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We examine the temperature dependence of thermal conductivity of one dimensional nonlinear (anharmonic) lattices with and without on-site potential. It is found from computer simulation that the heat conductivity depends on temperature via…

Disordered Systems and Neural Networks · Physics 2007-05-23 Nianbei Li , Baowen Li

We study the dynamical correlation functions and heat conduction for the simplest model of quasi one-dimensional (1d) dielectric crystal i.e. a chain of classical particles coupled by quadratic and cubic intersite potential. Even in the…

Statistical Mechanics · Physics 2009-10-31 Stefano Lepri

Simulation of transport properties of confined, low-dimensional fluids can be performed efficiently by means of Multi-Particle Collision (MPC) dynamics with suitable thermal-wall boundary conditions. We illustrate the effectiveness of the…

Statistical Mechanics · Physics 2025-03-12 Rongxiang Luo , Stefano Lepri

We have studied the nonlinear conductivity of two-dimensional Coulomb glasses. We have used a Monte Carlo algorithm to simulate the dynamic of the system under an applied electric field $E$. We found that in the nonlinear regime the site…

Disordered Systems and Neural Networks · Physics 2011-02-01 M. Caravaca , A. M. Somoza , M. Ortuño

Molecular dynamics simulations and nonequilibrium importance sampling are used to study the heat transport of low dimensional carbon lattices. For both carbon nanotubes and graphene sheets heat transport is found to be anomalous, violating…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Ushnish Ray , David T. Limmer

We establish a connection between anomalous heat conduction and anomalous diffusion in one dimensional systems. It is shown that if the mean square of the displacement of the particle is $<\Delta x^2> =2Dt^{\alpha} (0<\alpha\le 2)$, then…

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

In this work we study the thermal rectification efficiency, i.e., asymmetric heat flow, of a three-dimensional mass-graded anharmonic lattice of length $N$ and width $W$ by means of nonequilibrium molecular dynamics simulations. The…

Statistical Mechanics · Physics 2021-10-29 M. Romero-Bastida , M. Lindero-Hernández

Linear temperature dependence of transport coefficients in metals is often ascribed to non-Fermi-liquid physics. Here we demonstrate the $T$-linear behavior of nonlocal conductivity in a clean 2D electron fluid, where carrier collisions…

Mesoscale and Nanoscale Physics · Physics 2025-02-11 Serhii Kryhin , Qiantan Hong , Leonid Levitov

The thermodynamic properties of a nonrelativistic free-electron Fermi gas is of fundamental interest in condensed matter physics. Properties previously studied in three-dimensions (3D) in the low- and high-temperature limits include the…

Statistical Mechanics · Physics 2021-05-13 David C. Johnston

We study the thermal boundary conduction in one-dimensional harmonic and $\phi^{4}$ lattices, both of which consist of two segments coupled by a harmonic interaction. For the ballistic interfacial heat transport through the harmonic…

Statistical Mechanics · Physics 2015-09-30 Xiaodong Cao , Dahai He

We study energy relaxation in thermalized one-dimensional nonlinear arrays of the Fermi-Pasta-Ulam type. The ends of the thermalized systems are placed in contact with a zero-temperature reservoir via damping forces. Harmonic arrays relax…

Statistical Mechanics · Physics 2009-11-07 R. Reigada , A. Sarmiento , Katja Lindenberg

Using quantum gas microscopy we study the late-time effective hydrodynamics of an isolated cold-atom Fermi-Hubbard system subject to an external linear potential (a "tilt"). The tilt is along one of the principal directions of the…

There is a well-known mapping between energy normal (super-) diffusion and normal (anomalous) heat conduction in one-dimensional (1D) nonlinear lattices. The momentum conserving nonlinear lattices exhibit energy super-diffusion behavior…

Statistical Mechanics · Physics 2019-05-27 Hengzhe Yan , Jie Ren , Nianbei Li

The linear response to temperature variations is well characterised for equilibrium systems but a similar theory is not available, for example, for inertial heat conducting systems, whose paradigm is the Fermi-Pasta-Ulam (FPU) model driven…

Statistical Mechanics · Physics 2018-02-09 Federico D'Ambrosio , Marco Baiesi

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

In this work we investigate heat conduction along a ladder-model conformed by two coupled one dimensional lattices with different anharmonicity. We study how the interchain coupling modifies the thermal properties of the isolated systems.…

Statistical Mechanics · Physics 2011-03-18 E. Diaz , R. Gutierrez , G. Cuniberti

Thermal conduction is an important energy transfer and damping mechanism in astrophysical flows. Fourier's law - the heat flux is proportional to the negative temperature gradient, leading to temperature diffusion - is a well-known…

Solar and Stellar Astrophysics · Physics 2015-06-23 Daniel Lecoanet , Benjamin P. Brown , Ellen G. Zweibel , Keaton J. Burns , Jeffrey S. Oishi , Geoffrey M. Vasil

We study various temporal correlation functions of a tagged particle in one-dimensional systems of interacting point particles evolving with Hamiltonian dynamics. Initial conditions of the particles are chosen from the canonical thermal…

Statistical Mechanics · Physics 2015-06-25 Anjan Roy , Abhishek Dhar , Onuttom Narayan , Sanjib Sabhapandit

One-dimensional particle chains are fundamental models to explain anomalous thermal conduction in low-dimensional solids like nanotubes and nanowires. In these systems the thermal energy is carried by phonons, i.e. propagating lattice…

Mesoscale and Nanoscale Physics · Physics 2022-03-17 Francesco De Vita , Giovanni Dematteis , Raffaele Mazzilli , Davide Proment , Yuri V. Lvov , Miguel Onorato

We study heat conduction in one dimensional (1D) anharmonic lattices analytically and numerically by using an effective phonon theory. It is found that every effective phonon mode oscillates quasi-periodically. By weighting the power…

Statistical Mechanics · Physics 2009-11-11 Nianbei Li , Peiqing Tong , Baowen Li