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We report on the derivation of the heat transport equation for nonmetals using a quantum Markovian master equation in Lindblad form. We first establish the equations of motion describing the time variation of the on-site energy of atoms in…

Quantum Physics · Physics 2021-12-30 Yamen Hamdouni

We introduce a variant of the Banded Random Matrix ensemble and show, using detailed numerical analysis and theoretical arguments, that the phonon heat current in disordered quasi-one-dimensional lattices obeys a one-parameter scaling law.…

Disordered Systems and Neural Networks · Physics 2013-02-07 Joshua D. Bodyfelt , Mei C. Zheng , Ragnar Fleischmann , Tsampikos Kottos

We study the energy current in a model of heat conduction, first considered in detail by Casher and Lebowitz. The model consists of a one-dimensional disordered harmonic chain of n i.i.d. random masses, connected to their nearest neighbors…

Mathematical Physics · Physics 2015-05-18 O. Ajanki , F. Huveneers

The concept of thermal ratchets is extended to the system governed by quantum mechanics. We study a tight-binding model with an asymmetric periodic potential contacting with a heat bath under an external oscillating field as a specific…

Statistical Mechanics · Physics 2009-10-30 Satoshi Yukawa , Macoto Kikuchi , Gen Tatara , Hiroshi Matsukawa

We study the propagation of different types of correlations through a quantum bus formed by a chain of coupled harmonic oscillators. This includes steering, entanglement, mutual information, quantum discord, and Bell-like nonlocality. The…

Quantum Physics · Physics 2016-07-20 F. Nicacio , F. L. Semião

The general theory of simple transport processes between quantum mechanical reservoirs is reviewed and extended. We focus on thermoelectric phenomena, involving exchange of energy and particles. Entropy production and Onsager relations are…

Mathematical Physics · Physics 2007-05-23 Juerg Froehlich , Marco Merkli , Daniel Ueltschi

We analytically study heat conduction in a chain with interparticle interaction V(x)=lambda[1-cos(x)] and harmonic on-site potential. We start with each site of the system connected to a Langevin heat bath, and investigate the case of small…

Statistical Mechanics · Physics 2007-05-23 Emmanuel Pereira , Ricardo Falcao

Chains of particles coupled through anharmonic interactions and subject to non-Gaussian baths can exhibit paradoxical outcomes such as heat currents flowing from colder to hotter reservoirs. Aiming to explore the role of generic…

Statistical Mechanics · Physics 2019-09-18 E. H. Colombo , L. A. C. A. Defaveri , C. Anteneodo

We investigate the second-order nonlinear electronic thermal transport induced by temperature gradient. We develop the quantum kinetic theory framework to describe thermal transport in presence of a temperature gradient. Using this, we…

Mesoscale and Nanoscale Physics · Physics 2023-07-05 Harsh Varshney , Kamal Das , Pankaj Bhalla , Amit Agarwal

We investigate heat transport through a one-dimensional open coupled scalar field theory, depicted as a network of harmonic oscillators connected to thermal baths at the boundaries. The non-Hermitian dynamical matrix of the network…

Statistical Mechanics · Physics 2024-10-28 T. R. Vishnu , Dibyendu Roy

We study heat transport in a nonequilibrium steady state of a quantum interacting spin chain. We provide clear numerical evidence of the validity of Fourier law. The regime of normal conductivity is shown to set in at the transition to…

Statistical Mechanics · Physics 2007-05-23 Carlos Mejia-Monasterio , Tomaz Prosen , Giulio Casati

We consider chains consisting of several identical subsystems weakly coupled by various types of next neighbor interactions. At both ends the chain is coupled to a respective heat bath with different temperature modeled by a Lindblad…

Statistical Mechanics · Physics 2007-05-23 Mathias Michel , Jochen Gemmer , Guenter Mahler

We consider the stationary states of a chain of $n$ anharmonic coupled oscillators, whose deterministic hamiltonian dynamics is perturbed by random independent sign change of the velocities (a random mechanism that conserve energy). The…

Statistical Mechanics · Physics 2015-05-28 Cedric Bernardin , Stefano Olla

We consider heat transport in one-dimensional harmonic chains attached at its ends to Langevin heat baths. The harmonic chain has mass impurities where the separation $d$ between any two successive impurities is randomly distributed…

Disordered Systems and Neural Networks · Physics 2019-11-05 I. F. Herrera-Gonzalez , J. A. Mendez-Bermudez

We study time-dependent heat transport in systems composed of a resonant level periodically forced with an external power source and coupled to a fermionic continuum. This simple model contains the basic ingredients to understand time…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 Maria Florencia Ludovico , Jong Soo Lim , Michael Moskalets , Liliana Arrachea , David Sanchez

Translation-invariant low-dimensional systems are known to exhibit anomalous heat transport. However, there are systems, such as the coupled-rotor chain, where translation invariance is satisfied, yet transport remains diffusive. It has…

Statistical Mechanics · Physics 2023-07-12 Piero Olla

Transport through a Hubbard chain of size N (=1,2,3,...) connected to reservoirs is studied at T = 0 in an electron-hole symmetric case based on the second-order perturbation theory in U. The result shows a typical even-odd property…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Akira Oguri

We provide a stochastic fractional diffusion equation description of energy transport through a finite one-dimensional chain of harmonic oscillators with stochastic momentum exchange and connected to Langevian type heat baths at the…

Statistical Mechanics · Physics 2019-05-22 Aritra Kundu , Cédric Bernardin , Keji Saito , Anupam Kundu , Abhishek Dhar

Controlling the transmission of electrical current using a quantum point contact constriction paved a way to a large variety of experiments in mesoscopic physics. The increasing interest in heat transfer in such systems fosters questions…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 Amir Rosenblatt , Fabien Lafont , Ivan Levkivskyi , Ron Sabo , Itamar Gurman , Daniel Banitt , Moty Heiblum , Vladimir Umansky

In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long--time correlation of the corresponding currents. The effective asymptotic behaviour is addressed with reference to the problem of heat…

Statistical Mechanics · Physics 2009-11-10 Stefano Lepri , Roberto Livi , Antonio Politi
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