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

统计力学 · 物理学 2023-02-15 Sergei D. Liazhkov

We investigate the transport of energy, magnetization, etc. in several finite one-dimensional (1D) quantum systems only by solving the corresponding time-dependent Schroedinger equation. We explicitly renounce on any other…

统计力学 · 物理学 2007-05-23 Robin Steinigeweg , Jochen Gemmer , Mathias Michel

We introduce a new microcanonical dynamics for a large class of Ising systems isolated or maintained out of equilibrium by contact with thermostats at different temperatures. Such a dynamics is very general and can be used in a wide range…

统计力学 · 物理学 2009-07-28 Elena Agliari , Mario Casartelli , Alessandro Vezzani

We study in momentum-conserving systems, how nonintegrable dynamics may affect thermal transport properties. As illustrating examples, two one-dimensional (1D) diatomic chains, representing 1D fluids and lattices, respectively, are…

统计力学 · 物理学 2014-09-26 Shunda Chen , Jiao Wang , Giulio Casati , Giuliano Benenti

We present a study that addresses both the stationary properties of the energy current and quantum correlations in a three-mode chain subjected to Ohmic and super-Ohmic dissipa- tions. An extensive numerical analysis shows that the mean…

量子物理 · 物理学 2015-04-01 Antonio A. Valido , Antonia Ruiz , Daniel Alonso

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.…

统计力学 · 物理学 2009-11-13 Abhishek Dhar

We study the thermal conductivity, at fixed positive temperature, of a disordered lattice of harmonic oscillators, weakly coupled to each other through anharmonic potentials. The interaction is controlled by a small parameter $\epsilon >…

统计力学 · 物理学 2015-06-04 François Huveneers

I study heat and norm transport in a one-dimensional lattice of linear Schr\"odinger oscillators with conservative stochastic perturbations. Its equilibrium properties are the same of the Discrete Nonlinear Schr\"odinger equation in the…

统计力学 · 物理学 2019-10-09 Stefano Iubini

Within the Lindblad formalism we consider an interacting spin chain coupled locally to heat baths. We investigate the dependence of the energy transport on the type of interaction in the system as well as on the overall interaction…

统计力学 · 物理学 2007-05-23 Mathias Michel , Michael Hartmann , Jochen Gemmer , Guenter Mahler

We introduce a family of Hamiltonian models for heat conduction with and without momentum conservation. They are analytically solvable in the high temperature limit and can also be efficiently simulated. In all cases Fourier law is verified…

统计力学 · 物理学 2009-11-11 C. Giardina' , J. Kurchan

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…

统计力学 · 物理学 2009-10-31 Stefano Lepri

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.…

统计力学 · 物理学 2011-03-18 E. Diaz , R. Gutierrez , G. Cuniberti

In this review paper we aim at illustrating recent achievements in anomalous heat diffusion, while highlighting open problems and research perspectives. We briefly recall the main features of the phenomenon for low-dimensional classical…

统计力学 · 物理学 2020-09-18 Giuliano Benenti , Stefano Lepri , Roberto Livi

We consider a model of heat conduction which consists of a finite nonlinear chain coupled to two heat reservoirs at different temperatures. We study the low temperature asymptotic behavior of the invariant measure. We show that, in this…

数学物理 · 物理学 2009-10-31 Luc Rey-Bellet , Lawrence E. Thomas

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…

无序系统与神经网络 · 物理学 2018-11-14 Ariel Amir , Yuval Oreg , Yoseph Imry

In Stochastic Thermodynamics, heat is a random variable with a probability distribution associated. Studies of the distribution of heat are mostly in the overdamped regime and in one dimension. Here we solve the heat distribution in the…

统计力学 · 物理学 2023-02-28 Pedro V. Paraguassú , Rui Aquino , Welles A. M. Morgado

Understanding and quantifying the fundamental physical property of coherence of thermal excitations is a long-standing and general problem in physics. The conventional theory, i.e. the phonon gas model, fails to describe coherence and its…

计算物理 · 物理学 2022-01-11 Zhongwei Zhang , Yangyu Guo , Marc Bescond , Jie Chen , Masahiro Nomura , Sebastian Volz

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…

统计力学 · 物理学 2020-09-16 Stefano Lepri , Roberto Livi , Antonio Politi

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…

量子气体 · 物理学 2022-12-28 Ling-Na Wu , André Eckardt

Two aspects of conductive heat are focused here (i) the nature of conductive heat, defined as that form of energy that is transferred as a result of a temperature difference and (ii) the nature of the intermolecular potentials that induces…

综合物理 · 物理学 2016-08-08 Christopher Gunaseelan Jesudason