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Related papers: Memory Effects and Heat Transport in One-dimension…

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It is necessary to use more general models than the classical Fourier heat conduction law to describe small-scale thermal conductivity processes. The effects of heat flow memory and heat capacity memory (internal energy) in solids are…

Numerical Analysis · Mathematics 2021-11-30 Petr N. Vabishchevich

We propose a model with a quantized degree of freedom to study the heat transport in quasi-one dimensional system. Our simulations reveal three distinct temperature regimes. In particular, the intermediate regime is characterized by heat…

Disordered Systems and Neural Networks · Physics 2009-11-11 Jun-Wen Mao , You-Quan Li

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

Using molecular dynamics simulations, we study supercritical fluids near the gas-liquid critical point under heat flow in two dimensions. We calculate the steady-state temperature and density profiles. The resultant thermal conductivity…

Statistical Mechanics · Physics 2009-11-10 Toshiyuki Hamanaka , Ryoichi Yamamoto , Akira Onuki

In the present Letter we present an analytical and numerical solution of the self-consistent mode-coupling equations for the problem of heat conductivity in one-dimensional systems. Such a solution leads us to propose a different scenario…

Statistical Mechanics · Physics 2009-11-11 L. Delfini , S. Lepri , R. Livi , A. Politi

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dvira Segal

In the present communication we consider the one-dimensional (1D) isotopically disordered lattice with the harmonic potential. Our analytical method is adequate for any 1D lattice where potential energy can be presented as the quadratic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Vladimir N. Likhachev , Juraj Szavits-Nossan , George A. Vinogradov

Heat transport in nanoscale systems is both hard to measure microscopically, and hard to interpret. Ballistic and diffusive heat flow coexist, adding confusion. This paper looks at a very simple case: a nanoscale crystal repeated…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 Philip B. Allen

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…

Statistical Mechanics · Physics 2014-09-26 Shunda Chen , Jiao Wang , Giulio Casati , Giuliano Benenti

We studied the dynamics of a quasi-one-dimensional chain-like system of charged particles at low temperature, interacting through a screened Coulomb potential in the presence of a local constriction. The response of the system when an…

Chaotic Dynamics · Physics 2009-11-11 G. Piacente , F. M. Peeters

We investigate the behavior of heat conduction in two-dimensional (2D) electron gases without and with a magnetic field. We perform simulations with the Multi-Particle-Collision approach, suitably adapted to account for the Lorenz force…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Rongxiang Luo , Qiyuan Zhang , Guanming Lin , Stefano Lepri

Understanding heat transport in low-dimensional and nano-architectured materials remains a central challenge in nonequilibrium statistical physics due to persistent deviations from Fourier's law. These deviations are driven by…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 R. A. C. Correa , K. N. M. Sharma , P. Lolur , J. van Velzen

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

The discovery of nanostructures and the development of growth and fabrication techniques of one- and two-dimensional materials provide the possibility to probe experimentally heat transport in low-dimensional systems. Nevertheless measuring…

Materials Science · Physics 2015-12-23 Davide Donadio

Heat transport in one-dimensional (1D) momentum-conserving lattices is generally assumed to be anomalous, thus yielding a power-law divergence of thermal conductivity with system length. However, whether heat transport in two-dimensional…

Statistical Mechanics · Physics 2020-01-29 Jian Wang , Tian-xing Liu , Xiao-zhi Luo , Xiu-Lian Xu , Nianbei Li

The dynamics of short 1D nonlinear Hamiltonian chains is analyzed numerically at different temperatures (energy per particle). The boundary temperature $T_b$ separating the regular (quasiperiodic) and the stochastic (chaotic) chain motion…

Chaotic Dynamics · Physics 2014-04-25 A. N. Artemov

We work out the non-equilibrium steady state properties of a harmonic lattice which is connected to heat reservoirs at different temperatures. The heat reservoirs are themselves modeled as harmonic systems. Our approach is to write quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Abhishek Dhar , Dibyendu Roy

We analytically study heat conduction in a chain with interparticle interaction V(x)=lambda[1-cos(x)] and harmonic on-site potential. We start with each site of the system connected to a Langevin heat bath, and investigate the case of small…

Statistical Mechanics · Physics 2007-05-23 Emmanuel Pereira , Ricardo Falcao

In the present chapter, we discuss an approach for transition from discrete to continuum description of thermomechanical behavior of solids. The transition is carried out for several anharmonic systems: one-dimensional crystal,…

Statistical Mechanics · Physics 2017-08-01 Anton M. Krivtsov , Vitaly A. Kuzkin

Dusty plasmas are a model system for studying strong correlation. The dust grains' size of a few micro-meters and their characteristic oscillation frequency of a few hertz allows for an investigation of many particle effects on an atomic…

Plasma Physics · Physics 2013-09-19 Giedrius Kudelis , Hauke Thomsen , Michael Bonitz