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Metastable reverse-phase droplets within ordered phases: Renormalization-group calculation of field and temperature dependence of limiting size
(AMER PHYSICAL SOC, 2020)
Metastable reverse-phase droplets are calculated by renormalization-group theory by evaluating the magnetization of a droplet under magnetic field, matching the boundary condition with the reverse phase and noting whether ...
Lower lower-critical spin-glass dimension from quenched mixed-spatial-dimensional spin glasses
(Amer Physical Soc., 2018)
By quenched-randomly mixing local units of different spatial dimensionalities we have studied Ising spin-glass systems on hierarchical lattices continuously in dimensionalities 1 <= d <= 3. The global phase diagram in ...
Maximally random discrete-spin systems with symmetric and asymmetric interactions and maximally degenerate ordering
(Amer Physical Soc., 2018)
Discrete-spin systems with maximally random nearest-neighbor interactions that can be symmetric or asymmetric ferromagnetic or antiferromagnetic including off-diagonal disorder are studied for the number of states q = 34 ...
Phase transitions between different spin-glass phases and between different chaoses in quenched random chiral systems
(Amer Physical Soc., 2017)
The left-right chiral and ferromagnetic-antiferromagnetic double-spin-glass clock model with the crucially even number of states q = 4 and in three dimensions d = 3 has been studied by renormalization-group theory. We find ...
Devil's staircase continuum in the chiral clock spin glass with competing ferromagnetic-antiferromagnetic and left-right chiral interactions
(Amer Physical Soc., 2017)
The chiral clock spin-glass model with q = 5 states with both competing ferromagnetic-antiferromagnetic and left-right chiral frustrations is studied in d = 3 spatial dimensions by renormalization-group theory. The global ...
Fractal measures of sea, lake, strait, and dam-reserve shores: Calculation, differentiation, and interpretation
(ELSEVIER, 2021)
The fractal dimensions d(f) of the shore lines of the Mediterranean, the Aegean, the Black Sea, the Bosphorus Straits (on both the Asian and European sides), the Van Lake, and the lake formed by the Ataturk Dam have been ...
Metastable Potts droplets
(AMER PHYSICAL SOC, 2021-03)
The existence and limits of metastable droplets have been calculated using finite-system renormalization-group theory, for q-state Potts models in spatial dimension d = 3. The dependence of the droplet critical sizes on ...
Frustrated Potts model: Multiplicity eliminates chaos via reentrance
(Amer Physical Soc, 2020)
The frustrated q-state Potts model is solved exactly on a hierarchical lattice, yielding chaos under rescaling, namely, the signature of a spin-glass phase, as previously seen for the Ising (q = 2) model. However, the ...
Across dimensions: Two- and three-dimensional phase transitions from the iterative renormalization-group theory of chains
(2020)
Sharp two- and three-dimensional phase transitional magnetization curves are obtained by an iterative renormalization-group coupling of Ising chains, which are solved exactly. The chains by themselves do not have a phase ...
Renormalization-group theory of the Heisenberg model in d dimensions
(Elsevier, 2022)
The classical Heisenberg model has been solved in spatial d dimensions, exactly in d = 1 and by the Migdal-Kadanoff approximation in d > 1, by using a Fourier-Legendre expansion. The phase transition temperatures, the ...