75 citations · 925 across the 66 of their papers we have counts for
6 papers · 1 filter
Fractal Measures of Sea, Lake, Strait, and Dam-Reserve Shores: Calculation, Differentiation, and Interpretation
D. Yilmazer, A. N. Berker, Y. Yilmaz
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 l…
Metastable Potts Droplets
E. Can Artun, A. Nihat Berker
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 depend…
Across Dimensions: Two- and Three-Dimensional Phase Transitions from the Iterative Renormalization-Group Theory of Chains
Ibrahim Kecoglu, A. Nihat Berker
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…
Frustrated Potts: Multiplicity Eliminates Chaos via Reentrance
Alpar Turkoglu, A. Nihat Berker
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 t…
Complete Density Calculations of q-State Potts and Clock Models: Reentrance of Interface Densities under Symmetry Breaking
E. Can Artun, A. Nihat Berker
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…
Metastable Reverse-Phase Droplets within Ordered Phases: Renormalization-Group Calculation of Field and Temperature Dependence of Limiting Size
Ege Eren, A. Nihat Berker
Metastable reverse-phase droplets are calculated by renormalization-group theory by evaluating the magnetization of a droplet under magnetic field, matching the boundary condition…