Energy fluctuations of a finite free-electron Fermi gas
Loading...
Access rights
openAccess
publishedVersion
URL
Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
This publication is imported from Aalto University research portal.
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Other link related to publication (opens in new window)
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Other link related to publication (opens in new window)
Date
2016-08-18
Department
Major/Subject
Mcode
Degree programme
Language
en
Pages
Series
Physical Review E, Volume 94, issue 2, pp. 1-4
Abstract
We discuss the energy distribution of free-electron Fermi-gas, a problem with a textbook solution of Gaussian energy fluctuations in the limit of a large system. We find that for a small system, characterized solely by its heat capacity C, the distribution can be solved analytically, and it is both skewed and it vanishes at low energies, exhibiting a sharp drop to zero at the energy corresponding to the filled Fermi sea. The results are relevant from the experimental point of view, since the predicted non-Gaussian effects become pronounced when C/kB 103 (kB is the Boltzmann constant), a regime that can be easily achieved for instance in mesoscopic metallic conductors at sub-kelvin temperatures.Description
Keywords
Other note
Citation
Pekola, J P, Muratore-Ginanneschi, P, Kupiainen, A & Galperin, Y M 2016, ' Energy fluctuations of a finite free-electron Fermi gas ', Physical Review E, vol. 94, no. 2, 022123, pp. 1-4 . https://doi.org/10.1103/PhysRevE.94.022123