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Dispersion relations for waves in dilute hard-sphere Bose gases

Chu A Kwang-Hua

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LETTER TO THE EDITOR

The Ühling-Uhlenbeck equations and the discrete velocity model are used to study the propagation of plane waves in a dilute system of Bose particles with hard-sphere interactions. The Ühling-Uhlenbeck collision sum, as it is highly nonlinear, is first linearized and then decomposed by using the plane wave assumption. We address the dispersion relations thus obtained by the relevant parameter θ or B which describes the Bose particles for the quantum analogue of the discrete Boltzmann system when B is positive (and θ = 1). The attenuation of plane waves propagating in dilute Bose gases in the low density or temperature regime shows a rather sharp change which is completely different from that in dilute Boltzmann gases.


PACS

05.30.Jp Boson systems

61.20.-p Structure of liquids

41.20.Jb Electromagnetic wave propagation; radiowave propagation

Subjects

Soft matter, liquids and polymers

Quantum gases, liquids and solids

Accelerators, beams and electromagnetism

Statistical physics and nonlinear systems

Dates

Issue 22 (28 November 2001)

Received 15 August 2001, in final form 12 October 2001

Published 9 November 2001



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