Monte Carlo study of an inhomogeneous Blume-Capel model: A case study of the local density approximation
| Autor: | Richard T. Scalettar, G. George Batrouni, S. M. Pittman |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Condensed Matter::Quantum Gases
Physics Hybrid Monte Carlo Phase transition Quantum Monte Carlo Monte Carlo method Dynamic Monte Carlo method Diffusion Monte Carlo Statistical physics Local-density approximation Condensed Matter Physics Electronic Optical and Magnetic Materials Monte Carlo molecular modeling |
| Zdroj: | Physical Review B. 78 |
| ISSN: | 1550-235X 1098-0121 |
| DOI: | 10.1103/physrevb.78.214208 |
| Popis: | Systems of particles in a confining potential exhibit a spatially dependent density which fundamentally alters the nature of phase transitions that occur. A specific instance of this situation, which is being extensively explored currently, concerns the properties of ultracold optically trapped atoms. Of interest are how the superfluid-insulator transition is modified by the inhomogeneity, and, indeed, the extent to which a sharp transition survives at all. This paper explores a classical analog of these systems, the Blume-Capel model with a spatially varying single-ion anisotropy and/or temperature gradient. We present results both for the nature of the critical properties and for the validity of the ``local density approximation'' which is often used to model the inhomogeneous case. We compare situations when the underlying uniform transition is first and second orders. |
| Databáze: | OpenAIRE |
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