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Energy transport in one-dimensional chains of particles with three conservation laws is generically anomalous and belongs to the Kardar-Parisi-Zhang dynamical universality class. Surprisingly, some examples where an apparent normal heat…

Statistical Mechanics · Physics 2020-09-16 Stefano Lepri , Roberto Livi , Antonio Politi

The heat conduction behavior of one dimensional momentum conserving lattice systems with asymmetric interparticle interactions is numerically investigated. It is found that with certain degree of interaction asymmetry, the heat conductivity…

Statistical Mechanics · Physics 2015-05-28 Yi Zhong , Yong Zhang , Jiao Wang , Hong Zhao

Transition to thermal equilibrium in a uniformly heated two-dimensional harmonic triangular lattice with nearest neighbor interactions is investigated. Initial conditions, typical for molecular dynamics simulations, are considered.…

Statistical Mechanics · Physics 2017-09-15 V. A. Tsaplin , V. A. Kuzkin

In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long--time correlation of the corresponding currents. The effective asymptotic behaviour is addressed with reference to the problem of heat…

Statistical Mechanics · Physics 2009-11-10 Stefano Lepri , Roberto Livi , Antonio Politi

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 study transport of noninteracting fermions through a periodically driven quantum point contact (QPC) connecting two tight-binding chains. Initially, each chain is prepared in its own equilibrium state, generally with a bias in chemical…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Oleksandr Gamayun , Artur Slobodeniuk , Jean-Sébastien Caux , Oleg Lychkovskiy

We study heat conduction in one dimensional lattice dynamical systems far from equilibrium. The Fermi-Pasta-Ulam model and the $\phi^4$ model are numerically compared to elucidate differences between momentum-conserving and nonconserving…

Statistical Mechanics · Physics 2007-05-23 Akira Ueda , Shinji Takesue

When coupling thermal baths at different temperatures, negative differential thermal conductivity is typically attributed to nonlinear interactions in the connecting medium. In this work, we demonstrate that such an effect can arise purely…

Statistical Mechanics · Physics 2026-05-13 Simon Krekels , Christian Maes , Ion Santra , Ruoxun Zhai

Recent results on theoretical studies of heat conduction in low-dimensional systems are presented. These studies are on simple, yet nontrivial, models. Most of these are classical systems, but some quantum-mechanical work is also reported.…

Statistical Mechanics · Physics 2009-11-13 Abhishek Dhar

We explore excitation transport within a one-dimensional chain of atoms where the atomic transition dipoles are coupled to the free radiation field. When the atoms are separated by distances smaller or comparable to the wavelength of the…

Quantum Physics · Physics 2019-09-04 Jemma A. Needham , Igor Lesanovsky , Beatriz Olmos

The Letter addresses the relationship between hyperbolic equations of heat conduction and microscopic models of dielectrics. Effects of the non-stationary heat conduction are investigated in two one-dimensional models with conserved…

Statistical Mechanics · Physics 2015-05-14 Oleg V. Gendelman , Alexander V. Savin

Commonly, thermal transport properties of one-dimensional systems are found to be anomalous. Here, we perform a numerical and theoretical study of the $\beta$-FPUT chain, considered a prototypical model for one-dimensional anharmonic…

Statistical Mechanics · Physics 2020-07-15 Giovanni Dematteis , Lamberto Rondoni , Davide Proment , Francesco De Vita , Miguel Onorato

We demonstrate mesoscopic transport through quantum states in quasi-1D lattices maintaining the combination of parity and time-reversal symmetries by controlling energy gain and loss. We investigate the phase diagram of the non-Hermitian…

Quantum Physics · Physics 2017-08-30 Jung-Wan Ryu , Nojoon Myoung , Hee Chul Park

We consider unsteady ballistic heat transport in a semi-infinite Hooke chain with a free end and an arbitrary heat source. An analytical description of the evolution of the kinetic temperature is proposed in both discrete (exact) and…

Statistical Mechanics · Physics 2025-10-21 Sergei D. Liazhkov

We study diffusion processes of local fluctuations of heat, energy, momentum, and mass in three paradigmatic one-dimensional systems. For each system, diffusion processes of four physical quantities are simulated and the cross correlations…

Statistical Mechanics · Physics 2013-03-28 Shunda Chen , Yong Zhang , Jiao Wang , Hong Zhao

We study heat transport in the context of Hamiltonian and related stochastic models with nearest-neighbor coupling, and derive a universal law for the temperature profiles of a large class of such models. This law contains a parameter…

Statistical Mechanics · Physics 2009-11-10 Jean-Pierre Eckmann , Lai-Sang Young

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

We study a system consisting of an infinite one-dimensional molecular chain and a locally coupled probe. Starting from the Hamiltonian of the chain-probe composite and the corresponding spectral densities, we evaluate the heat current…

Chemical Physics · Physics 2026-04-01 Hao-Yang Qi , Zi-Fan Zhu , Yao Wang , Rui-Xue Xu , YiJing Yan

The study of quantum thermodynamics is key to the development of quantum thermal machines. In contrast to most of the previous proposals based on discrete strokes, here we consider a working substance that is permanently coupled to two or…

Quantum Physics · Physics 2022-02-09 Heather Leitch , Nicolò Piccione , Bruno Bellomo , Gabriele De Chiara

We consider a one-dimensional harmonic crystal with conservative noise, in contact with two stochastic Langevin heat baths at different temperatures. The noise term consists of collisions between neighbouring oscillators that exchange their…

Statistical Mechanics · Physics 2011-09-08 Stefano Lepri , Carlos Mejia-Monasterio , Antonio Politi