Spinodal and Equilibrium Global Phase Diagram of the d=3 Merged Potts-Cubic-Clock Model: First-Order Equilibrium and Second-Order Spinodal Boundaries with Hidden Topologies from Renormalization-Group Theory
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arXiv
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| Natura: | Preprint |
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2025
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| _version_ | 1866918034003722240 |
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| author | Acikel, Umut Berker, A. Nihat |
| author_facet | Acikel, Umut Berker, A. Nihat |
| contents | A model that merges the Potts, cubic, and clock models is studied in spatial dimension d=3 by renormalization-group theory. Effective vacancies are included in the renormalization-group initial conditions. In the global phase diagram, 5 different ordered phases, namely ferromagnetic, antiferromagnetic, ferrimagnetic, antiferrimagnetic, axial, and a disordered phase are found, separated by first- and second-order phase boundaries. 8 different phase diagram cross-sections occur. When the effective vacancies are suppressed, the global spinodal phase diagram is found: All disordering phase transitions become second order, the disordered phase recedes, and 17 different phase diagram cross-sections occur, spinodality thus much enriching ordering behavior. In the spinodal phase diagram, the ferrimagnetic and antiferrimagnetic phases have reentrance. The employed renormalization group transformation is exact on the d=3 dimensional hierarchical model and Migdal-Kadanoff approximate on the cubic lattice. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_18785 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spinodal and Equilibrium Global Phase Diagram of the d=3 Merged Potts-Cubic-Clock Model: First-Order Equilibrium and Second-Order Spinodal Boundaries with Hidden Topologies from Renormalization-Group Theory Acikel, Umut Berker, A. Nihat Statistical Mechanics A model that merges the Potts, cubic, and clock models is studied in spatial dimension d=3 by renormalization-group theory. Effective vacancies are included in the renormalization-group initial conditions. In the global phase diagram, 5 different ordered phases, namely ferromagnetic, antiferromagnetic, ferrimagnetic, antiferrimagnetic, axial, and a disordered phase are found, separated by first- and second-order phase boundaries. 8 different phase diagram cross-sections occur. When the effective vacancies are suppressed, the global spinodal phase diagram is found: All disordering phase transitions become second order, the disordered phase recedes, and 17 different phase diagram cross-sections occur, spinodality thus much enriching ordering behavior. In the spinodal phase diagram, the ferrimagnetic and antiferrimagnetic phases have reentrance. The employed renormalization group transformation is exact on the d=3 dimensional hierarchical model and Migdal-Kadanoff approximate on the cubic lattice. |
| title | Spinodal and Equilibrium Global Phase Diagram of the d=3 Merged Potts-Cubic-Clock Model: First-Order Equilibrium and Second-Order Spinodal Boundaries with Hidden Topologies from Renormalization-Group Theory |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2505.18785 |