Heat flow in a harmonic chain due to an impulse disturbance | Zendy

A. I. Gudimenko | Zendy

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Heat flow in a harmonic chain due to an impulse disturbance

Author(s) -

A. I. Gudimenko

Publication year - 2020

Publication title -

dal nevostochnyi matematicheskii zhurnal

Language(s) - English

Resource type - Journals

ISSN - 1608-845X

DOI - 10.47910/femj202005

Subject(s) - impulse (physics) , mechanics , harmonic oscillator , chain (unit) , disturbance (geology) , heat flow , physics , simple harmonic motion , harmonic , classical mechanics , thermodynamics , thermal , quantum mechanics , biology , paleontology

The heat motion in a one-dimensional semi-infinite chain of coupled harmonic oscillators is studied for the Maxwell distribution of initial velocities and zero initial displacements of the chain particles. It is believed that such initial conditions are achieved by an impulse heating of the sample. Exact analytical expressions for the state correlation functions, local temperature, and local heat current of the chain are obtained.

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