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The Blume–Capel model on hierarchical lattices: Exact local properties
- Source :
- Physica A: Statistical Mechanics and its Applications. 494:559-573
- Publication Year :
- 2018
- Publisher :
- Elsevier BV, 2018.
-
Abstract
- The local properties of the spin one ferromagnetic Blume-Capel model defined on hierarchical lattices with dimension two and three are obtained by a numerical recursion procedure and studied as functions of the temperature and the reduced crystal-field parameter. The magnetization and the density of sites in the configuration S=0 state are carefully investigated at low temperature in the region of the phase diagram that presents the phenomenon of phase reentrance. Both order parameters undergo transitions from the ferromagnetic to the ordered paramagnetic phase with abrupt discontinuities that decrease along the phase boundary at low temperatures. The distribution of magnetization in a typical profile was determined on the transition line presenting a broad multifractal spectrum that narrows towards the fractal limit (single point) as the discontinuities of the order parameters grow towards a maximum. The amplitude of the order-parameter discontinuities and the narrowing of the multifractal spectra were used to delimit the low temperature interval for the possible locus of the tricritical point.<br />Comment: To appear in Physica A (2017), 14 figures, 1 table, doi: 10.1016/j.physa.2017.11.156
- Subjects :
- Statistics and Probability
Physics
Phase boundary
Statistical Mechanics (cond-mat.stat-mech)
Condensed matter physics
FOS: Physical sciences
Multifractal system
Classification of discontinuities
Condensed Matter Physics
01 natural sciences
010305 fluids & plasmas
Magnetization
Fractal
Tricritical point
Phase (matter)
0103 physical sciences
010306 general physics
Condensed Matter - Statistical Mechanics
Phase diagram
Subjects
Details
- ISSN :
- 03784371
- Volume :
- 494
- Database :
- OpenAIRE
- Journal :
- Physica A: Statistical Mechanics and its Applications
- Accession number :
- edsair.doi.dedup.....b98ca6bce8d2b890648a02801de9e55a