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18 papers · 1 filter
Infinitely Robust Order and Local Order-Parameter Tulips in Apollonian Networks with Quenched Disorder
C. Nadir Kaplan, Michael Hinczewski, A. Nihat Berker
For a variety of quenched random spin systems on an Apollonian network, including ferromagnetic and antiferromagnetic bond percolation and the Ising spin glass, we find the persist…
Quenched-Vacancy Induced Spin-Glass Order
Gül Gülpınar, A. Nihat Berker
The ferromagnetic phase of an Ising model in d=3, with any amount of quenched antiferromagnetic bond randomness, is shown to undergo a transition to a spin-glass phase under suffic…
Class-Specific Tests of Spatial Segregation Based on Nearest Neighbor Contingency Tables
Elvan Ceyhan
The spatial interaction between two or more classes (or species) has important consequences in many fields and might cause multivariate clustering patterns such as segregation or a…
Chaotic Spin Correlations in Frustrated Ising Hierarchical Lattices
Neşe Aral, A. Nihat Berker
Spin-spin correlations are calculated in frustrated hierarchical Ising models that exhibit chaotic renormalization-group behavior. The spin-spin correlations, as a function of dist…
Strong Violation of Critical Phenomena Universality: Wang-Landau Study of the 2d Blume-Capel Model under Bond Randomness
A. Malakis, A. Nihat Berker, I. A. Hadjiagapiou +1
We study the pure and random-bond versions of the square lattice ferromagnetic Blume-Capel model, in both the first-order and second-order phase transition regimes of the pure mode…
Finite-dimensional attractors for the quasi-linear strongly-damped wave equation
Varga Kalantarov, Sergey Zelik
We present a new method of investigating the so-called quasi-linear strongly damped wave equations i…