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Effects of collective modes on thermoelectric properties of a charge density system is studied. We derive the temperature dependence of thermoelectric power and thermal conductivity by applying the linear response theory to Fr\"ohlich…

Other Condensed Matter · Physics 2007-05-23 Hiroyuki Yoshimoto , Susumu Kurihara

Charge and heat transport through a single molecule tunnel-coupled to external normal electrodes have been studied. The molecule with sufficiently strong interaction between lectrons and vibrational internal degrees of freedom can be…

Mesoscale and Nanoscale Physics · Physics 2012-04-16 Karol Izydor Wysokinski

We investigate the heat transport in a nonequilibrium spin-boson model, where a two level system bridging two harmonic reservoirs at different temperatures, by employing a unitary transformation along with a resolvent operator expansion…

Quantum Physics · Physics 2020-06-24 Wei Wu

This paper gives a 2D hamonic lattices model with missing bond defects, when the capacity ratio of defects is enough large, the temperature gradient can be formed and the finite heat conduction is found in the model. The defects in the 2D…

Chaotic Dynamics · Physics 2009-11-07 Lei Yang , Yang Kongqing

How the transport properties of an extended system is affected by coupling to active reservoirs is a significant, yet virtually unexplored question. Here we address this issue in the context of energy transport between two active reservoirs…

Statistical Mechanics · Physics 2022-09-23 Ion Santra , Urna Basu

We study the heat transport along an edge state of a two-dimensional electron gas in the quantum Hall regime, in contact to two reservoirs at different temperatures. We consider two exactly solvable models for the edge state coupled to the…

Mesoscale and Nanoscale Physics · Physics 2013-10-23 H. Aita , L. Arrachea , C. Naón , E. Fradkin

We consider a harmonically bound Brownian particle coupled to two distinct heat reservoirs at different temperatures. We show that the presence of a harmonic trap does not change the large deviation function from the case of a free Brownian…

Statistical Mechanics · Physics 2011-05-20 Hans C. Fogedby , Alberto Imparato

We investigate non-equilibrium transport of charge and heat through an interacting quantum dot coupled to a finite electron reservoir. Both the quantum dot and the finite reservoir are coupled to conventional electric contacts, i.e.,…

Mesoscale and Nanoscale Physics · Physics 2024-11-19 Stephanie Matern , Saulo V. Moreira , Peter Samuelsson , Martin Leijnse

We prove the Gallavotti-Cohen fluctuation theorem for a model of heat conduction through a chain of anharmonic oscillators coupled to two Hamiltonian reservoirs at different temperatures.

Mathematical Physics · Physics 2015-06-26 Luc Rey-Bellet , Lawrence E. Thomas

We derive a universal bound on the large-deviation functions of particle currents in coherent conductors. This bound depends only on the mean value of the relevant current and the total rate of entropy production required to maintain a…

Statistical Mechanics · Physics 2025-10-24 Kay Brandner , Keiji Saito

For a thermal conductivity that is spatially uniform and independent of temperature, Fourier's law of heat transfer predicts a curl-free heat-flux. In the quasi-ballistic phonon transport regime, where the Fourier law breaks down, it has…

Mesoscale and Nanoscale Physics · Physics 2016-02-02 Ashok T. Ramu , Carl D. Meinhart , John E. Bowers

In this paper, we study exactly the thermal conductance for a low dimensional system represented by two coupled massive Brownian particles, both directly and via a Green-Kubo expression. Both approaches give exactly the same result. We also…

Statistical Mechanics · Physics 2011-07-01 W. A. M. Morgado , D. O. Soares-Pinto

Quantum mechanics and Coulomb interaction dictate the behavior of small circuits. The thermal implications cover fundamental topics from quantum control of heat to quantum thermodynamics, with prospects of novel thermal machines and an…

Mesoscale and Nanoscale Physics · Physics 2018-02-15 E. Sivre , A. Anthore , F. D. Parmentier , A. Cavanna , U. Gennser , A. Ouerghi , Y. Jin , F. Pierre

The quantum thermodynamic behavior of small systems is investigated in presence of finite quantum dissipation. We consider the archetype cases of a damped harmonic oscillator and a free quantum Brownian particle. A main finding is that…

Quantum Physics · Physics 2007-05-23 Peter Hänggi , Gert-Ludwig Ingold

The thermal Hall conductance is a universal and topological property which characterizes the fractional quantum Hall (FQH) state. The quantized value of the thermal Hall conductance has only recently been measured experimentally in integer…

Strongly Correlated Electrons · Physics 2019-04-22 Amit Aharon-Steinberg , Yuval Oreg , Ady Stern

We consider unsteady heat transfer in a one-dimensional harmonic crystal surrounded by a viscous environment and subjected to an external heat supply. The basic equations for the crystal particles are stated in the form of a system of…

Statistical Mechanics · Physics 2022-10-31 Serge N. Gavrilov , Anton M. Krivtsov , Denis V. Tsvetkov

We study the thermal conduction behaviors of one-dimensional lattice models with asymmetry harmonic interparticle interactions in this paper. Normal thermal conductivity independent of the system size is observed when the lattice chains are…

Statistical Mechanics · Physics 2015-11-03 Yi Zhong , Yong Zhang , Jiao Wang , Hong Zhao

Unsteady heat transfer in a harmonic chain is analyzed. Two types of thermal perturbations are considered: 1) initial instant temperature perturbation, 2) external heat supply. Closed equations describing the heat propagation are obtained…

Statistical Mechanics · Physics 2017-09-26 Anton M. Krivtsov

The influence of the environment in the thermal equilibrium properties of a bipartite continuous variable quantum system is studied. The problem is treated within a system-plus-reservoir approach. The considered model reproduces the…

Quantum Physics · Physics 2011-07-05 D. M. Valente , A. O. Caldeira

The particle transport through a chain of quantum dots coupled to two bosonic reservoirs is studied. For the case of reservoirs of non-interacting bosonic particles, we derive an exact set of stochastic differential equations, whose memory…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Anton Ivanov , Georgios Kordas , Andreas Komnik , Sandro Wimberger