Nonlocal effects on the thermal behavior of non-crystalline solids

作者:Lenzi E K*; Astrath N G C; Rossato R; Evangelista L R
来源:Brazilian Journal of Physics, 2009, 39(2A): 507-510.
DOI:10.1590/s0103-97332009000400030

摘要

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.

  • 出版日期2009-8