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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 ...
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 ...
Complete density calculations of q-state Potts and clock models: Reentrance of interface densities under symmetry breaking
(Amer Physical Soc, 2020)
All local bond-state densities are calculated for q-state Potts and clock models in three spatial dimensions, d = 3. The calculations are done by an exact renormalization group on a hierarchical lattice, including the ...
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 ...
Lower critical dimension of the random-field XY model and the zero-temperature critical line
(Amer Physical Soc, 2022)
The random-field XY model is studied in spatial dimensions d = 3 and 4, and in between, as the limit q -> infinity of the q-state clock models, by the exact renormalization-group solution of the hierarchical lattice or, ...
The effect of weekend curfews on epidemics: a Monte Carlo simulation
(Tubitak Scientific & Technical Research Council Turkey, 2021)
The ongoing COVID-19 pandemic is being responded with various methods, applying vaccines, experimental treatment options, total lockdowns or partial curfews. Weekend curfews are among the methods for reducing the number ...