Volume 70, Number 3, May 2005
|Page(s)||348 - 354|
|Section||Condensed matter: structural, mechanical and thermal properties|
|Published online||08 April 2005|
A new boundary-controlled phase transition: Phase separation in an Ising bi-pyramid with competing surface fields
Institut für Physik, WA331, Johannes Gutenberg-Universität 55099 Mainz, Germany
2 Institute for Physical Chemistry, Bulgarian Academy of Sciences 1113 Sofia, Bulgaria
3 Department of Physics, University of Wisconsin-Madison 1150 University Avenue, Madison, WI 53706-1390, USA
Accepted: 18 March 2005
We study phase coexistence of an Ising ferromagnet in a bi-pyramid geometry with a square basal plane of linear extension . Antisymmetric surface fields act on the pyramid surfaces above and below the basal plane. In the limit , the magnetisation stays zero at the bulk critical temperature, but becomes discontinuously non-zero at the cone filling critical temperature associated with a single pyramid. Monte Carlo simulations and scaling considerations show that this transition is described by a Landau theory with size-dependent coefficients that give rise to singular critical amplitudes.
PACS: 68.08.Bc – Wetting / 05.70.Fh – Phase transitions: general studies / 68.35.Rh – Phase transitions and critical phenomena
© EDP Sciences, 2005
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