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The second law of thermodynamics dictates that heat simultaneously flows from the hot to cold bath on average. To go beyond this picture, a range of works in the past decade show that, other than the average dynamical heat flux determined…

Statistical Mechanics · Physics 2021-06-29 Zi Wang , Luqin Wang , Jiangzhi Chen , Chen Wang , Jie Ren

In this paper, we study the heat equation with an irregular spatially dependent thermal conductivity coefficient. We prove that it has a solution in an appropriate very weak sense. Moreover, the uniqueness result and consistency with the…

Analysis of PDEs · Mathematics 2023-02-21 Michael Ruzhansky , Mohammed Elamine Sebih , Niyaz Tokmagambetov

We study non-equilibrium quantum transport of spin, heat, and charge in diffusive heterostructures including both superconductors and materials with spin-dependent fields, such as textured ferromagnets and spin-orbit coupled materials.…

Superconductivity · Physics 2017-07-10 Tom Doekle Vethaak , Jabir Ali Ouassou , Jacob Linder

We investigate the anharmonic phonon scattering across a weakly interacting interface by developing a quantum mechanics-based theory. We find that the contribution from anharmonic three-phonon scatterings to interfacial thermal conductance…

Mesoscale and Nanoscale Physics · Physics 2022-02-23 Hangbo Zhou , Gang Zhang , Jian-Sheng Wang , Yong-Wei Zhang

We establish the path integral approach for the time-dependent heat exchange of an externally driven quantum system coupled to a thermal reservoir. We derive the relevant influence functional and present an exact formal expression for the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 M. Carrega , P. Solinas , A. Braggio , M. Sassetti , U. Weiss

Controlling heat flow at the quantum level is essential for the development of next-generation thermal devices. We investigate thermal rectification in a quantum harmonic oscillator coupled to two thermal baths via both single-photon…

Quantum Physics · Physics 2025-12-01 M. Tahir Naseem

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 consider a thermal quantum harmonic oscillator weakly coupled to a heat bath at a different temperature. We analytically study the quantum heat exchange statistics between the two systems using the quantum-optical master equation. We…

Quantum Physics · Physics 2018-11-14 Tobias Denzler , Eric Lutz

Employing the nonequilibrium Green's function method, we develop a fully quantum mechanical model to study the coupled electron-phonon transport in one-dimensional atomic junctions in the presence of a weak electron-phonon interaction. This…

Mesoscale and Nanoscale Physics · Physics 2008-03-04 J. T. Lü , Jian-Sheng Wang

The divergence of the heat conductivity in the thermodynamic limit is investigated in 2d-lattice models of anharmonic solids with nearest-neighbour interaction from single-well potentials. Two different numerical approaches based on…

chao-dyn · Physics 2007-05-23 A. Lippi , R. Livi

A microscopic model of interacting oscillators, which admits two conserved quantities, volume, and energy, is investigated. We begin with a system driven by a general nonlinear potential under high-temperature regime by taking the inverse…

Probability · Mathematics 2023-08-15 Patrícia Gonçalves , Kohei Hayashi

After reviewing the main features of anomalous energy transport in 1D systems, we report simulations performed with chains of noisy anharmonic oscillators. The stochastic terms are added in such a way to conserve total energy and momentum,…

Statistical Mechanics · Physics 2008-01-25 G. Basile , L. Delfini , S. Lepri , R. Livi , S. Olla , A. Politi

In order to investigate the reliability of the classical approximation for non-perturbative real time correlation functions at finite temperature we study the two-point correlator for the anharmonic oscillator. For moderately large times…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. B"odeker

We study the nonequilibrium energy transport across a topological insulator/superconductor junction, by deriving an interfacial heat current formula through scattering wave approach. Several anomalous thermal properties are uncovered, such…

Mesoscale and Nanoscale Physics · Physics 2013-04-25 Jie Ren , Jian-Xin Zhu

Nonequilibrium thermal machines under cyclic driving generally outperform steady-state counterparts. However, there is still lack of coherent understanding of versatile transport and fluctuation features under time modulations. Here, we…

Statistical Mechanics · Physics 2024-08-06 Zi Wang , Jie Ren

Size-dependence of energy transport and the effects of reduced dimensionality on transport coefficients are of key importance for understanding nonequilibrium properties of matter on the nanoscale. Here, we perform nonequilibrium and…

Statistical Mechanics · Physics 2021-05-26 Rongxiang Luo , Lisheng Huang , Stefano Lepri

We investigate heat circulators where a phase coherent region is contacted by three leads that are either normal- or superconducting. A magnetic field, and potentially the superconducting phases, allow to control the preferential direction…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Matteo Acciai , Fatemeh Hajiloo , Fabian Hassler , Janine Splettstoesser

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

We study the finite-temperature transport of electrons coupled to anharmonic local phonons. Our focus is on the high-temperature incoherent regime, where controlled calculations are possible both for weak and strong electron--phonon…

Strongly Correlated Electrons · Physics 2021-10-22 Attila Szabó , S. A. Parameswaran , Sarang Gopalakrishnan

We introduce stochastic models for the transport of heat in systems described by local collisional dynamics. The dynamics consists of tracer particles moving through an array of hot scatterers describing the effect of heat baths at fixed…

Mathematical Physics · Physics 2015-05-13 Raphael Lefevere , Lorenzo Zambotti