## 6 Citations

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

- PhysicsPhysical review. E
- 2021

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

- PhysicsPhysical Review E
- 2021

We explore Kapitza thermal resistance on the boundary between two homogeneous chain fragments with different characteristics. For a linear model, an exact expression for the resistance is derived. In…

### Unsteady ballistic heat transport: linking lattice dynamics and kinetic theory

- PhysicsActa Mechanica
- 2021

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…

### Rotobreather in a carbon nanotube bundle

- Physics
- 2020

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

- Physics
- 2022

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

- Physics
- 2022

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

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- 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.

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- Physics
- 2014

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

- PhysicsPhysical review letters
- 2000

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…

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

- Physics
- 1976

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…

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- Physics
- 2008

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…

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- PhysicsPhysical review letters
- 2002

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.

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- Materials Science, Physics
- 1987

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.

- PhysicsPhysical review letters
- 2006

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.