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The temperature-dependent thermal conductivities of one-dimensional nonlinear Klein-Gordon lattices with soft on-site potential (soft-KG) have been investigated systematically. Similar to the previously studied hard-KG lattices, the…

Statistical Mechanics · Physics 2015-06-22 Linlin Yang , Nianbei Li , Baowen Li

Heat transport in low-dimensional systems has attracted enormous attention from both theoretical and experimental aspects due to its significance to the perception of fundamental energy transport theory and its potential applications in the…

Chaotic Dynamics · Physics 2013-01-04 Nianbei Li , Baowen 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

We compare two effective phonon theories, which have both been applied recently to study heat conduction in anharmonic lattices. In particular, we study the temperature dependence of the thermal conductivity of the Fermi-Pasta-Ulam model…

Statistical Mechanics · Physics 2010-01-22 Dahai He , Sahin Buyukdagli , Bambi Hu

We study heat conduction in one dimensional (1D) anharmonic lattices analytically and numerically by using an effective phonon theory. It is found that every effective phonon mode oscillates quasi-periodically. By weighting the power…

Statistical Mechanics · Physics 2009-11-11 Nianbei Li , Peiqing Tong , Baowen Li

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

In contrary to other 1D momentum-conserving lattices such as the Fermi-Pasta-Ulam $\beta$ (FPU-$\beta$) lattice, the 1D coupled rotator lattice is a notable exception which conserves total momentum while exhibits normal heat conduction…

Statistical Mechanics · Physics 2015-07-20 Yunyun Li , Nianbei Li , Baowen Li

Thermal conductance of a homogeneous 1D nonlinear lattice system with neareast neighbor interactions has recently been computationally studied in detail by Li et al [Eur. Phys. J. B {\bf 88}, 182 (2015)], where its power-law dependence on…

Statistical Mechanics · Physics 2017-06-07 Yunyun Li , Nianbei Li , Ugur Tirnakli , Baowen Li , Constantino Tsallis

The amorphous solids can be theoretically modeled by anharmonic disordered lattices. However, most of theoretical studies on thermal conductivity in anharmonic disordered lattices only focus on the potentials of hard-type (HT)…

Statistical Mechanics · Physics 2023-03-16 Jianjin Wang , Chi Xiong , Daxing Xiong

We study heat conduction in one dimensional mass disordered harmonic and anharmonic lattices. It is found that the thermal conductivity $\kappa$ of the disordered anharmonic lattice is finite at low temperature, whereas it diverges as…

Statistical Mechanics · Physics 2009-11-07 Baowen Li , Hong Zhao , Bambi Hu

In the regime of strong nonlinearity, the validity of conventional perturbation based phonon transport theories is questionable. In particular, the renormalized phonons instead of phonons are responsible for heat transport in nonlinear…

Statistical Mechanics · Physics 2015-10-13 Nianbei Li , Junjie Liu , Changqin Wu , Baowen Li

The process of heat conduction in one-dimensional lattice with on-site potential is studied by means of numerical simulation. Using discrete Frenkel-Kontorova, $\phi$--4 and sinh-Gordon we demonstrate that contrary to previously expressed…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. V. Savin , O. V. Gendelman

By using non-equilibrium molecular dynamics simulations(NEMD), the modulation on temperature dependence of thermal conductivity of graphene phononic crystals (GPnCs) are investigated. It is found that the temperature dependence of thermal…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 Shiqian Hu , Meng An , Nuo Yang , Baowen Li

This paper consists of two parts. The first part proposes a new methodological framework within which the heat conductivity in 1D lattices can be studied. The total process of heat conductivity is decomposed into two contributions where the…

Chaotic Dynamics · Physics 2011-03-21 T. Yu. Astakhova , V. N. Likhachev , G. A. Vinogradov

We derive the thermal conductivities of one-dimensional harmonic and anharmonic lattices with self-consistent heat baths (BRV lattice) from the Single-Mode Relaxation Time (SMRT) approximation. For harmonic lattice, we obtain the same…

Statistical Mechanics · Physics 2015-05-13 Nianbei Li , Baowen Li

A fundamental understanding of phonon transport in stanene is crucial to predict the thermal performance in potential stanene-based devices. By combining first-principle calculation and phonon Boltzmann transport equation, we obtain the…

Materials Science · Physics 2016-02-23 Bo Peng , Hao Zhang , Hezhu Shao , Yuchen Xu , Xiangchao Zhang , Heyuan Zhu

We present a general harmonic theory for the temperature dependence of phonon-renormalized properties of solids. Firstly, we formulate a perturbation theory in phonon-phonon interactions to calculate the phonon renormalization of physical…

Materials Science · Physics 2015-10-28 Bartomeu Monserrat , G. J. Conduit , R. J. Needs

We here numerically investigate the heat transport behavior in a one-dimensional lattice with a soft-type (ST) anharmonic interparticle interaction. It is found that with the increase of system's temperature, while the introduction of ST…

Statistical Mechanics · Physics 2017-04-26 Daxing Xiong

We studied the phononic heat transfer through an atomic dielectric wire with both infinite and finite lengths by using a model Hamiltonian approach. At low temperature under ballistic transport, the thermal conductance contributed by each…

Condensed Matter · Physics 2009-10-31 A. Buldum , S. Ciraci , C. Y. Fong

We calculate the temperature dependent conductivity of graphene in the presence of randomly distributed Coulomb impurity charges arising from the temperature dependent screening of the Coulomb disorder without any phonons. The purely…

Mesoscale and Nanoscale Physics · Physics 2009-05-22 E. H. Hwang , S. Das Sarma
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