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In this study we used nonequilibrium simulation method to investigate the temperature dependent divergence of thermal conductivity in one dimensional momentum conserving system with asymmetric double well nearest-neighbor interaction…

Statistical Mechanics · Physics 2019-02-06 Archana G R , Debashis Barik

Energy transport in 1-dimensional oscillator arrays has been extensively studied to date in the conservative case, as well as under weak viscous damping. When driven at one end by a sinusoidal force, such arrays are known to exhibit the…

Dynamical Systems · Mathematics 2022-01-19 Tassos Bountis , Konstantinos Kaloudis , Joniald Shena , Charalampos Skokos , Christos Spitas

We analyze closed one-dimensional chains of weakly coupled many level systems, by means of the so-called Hilbert space average method (HAM). Subject to some concrete conditions on the Hamiltonian of the system, our theory predicts energy…

Statistical Mechanics · Physics 2007-05-23 Mathias Michel , Jochen Gemmer , Guenter Mahler

Flat-band materials have garnered extensive attention due to their captivating properties associated with strong correlation effects. While flat bands have been discovered in several types of 2D materials, their existence in 1D systems…

This paper proposes a new methodological framework within which the heat conductance in 1D lattices can be studied. The total process of heat conductance is separated into two parts where the first one is the equilibrium process at equal…

Chaotic Dynamics · Physics 2010-06-10 T. Yu. Astakhova , V. N. Likhachev , G. A. Vinogradov

We consider a harmonic oscillator under periodic driving and coupled to two harmonic-oscillator heat baths at different temperatures. We use the thermofield transformation with chain mapping for this setup, which allows us to study the…

Quantum Gases · Physics 2022-01-19 Tianqi Chen , Dario Poletti

A general formulation is developed to study heat conduction in disordered harmonic chains with arbitrary heat baths that satisfy the fluctuation-dissipation theorem. A simple formal expression for the heat current J is obtained, from which…

Statistical Mechanics · Physics 2009-11-07 Abhishek Dhar

We study the large scale evolution of a scalar lattice excitation which satisfies a discrete wave-equation in three dimensions. We assume that the dispersion relation associated to the elastic coupling constants of the wave-equation is…

Mathematical Physics · Physics 2008-11-06 Lisa Harris , Jani Lukkarinen , Stefan Teufel , Florian Theil

We report a numerical investigation on the heat transfer through one dimensional arrays of metallic nanoparticles closely spaced in a host material. Our simulations show that the multipolar interactions play a crucial role in the heat…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Philippe Ben-Abdallah , Karl Joulain , Jérémie Drevillon , Clément Le Goff

We investigate heat transport through a one-dimensional open coupled scalar field theory, depicted as a network of harmonic oscillators connected to thermal baths at the boundaries. The non-Hermitian dynamical matrix of the network…

Statistical Mechanics · Physics 2024-10-28 T. R. Vishnu , Dibyendu Roy

There has been a recent surge of interest in understanding charge transport at atomic scales. The motivations are myriad, including understanding the conductance properties of peptides measured experimentally. In this study, we propose a…

Biological Physics · Physics 2025-06-09 Roisin Dempsey Braddell , Jone Uria-Albizuri , Jean-Bernard Bru , Serafim Rodrigues

We examine the thermal conductivity and bulk viscosity of a one-dimensional (1D) chain of particles with cubic-plus-quartic interparticle potentials and no on-site potentials. This system is equivalent to the FPU-alpha beta system in a…

Statistical Mechanics · Physics 2009-11-13 G. R. Lee-Dadswell , B. G. Nickel , C. G. Gray

We consider transport of heat and charge in holographic lattices which are phases of strongly coupled matter in which translations are broken explicitly. In these systems, we study a spontaneous density wave that breaks translations…

High Energy Physics - Theory · Physics 2019-06-26 Aristomenis Donos , Christiana Pantelidou

We investigate the steady state heat current in two and three dimensional disordered harmonic crystals in a slab geometry, connected at the boundaries to stochastic white noise heat baths at different temperatures.The disorder causes short…

Disordered Systems and Neural Networks · Physics 2015-05-13 Abhishek Chaudhuri , Anupam Kundu , Dibyendu Roy , Abhishek Dhar , Joel L. Lebowitz , Herbert Spohn

We study heat transport in a one-dimensional chain of a finite number $N$ of identical cells, coupled at its boundaries to stochastic particle reservoirs. At the center of each cell, tracer particles collide with fixed scatterers,…

Statistical Mechanics · Physics 2022-04-10 Pierre Collet , Jean-Pierre Eckmann , Carlos Mejia-Monasterio

The mechanism of thermal conductivity in amorphous polymers, especially polymer fibers, is unclear in comparison with that in inorganic materials. Here, we report the observation of across over of heat conduction behavior from three…

We study resonant energy transfer in a one-dimensional chain of two to five atoms by analyzing time-dependent probabilities as function of their interatomic distances. The dynamics of the system are first investigated by including the…

Atomic Physics · Physics 2018-09-26 Maninder Kaur , Paramjit Kaur , B. K. Sahoo , Bindiya Arora

Classical molecular dynamics (MD) has been shown to be effective in simulating heat conduction in certain molecular junctions since it inherently takes into account some essential methodological components which are lacking with quantum…

Materials Science · Physics 2024-04-09 Renai Chen , Mohammadhasan Dinpajooh , Abraham Nitzan

This work relaxes the assumption of point particles prevalent in the study of thermal transport characteristics in $\Phi^4$ chains. The particles of the modified chain, henceforth termed as the $\Phi^{4C}$ chain, can collide with each…

Statistical Mechanics · Physics 2020-06-24 Sankhadeep Bhattacharyya , Puneet Kumar Patra

We introduce a class of stochastic weakly coupled map lattices, as models for studying heat conduction in solids. Each particle on the lattice evolves according to an internal dynamics that depends on its energy, and exchanges energy with…

Statistical Mechanics · Physics 2013-02-18 François Huveneers