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We study anomalous heat conduction and anomalous diffusion in low dimensional systems ranging from nonlinear lattices, single walled carbon nanotubes, to billiard gas channels. We find that in all discussed systems, the anomalous heat…

Statistical Mechanics · Physics 2009-11-10 Baowen Li , Jiao Wang , Lei Wang , Gang Zhang

The realization of single-molecule thermal conductance measurements has driven the need for theoretical tools to describe conduction processes that occur over atomistic length scales. In macroscale systems, the principle that is typically…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Galen T. Craven , Abraham Nitzan

Heat conduction in one-dimensional Yukawa chains is investigated. It is shown numerically that it has the abnormal heat conduction which is proportional to the system size. Effects of asymmetric external potential, the modified…

Statistical Mechanics · Physics 2007-05-23 Bambi Hu , Haibin Li , Bai-Song Xie

Energy transport is a fundamental physical process that plays a prominent role in the function and performance of myriad systems and technologies. Recent experimental measurements have shown that subjecting a macroscale system to a…

Statistical Mechanics · Physics 2023-09-06 Renai Chen , Tammie Gibson , Galen T. Craven

We consider heat transport in one-dimensional harmonic chains with isotopic disorder, focussing our attention mainly on how disorder correlations affect heat conduction. Our approach reveals that long-range correlations can change the…

Disordered Systems and Neural Networks · Physics 2016-08-08 I. F. Herrera-González , F. M. Izrailev , L. Tessieri

We discuss a possibility to control a heat conductivity in simple one-dimensional models of dielectrics by means of external mechanical loads. To illustrate such possibilities we consider first a well-studied chain with degenerate…

Mesoscale and Nanoscale Physics · Physics 2013-09-16 Alexander V. Savin , Oleg V. Gendelman

Understanding heat transport in one-dimensional systems remains a major challenge in theoretical physics, both from the quantum as well as from the classical point of view. In fact, steady states of one-dimensional systems are commonly…

Statistical Mechanics · Physics 2019-10-02 Carlos Mejía-Monasterio , Antonio Politi , Lamberto Rondoni

It is well known that the contribution of harmonic phonons to the thermal conductivity of 1D systems diverges with the harmonic chain length $L$ (explicitly, increases with $L$ as a power-law with a positive power). Furthermore, within…

Disordered Systems and Neural Networks · Physics 2018-11-14 Ariel Amir , Yuval Oreg , Yoseph Imry

We present analytical and numerical results on the heat conduction in a linear mixing system. In particular we consider a quasi one dimensional channel with triangular scatterers with internal angles irrational multiples of pi and we show…

Statistical Mechanics · Physics 2009-11-07 Baowen Li , Giulio Casati , Jiao Wang

We analyze the short-time behavior of the heat and charge currents through nanoscale conductors exposed to a temperature gradient. To this end, we employ Luttinger's thermomechanical potential to simulate a sudden change of temperature at…

Mesoscale and Nanoscale Physics · Physics 2016-04-25 F. G. Eich , M. Di Ventra , G. Vignale

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

The paper revisits recent counterintuitive results on divergence of heat conduction coefficient in two-dimensional lattices. It was reported that in certain lattices with on-site potential, for which one-dimensional chain has convergent…

Statistical Mechanics · Physics 2016-03-23 A. V. Savin , V. Zolotarevskiy , O. V. Gendelman

Modeling of thermal transport in practical nanostructures requires making trade-offs between the size of the system and the completeness of the model. We study quantum heat transfer in a self-consistent thermal bath setup consisting of two…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 K. Sääskilahti , J. Oksanen , J. Tulkki

We study a chain of interacting individual quantum systems connected to heat baths at different temperatures on both ends. Starting with the two-system case, we thoroughly investigate the conditions for heat rectification (asymmetric heat…

We studied the phononic heat transfer through an atomic dielectric wire with both infinite and finite lengths by using a model Hamiltonian approach. At low temperature under ballistic transport, the thermal conductance contributed by each…

Condensed Matter · Physics 2009-10-31 A. Buldum , S. Ciraci , C. Y. Fong

We analyze the transport of heat along a chain of particles interacting through anharmonic po- tentials consisting of quartic terms in addition to harmonic quadratic terms and subject to heat reservoirs at its ends. Each particle is also…

Statistical Mechanics · Physics 2015-06-15 Gabriel T. Landi , Mario J. de Oliveira

The persistent current in small isolated rings enclosing magnetic flux is the current circulating in equilibrium in the absence of an external excitation. While initially studied in superconducting and normal metals, recently, atomic…

Quantum Gases · Physics 2022-03-08 Ovidiu I. Patu , Dmitri V. Averin

We report a numerical investigation on the heat transfer through one dimensional arrays of metallic nanoparticles closely spaced in a host material. Our simulations show that the multipolar interactions play a crucial role in the heat…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Philippe Ben-Abdallah , Karl Joulain , Jérémie Drevillon , Clément Le Goff

In this article we consider two different heat conducting fluids each modelled by the incompressible Navier-Stokes-Fourier system separated by a non-linear elastic Koiter shell. The motion of the shell changes the domain of definition of…

Analysis of PDEs · Mathematics 2026-02-12 Sourav Mitra , Sebastian Schwarzacher

Ultracold atoms offer a unique opportunity to study many-body physics in a clean and well-controlled environment. However, the isolated nature of quantum gases makes it difficult to study transport properties of the system, which are among…

Quantum Gases · Physics 2022-12-28 Ling-Na Wu , André Eckardt
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