# Scattering of phonons by quantum-dislocation segments in an elastic continuum

@article{Lund2019ScatteringOP, title={Scattering of phonons by quantum-dislocation segments in an elastic continuum}, author={Fernando Lund and Bruno Scheihing Hitschfeld}, journal={Physical Review B}, year={2019} }

A canonical quantization procedure is applied to elastic waves interacting with pinned dislocation segments via the Peach-Koehler force. The interaction Hamiltonian, derived from an action principle that classically generates the Peach-Koehler force, is a power series of creation and annihilation operators. The leading term is quadratic, and keeping only this term the observable quantities of scattering processes are computed to all orders in perturbation theory. The resulting theory is…

## 3 Citations

Diffusion of elastic waves in a continuum solid with a random array of pinned dislocations

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The propagation of incoherent elastic energy in a three-dimensional solid due to the scattering by many, randomly placed and oriented, pinned dislocation segments, is considered in a continuum…

The Scattering of Phonons by Infinitely Long Quantum Dislocations Segments and the Generation of Thermal Transport Anisotropy in a Solid Threaded by Many Parallel Dislocations

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The thermal transport anisotropy generated on a material by the presence of a highly-oriented array of dislocations is considerably more sensitive to the frequency of each propagating mode, and, therefore, to the temperature of the material.

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