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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…

无序系统与神经网络 · 物理学 2019-11-05 I. F. Herrera-Gonzalez , J. A. Mendez-Bermudez

We consider a Brownian particle in harmonic confinement of stiffness $k$, in one dimension in the underdamped regime. The whole setup is immersed in a heat bath at temperature $T$. The center of harmonic trap is dragged under any arbitrary…

统计力学 · 物理学 2020-03-18 Deepak Gupta , Amos Maritan

We introduce vibrational heat-bath configuration interaction (VHCI) as an accurate and efficient method for calculating vibrational eigenstates of anharmonic systems. Inspired by its origin in electronic structure theory, VHCI is a selected…

化学物理 · 物理学 2021-03-17 Jonathan H. Fetherolf , Timothy C. Berkelbach

We consider a quantum harmonic oscillator coupled to a general nonequilibrium environment. We show that the decoherence factor can be expressed in terms of a measurable effective temperature, defined via a generalized…

量子物理 · 物理学 2010-11-25 Joseph Beer , Eric Lutz

We study the asymptotic behaviour of a finite network of oscillators (harmonic or anharmonic) coupled to a number of deterministic Lagrangian thermostats of finite energy. In particular, we consider a chain of oscillators interacting with…

数学物理 · 物理学 2018-07-04 Andrey V. Dymov

We investigate the possibility of characterizing the different thermalization pathways through a large-deviation approach. Specifically, we consider clean, disordered and quasi-periodic harmonic chains under energy and momentum-conserving…

统计力学 · 物理学 2024-08-21 Stefano Lepri

We study the energy diffusion in a chain of anharmonic oscillators where the Hamiltonian dynamics is perturbed by a local energy conserving noise. We prove that under diffusive rescaling of space-time, energy fluctuations diffuse and evolve…

数学物理 · 物理学 2017-05-01 Stefano Olla , Makiko Sasada

A harmonic oscillator linearly coupled with a linear chain of Ising spins is investigated. The $N$ spins in the chain interact with their nearest neighbours with a coupling constant proportional to the oscillator position and to $N^{-1/2}$,…

统计力学 · 物理学 2010-06-22 A. Prados , L. L. Bonilla , A. Carpio

We present a chain-of-atoms model where heat is rectified, with different fluxes from the hot to the cold baths located at the chain boundaries when the temperature bias is reversed. The chain is homogeneous except for boundary effects and…

统计力学 · 物理学 2018-01-17 M. Pons , Y. Y. Cui , A. Ruschhaupt , M. A. Simon , J. G. Muga

Recent simulation results on heat conduction in a one-dimensional chain with an asymmetric inter-particle interaction potential and no onsite potential found non-anomalous heat transport in accordance to Fourier's law. This is a surprising…

统计力学 · 物理学 2015-06-17 Suman G. Das , Abhishek Dhar , Onuttom Narayan

We investigate the equilibration dynamics of string order in one-dimensional quantum systems. After initializing a spin-1 chain in the Haldane phase, the time evolution of non-local correlations following a sudden quench is studied by means…

统计力学 · 物理学 2014-07-15 Leonardo Mazza , Davide Rossini , Manuel Endres , Rosario Fazio

We investigate the macroscopic behavior of the disordered harmonic chain of oscillators, through energy diffusion. The Hamiltonian dynamics of the system is perturbed by a degenerate conservative noise. After rescaling space and time…

概率论 · 数学 2020-10-23 Clément Erignoux , Marielle Simon

We consider a finite chain of non-linear oscillators coupled at its ends to two infinite heat baths which are at different temperatures. Using our earlier results about the existence of a stationary state, we show rigorously that for…

chao-dyn · 物理学 2015-06-24 Jean-Pierre Eckmann , Claude-Alain Pillet , Luc Rey-Bellet

In this work we study the thermal rectification efficiency of a one-dimensional mass-graded anharmonic oscillator lattice at large system sizes. A modest increase in rectification is observed. When the magnitude of the mass gradient scales…

统计力学 · 物理学 2014-12-01 M. Romero-Bastida , Armando Gonzalez-Alarcon

The nonzero ground-state energy of the quantum mechanical harmonic oscillator implies quantum fluctuations around the minimum of the potential with the mean square value proportional to Planck's constant. In classical mechanics thermal…

量子物理 · 物理学 2020-09-02 K. Schönhammer

We study non-equilibrium properties of a chain of $N$ oscillators with both long-ranged harmonic interactions and long-range conservative noise that exchange momenta of particle pairs. We derive exact expressions for the (deterministic)…

统计力学 · 物理学 2025-01-14 Francesco Andreucci , Stefano Lepri , Carlos Mejía-Monasterio , Stefano Ruffo

The meaning of temperature in nonequilibrium thermodynamics is considered by using a forced harmonic oscillator in a heat bath, where we have two effective temperatures for the position and the momentum, respectively. We invent a concrete…

统计力学 · 物理学 2007-05-23 Takahiro Hatano , David Jou

Cold ions in anisotropic harmonic potentials can form ion chains of various sizes. Here, the density of ions is not uniform, thus the eigenmodes are not phononic-like waves. We study chains of N>>1 ions and evaluate analytically the long…

统计力学 · 物理学 2009-11-10 Giovanna Morigi , Shmuel Fishman

We describe a numerical scheme for exactly simulating the heat current behavior in a quantum harmonic chain with self-consistent reservoirs. Numerically-exact results are compared to classical simulations and to the quantum behavior under…

介观与纳米尺度物理 · 物理学 2015-05-28 Malay Bandyopadhyay , Dvira Segal

We study the effect of non-Markovian reservoirs on the heat conduction properties of short to intermediate size molecular chains. Using classical molecular dynamics simulations, we show that the distance dependence of the heat current is…

介观与纳米尺度物理 · 物理学 2009-11-13 Dvira Segal