Europhys. Lett.
Volume 47, Number 5, September 1999
Page(s) 575 - 581
Section Condensed matter: structure, mechanical and thermal properties
Published online 01 September 2002
DOI: 10.1209/epl/i1999-00428-0

Europhys. Lett, 47 (5), pp. 575-581 (1999)

Scaling of the hysteresis loop in two-dimensional solidification

K. Budde 1, I. Lyuksuytov 3, H. Pfnür 1, G. Godzik 1 and H.-U. Everts 2

1 Institut für Festkörperphysik, Universität Hannover
Appelstraße 2, D-30167 Hannover, Germany
2 Institut für Theoretische Physik, Universität Hannover
Appelstraße 2, D-30167 Hannover, Germany
3 Department of Physics, Texas A&M University
College Station, TX 77843-4242, USA

(received 18 February 1999; accepted in final form 8 July 1999)

PACS. 68.35Rh - Phase transitions and critical phenomena.
PACS. 64.70Hz - Solid-vapor transitions.
PACS. 61.14Hg - Low-energy electron diffraction (LEED) and reflection high-energy electron diffraction (RHEED).


The first-order phase transitions between a two-dimensional (2d) gas and the 2d solid of the first monolayer have been studied for the noble gases Ar, Kr and Xe on a NaCl(100) surface in quasi-equilibrium with the three-dimensional (3d) gas phase. Using linear temperature ramps, we show that the widths of the hysteresis loops of these transitions as a function of the heating rate, r, scale with a power law $\propto r^\alpha$, with $\alpha$ between 0.4 and 0.5 depending on the system. The hysteresis loops for different heating rates are similar. The island area of the condensed layer was found to grow initially with a t4 time dependence. These results are in agreement with theory, which predicts $\alpha = 0.5$and hysteresis loop similarity.


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