Kapitza resistance in basic chain models with isolated defects

@article{Paul2019KapitzaRI,
  title={Kapitza resistance in basic chain models with isolated defects},
  author={Jithu Paul and Oleg V. Gendelman},
  journal={Physics Letters A},
  year={2019}
}
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6 Citations
Background Citations
3
Methods Citations
2

6 Citations

Kapitza thermal resistance in linear and nonlinear chain models: Isotopic defect.

The observation that even in the nonlinear chains, the linear dynamics can predict the main features of the short-time evolution of the thermal profile if the temperature is low enough implies that the universal thermodynamic limit does not exist in this case.

Kapitza resistance at a domain boundary in linear and nonlinear chains

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The kinetic theory is widely used in the description of thermal transport at the micro- and nanoscale. In the theory, it is assumed that heat is carried by quasi-particles, obeying the Boltzmann…

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Carbon nanotube (CNT) bundles exhibit unusual mechanical properties, but nonlinear dynamics and possible energy localization in such systems have not yet been analyzed. The dynamics of a rotobreather…

The anti-localization of non-stationary linear waves and its relation to the localization. The simplest illustrative problem

We introduce a new wave phenomenon, which can be observed in systems, where a trapped mode exists, namely, the anti-localization of non-stationary linear waves. This is an attenuation of…

Unsteady ballistic heat transport in a 1D harmonic crystal due to a source on an isotopic defect

In the paper we apply asymptotic technique based on the method of stationary phase and obtain the approximate analytical description of thermal motions caused by a source on an isotopic defect of an…

References

SHOWING 1-10 OF 33 REFERENCES

Heat conduction in one-dimensional lattices with on-site potential.

  • A. SavinO. Gendelman
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
It is demonstrated that contrary to previously expressed opinions the sole anharmonicity of the on-site potential is insufficient to ensure the normal heat conductivity in these systems.

Normal heat conductivity in chains capable of dissociation

The paper considers the highly debated problem of convergence of heat conductivity in one-dimensional chains with asymmetric nearest-neighbor potential. We conjecture that the convergence may be…

Finite thermal conductivity in 1D lattices

We discuss the thermal conductivity of a chain of coupled rotators, showing that it is the first example of a 1D nonlinear lattice exhibiting normal transport properties in the absence of an on-site…

Thermal conduction in classical low-dimensional lattices

The scattering of phonons of arbitrary wavelength at a solid-solid interface: Model calculation and applications

A one-dimensional lattice model of a solid-solid interface is presented within which it is possible to characterize the scattering of phonons at the interface as a function of wavelength. The…

HEAT TRANSPORT THROUGH HELIUM II: KAPITZA CONDUCTANCE.

Heat transport in low-dimensional systems

Recent results on theoretical studies of heat conduction in low-dimensional systems are presented. These studies are on simple, yet non-trivial, models. Most of these are classical systems, but some…

Heat conduction in one-dimensional systems with hard-point interparticle interactions.

The study aims to throw light upon recent controversial results on thermal conductivity in one-dimensional systems by reporting extensive and accurate numerical studies on heat transfer in a system of particles with unequal masses interacting through hard-point potentials with two types of symmetry.

Thermal resistance at interfaces

We report measurements of the solid‐solid thermal boundary resistance Rbd, spanning the temperature range from 1 to 300 K. Below 30 K, Rbd is found to be in agreement with the prediction of the…

Asymmetric heat conduction in nonlinear lattices.

An extensive study of the two-segment Frenkel-Kontorova model is conducted, showing that the rectification effect of the heat flux reported in recent literature is possible only in the weak interfacial coupling limit.