Nonlocal effects on the thermal behavior of non-crystalline solids

We argue that nonlocal effects represented by fractionary terms in the kinetic energy can be relevant to achieve a satisfactory phenomenological description of the thermal behavior of the specific heat of non-crystalline solids at very low temperature. We propose a simple model formed by the direct sum of two Hamiltonians, one of which is obtained by incorporating fractional derivatives in the kinetic energy of a conventional Hamiltonian, and the other one accounts for the presence of phonons in the system. Some experimental data are used to support the proposed description.

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Bibliographic Details
Main Authors: Lenzi,E. K., Astrath,N. G. C., Rossato,R., Evangelista,L. R.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Física 2009
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000400030
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