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Philosophical Magazine Volume 86, 2006 - Issue 2
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Original Articles

Phonon–roton-like elementary excitations and low-temperature behaviour of non-crystalline solids

N. G. C. Astrath Departamento de Física, Universidade Estadual de Maringá, Avenida Colombo, 5790-87020-900 Maringá, Paraná, BrazilCorrespondence[email protected]
,
M. L. Baesso Departamento de Física, Universidade Estadual de Maringá, Avenida Colombo, 5790-87020-900 Maringá, Paraná, Brazil
,
A. C. Bento Departamento de Física, Universidade Estadual de Maringá, Avenida Colombo, 5790-87020-900 Maringá, Paraná, Brazil
,
C. C. Colucci Departamento de Física, Universidade Estadual de Maringá, Avenida Colombo, 5790-87020-900 Maringá, Paraná, Brazil
,
A. N. Medina Departamento de Física, Universidade Estadual de Maringá, Avenida Colombo, 5790-87020-900 Maringá, Paraná, Brazil
&
L. R. Evangelista Departamento de Física, Universidade Estadual de Maringá, Avenida Colombo, 5790-87020-900 Maringá, Paraná, Brazil
Pages 227-235 | Received 25 Nov 2004, Accepted 05 Aug 2005, Published online: 21 Feb 2007
 
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Abstract

The low-temperature behaviour of the specific heat of a glassy sample is explained in analogy to what is done in the physics of superfluid helium. The low-temperature excitation spectra of the system is assumed as being formed by two ideal gases of quasiparticles. One of them is a phonon gas, leading to the Debye contribution, and the other one is an ideal gas of another bosonic quasiparticle, whose dispersion relation is similar to the one proposed for liquid helium.

Acknowledgements

This work was partially financed by the Brazilian Agencies Capes, CNPq and Fundação Araucária.

Notes

†In the case of superfluid helium, only the phonon gas is bosonic; the roton gas, in the He II temperature range, is treated by means of the Maxwell-Boltzmann statistics.

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