Fractional approach, quantum statistics, and non-crystalline solids at very low temperatures

E. K. Lenzi (), B. F. de Oliveira, N. G.C. Astrath, L. C. Malacarne, R. S. Mendes, M. L. Baesso and L. R. Evangelista

The European Physical Journal B: Condensed Matter and Complex Systems, 2008, vol. 62, issue 2, 155-158

Abstract: We consider nonlocal effects, obtained by incorporating fractional derivatives in the kinetic energy of a conventional Hamiltonian, to analyze physical properties of non-crystalline solids at very low temperature. By using thermal Green functions, we deduce some experimentally observable quantities such as the particle momentum distribution function, the particle energy distribution function, and the specific heat. The agreement between the results obtained for the specific heat and the experimental data suggests that the approach presented here may be useful as a phenomenological model to investigate thermal properties of non-crystalline solids at low temperature. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Keywords: 05.30.-d Quantum statistical mechanics; 05.40.-a Fluctuation phenomena; random processes; noise; and Brownian motion; 05.90.+m Other topics in statistical physics; thermodynamics; and nonlinear dynamical systems (search for similar items in EconPapers)
Date: 2008
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://hdl.handle.net/10.1140/epjb/e2008-00144-7 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:62:y:2008:i:2:p:155-158

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2008-00144-7

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().