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We study heat transport in a chain of harmonic oscillators with random elastic collisions between nearest-neighbours. The equations of motion of the covariance matrix are numerically solved for free and fixed boundary conditions. In the…

统计力学 · 物理学 2010-11-10 L. Delfini , S. Lepri , R. Livi , C. Mejia-Monasterio , A. Politi

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…

无序系统与神经网络 · 物理学 2010-04-29 I. F. Herrera-González , F. M. Izrailev , L. Tessieri

We consider a chain composed of $N$ coupled harmonic oscillators in contact with heat baths at temperature $T_\ell$ and $T_r$ at sites 1 and $N$ respectively. The oscillators are also subjected to non-momentum conserving bulk stochastic…

统计力学 · 物理学 2015-05-30 Cedric Bernardin , Venkateshan Kannan , Joel L. Lebowitz , Jani Lukkarinen

We study the statistical mechanics of a finite-dimensional non-linear Hamiltonian system (a chain of anharmonic oscillators) coupled to two heat baths (described by wave equations). Assuming that the initial conditions of the heat baths are…

chao-dyn · 物理学 2016-08-31 Jean-Pierre Eckmann , Claude-Alain Pillet , Luc Rey-Bellet

Rectification, the preferential transport of a current in one direction through a system, has garnered significant attention in molecules because of its importance for controlling thermal and electronic currents at the nanoscale. Here, we…

介观与纳米尺度物理 · 物理学 2024-05-20 Renai Chen , Galen T. Craven

We exactly analyze the vibrational properties of a chain of harmonic oscillators in contact with local Langevin heat baths. Nonequilibrium steady-state fluctuations are found to be described by a set of mode-temperatures, independent of the…

统计力学 · 物理学 2017-06-13 Gianmaria Falasco , Marco Baiesi , Leo Molinaro , Livia Conti , Fulvio Baldovin

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…

统计力学 · 物理学 2011-09-08 Stefano Lepri , Carlos Mejia-Monasterio , Antonio Politi

We study the model of a strongly non-linear chain of particles coupled to two heat baths at different temperatures. Our main result is the existence and uniqueness of a stationary state at all temperatures. This result extends those of…

chao-dyn · 物理学 2009-10-31 Jean-Pierre Eckmann , Martin Hairer

We consider two types of strongly disordered one-dimensional Hamiltonian systems coupled to baths (energy or particle reservoirs) at the boundaries: strongly disordered quantum spin chains and disordered classical harmonic oscillators.…

统计力学 · 物理学 2017-04-26 Wojciech De Roeck , Abhishek Dhar , Francois Huveneers , Marius Schuetz

We study the Hamiltonian system made of weakly coupled anharmonic oscillators arranged on a three dimensional lattice and subjected to a stochastic forcing mimicking heat baths of temperatures T_1 and T_2 on the hyperplanes at x_1=0 and N.…

数学物理 · 物理学 2007-05-23 Jean Bricmont , Antti Kupiainen

We consider the stationary states of a chain of $n$ anharmonic coupled oscillators, whose deterministic hamiltonian dynamics is perturbed by random independent sign change of the velocities (a random mechanism that conserve energy). The…

统计力学 · 物理学 2015-05-28 Cedric Bernardin , Stefano Olla

We consider the detailed structure of correlations in harmonic chains with pinning and a bulk velocity flip noise during the heat relaxation phase which occurs on diffusive time scales, for $t=O(L^2)$ where $L$ is the chain length. It has…

数学物理 · 物理学 2018-01-30 Jani Lukkarinen , Matteo Marcozzi , Alessia Nota

We investigate the thermal responses of a harmonic oscillator chain coupled at its boundaries to heat baths held at different temperatures. This setup sustains a steady energy flux, continuously dissipating heat into both reservoirs. By…

统计力学 · 物理学 2026-04-16 Michiel Gautama , Faezeh Khodabandehlou , Christian Maes , Ion Santra

We study the dynamics of covariances in a chain of harmonic oscillators with conservative noise in contact with two stochastic Langevin heat baths. The noise amounts to random collisions between nearest-neighbour oscillators that exchange…

统计力学 · 物理学 2010-11-10 S. Lepri , C. Mejia-Monasterio , A. Politi

A framework for studying the effect of the coupling to the heat bath in models exhibiting anomalous heat conduction is described. The framework is applied to the harmonic chain with momentum exchange model where the non-trivial temperature…

统计力学 · 物理学 2017-02-01 J. Cividini , A. Kundu , A. Miron , D. Mukamel

We study the entanglement in a chain of harmonic oscillators driven out of equilibrium by preparing the two sides of the system at different temperatures, and subsequently joining them together. The steady state is constructed explicitly…

统计力学 · 物理学 2014-12-11 Viktor Eisler , Zoltan Zimboras

We study the dynamic behavior at high energies of a chain of anharmonic oscillators coupled at its ends to heat baths at possibly different temperatures. In our setup, each oscillator is subject to a homogeneous anharmonic pinning potential…

数学物理 · 物理学 2009-03-25 Martin Hairer , Jonathan C. Mattingly

We consider the harmonic chain of oscillators with self-consistent stochastic reservoirs and give a new proof for the finitude of its thermal conductivity in the steady state. The approach, with involves an integral representation for the…

统计力学 · 物理学 2009-11-13 Ricardo Falcao , Antônio Francisco Neto , Emmanuel Pereira

We consider a chain of anharmonic oscillators immersed in a heat bath with a temperature gradient and a time varying tension applied to one end of the chain while the other side is fixed to a point. We prove that under diffusive space-time…

概率论 · 数学 2016-05-16 Viviana Letizia , Stefano Olla

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
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