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In this essay, we first sketch the development of ideas on the extraordinary dynamics of integrable classical nonlinear and quantum many body Hamiltonians. In particular, we comment on the state of mathematical techniques available for…

Strongly Correlated Electrons · Physics 2007-05-23 X. Zotos

In the past few years, the theory of thermal transport in amorphous solids has been substantially extended beyond the Allen-Feldman model. The resulting formulation, based on the Green-Kubo linear response or the Wigner-transport equation,…

Materials Science · Physics 2023-09-08 Alfredo Fiorentino , Paolo Pegolo , Stefano Baroni

We use the fundamental nonequilibrium steady-state fluctuation symmetry and derive a condition on the validity of the thermodynamic uncertainty relation (TUR) in thermal transport problems, classical or quantum alike. We test this condition…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 Sushant Saryal , Hava Friedman , Dvira Segal , Bijay Kumar Agarwalla

We develop a general theory for thermal transport in anharmonic systems under the weak system-bath coupling approximation similar to the quantum master equation formalism. A current operator is derived, which is valid not only in the steady…

Mesoscale and Nanoscale Physics · Physics 2012-05-28 Juzar Thingna , J. L. García-Palacios , Jian-Sheng Wang

Despite governing heat management in any realistic device, the microscopic mechanisms of heat transport in all-solid-state electrolytes are poorly known: existing calculations, all based on simplistic semi-empirical models, are unreliable…

Materials Science · Physics 2023-09-08 Paolo Pegolo , Stefano Baroni , Federico Grasselli

Within the frames of the analytical mechanics the method of the description of dynamics of nonequilibrium systems of potentially interacting elements is develops. The method is based on an opportunity of representation of nonequilibrium…

General Physics · Physics 2012-05-14 V. M. Somsikov

Metallic atomic junctions pose the ultimate limit to the scaling of electrical contacts. They serve as model systems to probe electrical and thermal transport down to the atomic level as well as quantum effects occurring in one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Nico Mosso , Ute Drechsler , Fabian Menges , Peter Nirmalraj , Siegfried Karg , Heike Riel , Bernd Gotsmann

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

The earliest molecular dynamics simulations relied on solving the Newtonian or equivalently the Hamiltonian equations of motion for a system. While pedagogically very important as the total energy is preserved in these simulations, they…

Computational Physics · Physics 2020-06-04 M Sri Harish , Puneet Kumar Patra

In this work, we aim to study the thermal properties of materials using classical molecular dynamics simulations and specialized numerical methods. We focus primarily on the thermal conductivity \kappa using non-equilibrium molecular…

Materials Science · Physics 2017-05-03 Jonathan Severin , Philippe Jund

Understanding and controlling heat transport in molecular junctions would provide new routes to design nanoscale coupled electronic and phononic devices. Using first principles full quantum calculations, we tune thermal conductance of a…

Mesoscale and Nanoscale Physics · Physics 2015-11-20 Qian Li , Ivan Duchemin , Shiyun Xiong , Gemma C. Solomon , Davide Donadio

Magnetic memory and logic devices, including prospective ones based on skyrmions, inevitably produce heat. Thus, controlling heat flow is essential for their performance. Here we study how non-collinear spin arrangement affects the magnon…

Strongly Correlated Electrons · Physics 2026-02-04 Margherita Parodi , Sergey Artyukhin

This work aims to understand how quantum mechanics affects heat transport at low temperatures. In the classical setting, by considering a simple paradigmatic model, our simulations reveal the emergence of Negative Differential Thermal…

Statistical Mechanics · Physics 2026-02-17 Zhixing Zou , Jiangbin Gong , Jiao Wang , Giulio Casati , Giuliano Benenti

We show that the conductance $G$ of molecular tunnel junctions wherein the charge transport is dominated by a single energy level can be expressed in closed analytic form which is exact and valid at arbitrary temperature $T$ and model…

Mesoscale and Nanoscale Physics · Physics 2022-10-25 Ioan Baldea

An ongoing problem in the study of a classical many-body system is the characterization of its equilibrium behaviour by theory or numerical simulation. For purely repulsive particles, locating the melting line in the pressure-temperature…

Statistical Mechanics · Physics 2012-03-02 Santi Prestipino

The thermal conductivity of graphene nanoribbons (layer from 1 to 8 atomic planes) is investigated by using the nonequilibrium molecular dynamics method. We present that the room-temperature thermal conductivity decays monotonically with…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Wei-Rong Zhong , Mao-Ping Zhang , Bao-Quan Ai , Dong-Qin Zheng

We calculate the electronic contribution to the thermal conductance in a quantum dot that is weakly coupled via tunnel barriers to two electrons reservoirs. A linear response model is derived for the calculation of the heat current Q…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Margarita Tsaousidou , George P. Triberis

In aluminium electrolysis cells, a ledge of frozen electrolyte is formed, attached to the sides of the cell. The control of the side ledge thickness is essential in ensuring a reasonable lifetime for the cells. Numerical modelling of the…

Materials Science · Physics 2016-09-30 Aimen E. Gheribi , Patrice Chartrand

We clarify some aspects of the calculation of the thermal transport coefficients. For a tight-binding Hamiltonian we discuss the approximate nature of the charge current and the thermal current obtained by Peierls substitution which is also…

Strongly Correlated Electrons · Physics 2009-11-07 Indranil Paul , Gabriel Kotliar

The non-Markoffian transport equations for the systems of cold Bose atoms confined by a external potential both without and with a Bose-Einstein condensate are derived in the framework of nonequilibrium thermal filed theory (Thermo Field…

Quantum Gases · Physics 2010-07-13 Y. Nakamura , T. Sunaga , M. Mine , M. Okumura , Y. Yamanaka