Scientific article
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Fixed-magnetization Ising model with a slowly varying magnetic field

Published inJournal of statistical physics, vol. 191, no. 125
Publication date2024-10-14
Abstract

The motivation for this paper is the analysis of the fixed-density Ising lattice gas in the presence of a gravitational field. This is a seen as a particular instance of an Ising model with a slowly varying magnetic field in the fixed magnetization ensemble. We first characterize the typical magnetization profiles in the regime in which the contribution of the magnetic field competes with the bulk energy term. We then discuss in more detail the particular case of a gravitational field and the arising interfacial phenomena. In particular, we identify the macroscopic profile and propose several conjectures concerning the interface appearing in the phase coexistence regime. The latter are supported by explicit computations in an effective model. Finally, we state some conjectures concerning equilibrium crystal shapes in the presence of a gravitational field, when the latter contributes to the energy only to surface order.

Keywords
  • Ising model
  • Lattice gas
  • Interface
  • Gravitational field
  • Equilibrium crystal shape
Citation (ISO format)
AOUN, Yacine, OTT, Sébastien, VELENIK, Yvan. Fixed-magnetization Ising model with a slowly varying magnetic field. In: Journal of statistical physics, 2024, vol. 191, n° 125. doi: 10.1007/s10955-024-03346-0
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Article (Published version)
Identifiers
Journal ISSN0022-4715
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