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Quantum simulation methods based on density-functional theory are currently deemed unfit to cope with atomic heat transport within the Green-Kubo formalism, because quantum-mechanical energy densities and currents are inherently ill-defined…

Materials Science · Physics 2016-01-20 Aris Marcolongo , Paolo Umari , Stefano Baroni

We study the connection between heat transport properties of systems coupled to different thermal baths in two separate regions and their underlying nonequilibrium dynamics. We consider classical systems of interacting particles that may…

Statistical Mechanics · Physics 2019-06-12 A. Ruiz-García , J. J. Fernández , D. Alonso

An exact linear response expression is obtained for the heat current in a classical Hamiltonian system coupled to heat baths with time-dependent temperatures. The expression is equally valid at zero and finite frequencies. We present…

Statistical Mechanics · Physics 2015-05-19 Abhishek Dhar , Onuttom Narayan , Anupam Kundu , Keiji Saito

We study heat conduction in a system of hard disks confined to a narrow two dimensional channel. The system is initially in a high density solid-like phase. We study, through nonequilibrium molecular dynamics simulations, the dependence of…

Statistical Mechanics · Physics 2009-11-11 Debasish Chaudhuri , Abhishek Dhar

Situations where a spontaneous process of energy or matter transfer is enhanced by an external device are widespread in nature (human sweating system, enzyme catalysis, facilitated diffusion across bio-membranes, industrial heat…

Statistical Mechanics · Physics 2010-07-21 Karen Hovhannisyan , Armen E. Allahverdyan

We derive a macroscopic heat equation for the temperature of a pinned harmonic chain subject to a periodic force at its right side and in contact with a heat bath at its left side. The microscopic dynamics in the bulk is given by the…

Mathematical Physics · Physics 2023-05-03 Tomasz Komorowski , Joel L. Lebowitz , Stefano Olla

Quantum systems can undergo phase transitions and show distinct features in different phases. The corresponding transport properties can also vary significantly due to the underlying quantum phase. We investigate the transport behaviour of…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Bo Xing , Xiansong Xu , Vinitha Balachandran , Dario Poletti

We present a formulation of a nonequilibrium Green's function method for thermal current in nanojunction atomic systems with nonlinear interactions. This first-principle approach is applied to the calculation of the thermal conductance in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jian-Sheng Wang , Jian Wang , Nan Zeng

Based on the nonequilibrium Green's function (NEGF), we develop a quantum nonlinear theory to study time-dependent ac transport properties in the low frequency and nonlinear bias voltage regimes. By expanding NEGF in terms of time to the…

Mesoscale and Nanoscale Physics · Physics 2023-11-07 Lei Zhang , Fuming Xu , Jian Chen , Yanxia Xing , Jian Wan

We theoretically investigate the phase-dependent heat transport of a temperature-biased granular Josephson junction in the presence of a perpendicular magnetic field. We illustrate the influence of geometry of the junction on the thermal…

Superconductivity · Physics 2019-06-13 Elaheh Afsaneha , Heshmatolah Yavari

We apply a recently proposed novel thermostating mechanism to an interacting many-particle system where the bulk particles are moving according to Hamiltonian dynamics. At the boundaries the system is thermalized by deterministic and…

chao-dyn · Physics 2009-10-31 C. Wagner , R. Klages , G. Nicolis

We study the real-time dynamics of spin chains driven out of thermal equilibrium by an initial temperature gradient T_L \neq T_R using density matrix renormalization group methods. We demonstrate that the nonequilibrium energy current…

Strongly Correlated Electrons · Physics 2015-06-12 C. Karrasch , R. Ilan , J. E. Moore

An analog of the Meir-Wingreen formula for the steady-state heat current through a model molecular junction is derived. The expression relates the heat current to correlation functions that involve operators only acting on the degrees of…

Mesoscale and Nanoscale Physics · Physics 2010-08-26 Kirill A. Velizhanin , Michael Thoss , Haobin Wang

Energy transport in quantum many-body systems with well defined quasiparticles has recently attracted interest across different fields, including out of equilibrium conformal field theories, one dimensional quantum lattice models and…

Strongly Correlated Electrons · Physics 2022-06-16 Ancel Larzul , Marco Schirò

We study heat transfers in a single level quantum dot strongly coupled to fermionic reservoirs and subjected to a time-dependent protocol modulating the dot energy as well as the dot-reservoir coupling strength. The dynamics is described…

Statistical Mechanics · Physics 2016-01-01 Massimiliano Esposito , Maicol A. Ochoa , Michael Galperin

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

In this paper, we present a Hamiltonian and thermodynamic theory of heat transport on various levels of description. Transport of heat is formulated within kinetic theory of polarized phonons, kinetic theory of unpolarized phonons,…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Michal Pavelka , Liliana Restuccia , David Jou

We study the heat current flowing between two baths consisting of harmonic oscillators interacting with a qubit through a spin-boson coupling. An explicit expression for the generating function of the total heat flowing between the hot and…

Statistical Mechanics · Physics 2020-05-20 Erik Aurell , Brecht Donvil , Kirone Mallick

The non-equilibrium state of two oscillators with a mutual interaction and coupled to separate heat baths is discussed. Bosonic baths are considered, and an exact spectral representation for the elements of the covariance matrix is provided…

Quantum Physics · Physics 2021-12-03 Carsten Henkel

Recently a novel concise representation of the probability distribution of heat conducting nonequilibrium steady states was derived. The representation is valid to the second order in the ``degree of nonequilibrium'', and has a very…

Statistical Mechanics · Physics 2009-11-13 Teruhisa S. Komatsu , Naoko Nakagawa , Shin-ichi Sasa , Hal Tasaki