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We study heat conduction in quantum disordered harmonic chains connected to general heat reservoirs which are modeled as infinite collection of oscillators. Formal exact expressions for the thermal current are obtained and it is shown that,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Abhishek Dhar

We study numerically the entanglement entropy and spatial correlations of the one dimensional transverse field Ising model with three different perturbations. First, we focus on the out of equilibrium, steady state with an energy current…

Statistical Mechanics · Physics 2017-06-19 Richard Cole , Frank Pollmann , Joseph J. Betouras

It is commonly assumed that a large system, weakly coupled to a thermal environment through its boundaries, relaxes quasistatically towards the new equilibrium even when the temperature of the environment changes abruptly. Here we show how…

Statistical Mechanics · Physics 2024-11-21 Ran Yaacoby , Oren Raz , Gianluca Teza

We study two popular one-dimensional chains of classical anharmonic oscillators: the rotor chain and a version of the discrete non-linear Schr\"odinger chain. We assume that the interaction between neighboring oscillators, controlled by the…

Statistical Mechanics · Physics 2014-11-21 Wojciech De Roeck , François Huveneers

The nonequilibrium steady state of a granular fluid, driven by a random external force, is demonstrated to exhibit long range correlations, which behave as $\sim 1/r$ in three and $\sim \ln(L/r)$ in two dimensions. We calculate the…

Statistical Mechanics · Physics 2009-10-31 T. P. C. van Noije , M. H. Ernst , E. Trizac , I. Pagonabarraga

Observed self-gravitating systems reveal often fragmented non-equilibrium structures that feature characteristic long-range correlations. However, models accounting for non-linear structure growth are not always consistent with observations…

Astrophysics · Physics 2009-11-07 Daniel Huber , Daniel Pfenniger

Recent cold atom experiments have observed bad and strange metal behaviors in strongly-interacting Fermi-Hubbard systems. Motivated by these results, we calculate the thermoelectric transport properties of a 2D Fermi-Hubbard system in the…

Quantum Gases · Physics 2021-08-27 Thomas G. Kiely , Erich J. Mueller

We provide molecular dynamics simulation of heat transport in one-dimensional molecular chains with different interparticle pair potentials. We show that the thermal conductivity is finite in the thermodynamic limit in the chains with the…

Statistical Mechanics · Physics 2013-07-18 A. V. Savin , Yuriy A. Kosevich

We study the low-temperature transport properties of out-of-equilibrium XXZ spin-$1/2$ chains. We consider the protocol where two semi-infinite chains are prepared in two thermal states at small but different temperatures and suddenly…

Statistical Mechanics · Physics 2018-03-29 Bruno Bertini , Lorenzo Piroli

We consider the critical dynamics of a system with an $n$-component non-conserved order parameter coupled to a conserved field with long range diffusion. An exponent $\sigma$ characterizes the long range transport, $\sigma=2$ being the…

Statistical Mechanics · Physics 2009-10-31 Parongama Sen

We consider heat transfer in one-dimensional systems with long-range interactions. It is known that typical short-range interacting systems shows anomalous behavior in heat transport when total momentum is conserved, whereas…

Statistical Mechanics · Physics 2020-05-04 Shuji Tamaki , Keiji Saito

We investigate energy transport in several two-level atom or spin-1/2 models by a direct coupling to heat baths of different temperatures. The analysis is carried out on the basis of a recently derived quantum master equation which…

Quantum Physics · Physics 2009-11-13 Mathias Michel , Ortwin Hess , Hannu Wichterich , Jochen Gemmer

We outline a general approach to the computation of transport properties of interacting systems at low temperetures and frequencies. We show that if the fixed point and the irrelevant operators around it are known, then by studying the…

Strongly Correlated Electrons · Physics 2009-11-10 Natan Andrei , Efrat Shimshoni , Achim Rosch

We analyse the thermal properties of a harmonic chain with weak correlated disorder. With the use of a perturbative approach we derive analytical expressions for the time-evolution of the chain temperature and of the heat flow when both…

Disordered Systems and Neural Networks · Physics 2010-04-29 I. F. Herrera-González , F. M. Izrailev , L. Tessieri

A kinetic one-dimensional Ising model on a ring evolves according to a generalization of Glauber rates, such that spins at even (odd) lattice sites experience a temperature $T_{e}$ ($T_{o}$). Detailed balance is violated so that the spin…

Statistical Mechanics · Physics 2009-11-07 B. Schmittmann , F. Schmueser

We point out that the transport properties of non-interacting fermionic chains tunnel-coupled to two reservoirs at their ends can be mapped to those of a single quantum dot that is tunnel-coupled to two transformed reservoirs. The…

Statistical Mechanics · Physics 2019-02-14 Niklas Martensen , Gernot Schaller

Anomalous transport in low dimensional spin chains is an intriguing topic that can offer key insights into the interplay of integrability and symmetry in many-body dynamics. Recent studies have shown that spin-spin correlations in spin…

Statistical Mechanics · Physics 2023-06-14 Dipankar Roy , Abhishek Dhar , Herbert Spohn , Manas Kulkarni

The paper investigates non-stationary heat conduction in one-dimensional models with substrate potential. In order to establish universal characteristic properties of the process, we explore three different models --- Frenkel-Kontorova…

Statistical Mechanics · Physics 2015-05-30 O. V. Gendelman , R. Shvartsman , B. Madar , A. V. Savin

We study the transport properties of a one-dimensional spinful Fermi gas, after junction of two semi-infinite sub-systems held at different temperatures. The ensuing dynamics is studied by analysing the space-time profiles of local…

Quantum Gases · Physics 2019-01-18 Márton Mestyán , Bruno Bertini , Lorenzo Piroli , Pasquale Calabrese

As a paradigm for heat conduction in 1 dimension, we propose a class of models represented by chains of identical cells, each one of which containing an energy storage device called a "tank". Energy exchange among tanks is mediated by…

Chaotic Dynamics · Physics 2009-11-11 Jean-Pierre Eckmann , Lai-Sang Young
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