Studies on the problem of small metallic particles. I. — Spectrum fluctuations in a two-dimensional model and the associated specific heat

✍ Scribed by J Barojas; E Cota; E Blaisten-Barojas; J Flores; P.A Mello

• Publisher: Elsevier Science
• Year: 1977
• Tongue: English
• Weight: 723 KB
• Volume: 107
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(77)90204-4

✦ Synopsis

It is shown that the qualitative arguments given up to now in the literature, are not enough to justify the applications of Random Matrix Theory to the small metallic particle problem. Using a two-dimensional model we show that the spacing distributions approach Poisson's law, as originally assumed by Kubo, who computed the specific heat for this case. By means of a numerical calculation we show, however, that Kubo's result is only valid for keT 8 L 0.025, where 6 is the mean spacing and ka is Boltzmann's constant.

'* Technical consultant to the Institute National de Energia Nuclear, Mexico.