Physics – Quantum Physics
Scientific paper
2001-12-26
Jour. Phys. B, 35, 4915-4931, (2002)
Physics
Quantum Physics
27 pages, 7 figures, 3 new figures have been added with the accompanying text
Scientific paper
10.1088/0953-4075/35/23/314
We have previously studied properties of a one-dimensional potential with $N$ equally spaced identical barriers in a (fixed) finite interval for both finite and infinite $N$. It was observed that scattering and spectral properties depend sensitively on the ratio $c$ of spacing to width of the barriers (even in the limit $N \to \infty$). We compute here the specific heat of an ensemble of such systems and show that there is critical dependence on this parameter, as well as on the temperature, strongly suggestive of phase transitions.
Bar Doron
Horwitz Lawrence P.
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