposing a vertical temperature difference are compared with…

Pattern Formation and Solitons · Physics 2009-11-11 P. Matura , M. Luecke