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In d-dimensional lattices of coupled quantum harmonic oscillators, we analyze the heat current caused by two thermal baths of different temperature, which are coupled to opposite ends of the lattice, with focus on the validity of Fourier's…

Quantum Physics · Physics 2013-05-14 A. Asadian , D. Manzano , M. Tiersch , H. J. Briegel

Thermal conductance of a homogeneous 1D nonlinear lattice system with neareast neighbor interactions has recently been computationally studied in detail by Li et al [Eur. Phys. J. B {\bf 88}, 182 (2015)], where its power-law dependence on…

Statistical Mechanics · Physics 2017-06-07 Yunyun Li , Nianbei Li , Ugur Tirnakli , Baowen Li , Constantino Tsallis

We perform nonequilibrium simulations of heat conduction in a three dimensional anharmonic lattice. By studying slabs of length N and width W, we examine the cross-over from one-dimensional to three dimensional behavior of the thermal…

Statistical Mechanics · Physics 2015-05-14 Keiji Saito , Abhishek Dhar

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

The heat equation, based on Fourier's law, is commonly used for description of heat conduction. However, Fourier's law is valid under the assumption of local thermodynamic equilibrium, which is violated in very small dimensions and short…

Statistical Mechanics · Physics 2024-08-05 S. A. Rukolaine

We investigate the mechanism of heat conduction in ordered and disordered harmonic onedimensional chains within the quantum mechanical Langevin method. In the case of the disordered chains we find indications for normal heat conduction…

Quantum Physics · Physics 2007-07-18 Christopher Gaul , Helmut Büttner

The process of heat conduction in one-dimensional lattice with on-site potential is studied by means of numerical simulation. Using discrete Frenkel-Kontorova, $\phi$--4 and sinh-Gordon we demonstrate that contrary to previously expressed…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. V. Savin , O. V. Gendelman

We present a model to show that heat propagation away from a local source depends strongly on dimensionality, leading to dramatic localization in low-dimensional systems. An example of such a system is a carbon nanotube array. We further…

Mesoscale and Nanoscale Physics · Physics 2018-11-05 Mike Chang , Harrison D. E. Fan , Mokter M. Chowdhury , George A. Sawatzky , Alireza Nojeh

We consider heat transport in one-dimensional harmonic chains attached at its ends to Langevin heat baths. The harmonic chain has mass impurities where the separation $d$ between any two successive impurities is randomly distributed…

Disordered Systems and Neural Networks · Physics 2019-11-05 I. F. Herrera-Gonzalez , J. A. Mendez-Bermudez

Recent experiments on cold atoms in optical lattices allow for a quantitative comparison of the measurements to the conductivity calculations in the square lattice Hubbard model. However, the available calculations do not give consistent…

Strongly Correlated Electrons · Physics 2019-07-29 Jaksa Vucicevic , Jure Kokalj , Rok Zitko , Nils Wentzell , Darko Tanaskovic , Jernej Mravlje

Graphene exhibits extraordinary electronic and mechanical properties, and extremely high thermal conductivity. Being a very stable atomically thick membrane that can be suspended between two leads, graphene provides a perfect test platform…

We investigate directed thermal heat flux across 1D homogenous nonlinear lattices when no net thermal bias is present on average. A nonlinear lattice of Fermi-Pasta-Ulam-type or Lennard-Jones-type system is connected at both ends to thermal…

Statistical Mechanics · Physics 2009-12-18 Nianbei Li , Fei Zhan , Peter Hanggi , Baowen Li

We study heat conduction in a one-dimensional chain of particles with longitudinal as well as transverse motions. The particles are connected by two-dimensional harmonic springs together with bending angle interactions. The problem is…

Statistical Mechanics · Physics 2009-11-10 Jian-Sheng Wang , Baowen Li

Heat and energy are conceptually different, but often are assumed to be the same without justification. An effective method for investigating diffusion properties in equilibrium systems is discussed. With this method, we demonstrate that…

Statistical Mechanics · Physics 2015-11-03 Shunda Chen , Yong Zhang , Jiao Wang , Hong Zhao

In the present Letter we present an analytical and numerical solution of the self-consistent mode-coupling equations for the problem of heat conductivity in one-dimensional systems. Such a solution leads us to propose a different scenario…

Statistical Mechanics · Physics 2009-11-11 L. Delfini , S. Lepri , R. Livi , A. Politi

Translationally invariant finetuned single-particle lattice Hamiltonians host flat bands only. Suitable short-range many-body interactions result in complete suppression of particle transport due to local constraints and Many-Body Flatband…

Disordered Systems and Neural Networks · Physics 2021-11-10 I. Vakulchyk , C. Danieli , Alexei Andreanov , S. Flach

Effect of geometry on the superconductivity is considered. It is shown that the for nearly two dimensional BCS systems the critical temperature is rapidly increased with decreasing the thickness of the layer. The result is expected to be…

Condensed Matter · Physics 2007-05-23 N. M. Khue , Le Ngoc Minh , Tran Tri Lan , Do Huu Nha

Anomalous heat transport in one-dimensional nanostructures, such as nanotubes and nanowires, is a widely debated problem in condensed matter and statistical physics, with contradicting pieces of evidence from experiments and simulations.…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Giuseppe Barbalinardo , Zekun Chen , Haikuan Dong , Zheyong Fan , Davide Donadio

From three-dimensional linearized hydrodynamic equations, it is found that the heat conductivity is proportional to $(L_x/(L_y^2 L_z^2))^{1/3}$, where $L_x$, $L_y$ and $L_z$ are the lengths of the system along the $x$, $y$ and $z$…

Statistical Mechanics · Physics 2009-11-11 Taka H. Nishino

Quantum simulations are quickly becoming an indispensable tool for studying particle transport in correlated lattice models. One of the central topics in the study of transport is the bad-metal behavior, characterized by the direct current…

Quantum Gases · Physics 2025-07-04 Ivana Vasić , Jakša Vučičević