Balance and frustration in signed networks
The frustration index is a key measure for analysing signed networks, which has been
underused due to its computational complexity. We use an exact optimization-based method …
underused due to its computational complexity. We use an exact optimization-based method …
Analysis of the phase transition in the two-dimensional Ising ferromagnet using a Lempel-Ziv string-parsing scheme and black-box data-compression utilities
O Melchert, AK Hartmann - Physical Review E, 2015 - APS
In this work we consider information-theoretic observables to analyze short symbolic
sequences, comprising time series that represent the orientation of a single spin in a two …
sequences, comprising time series that represent the orientation of a single spin in a two …
Computing the line index of balance using integer programming optimisation
An important measure of signed graphs is the line index of balance which has applications
in many fields. However, this graph-theoretic measure was underused for decades because …
in many fields. However, this graph-theoretic measure was underused for decades because …
Inelastic neutron scattering from a geometrically frustrated Ising antiferromagnet: Exact solutions
KA Muttalib, JH Barry - Physical Review B, 2024 - APS
Employing transformations of planar Ising models (decoration-decimation followed by star-
triangle), the frustrated antiferromagnetic kagomé Ising model is mapped to the known …
triangle), the frustrated antiferromagnetic kagomé Ising model is mapped to the known …
Inference of hidden structures in complex physical systems by multi-scale clustering
We survey the application of a relatively new branch of statistical physics—“community
detection”—to data mining. In particular, we focus on the diagnosis of materials and …
detection”—to data mining. In particular, we focus on the diagnosis of materials and …
Signed network structural analysis and applications with a focus on balance theory
S Aref - arXiv preprint arXiv:1901.06845, 2019 - arxiv.org
We analyse signed networks from the perspective of balance theory which predicts structural
balance as a global structure for signed social networks that represent groups of friends and …
balance as a global structure for signed social networks that represent groups of friends and …
Thermodynamic description of the Ising antiferromagnet on a triangular lattice with selective dilution by a modified pair-approximation method
T Balcerzak, K Szałowski, M Jaščur, M Žukovič… - Physical Review E, 2014 - APS
The pair-approximation method is modified in order to describe systems with geometrical
frustration. The Ising antiferromagnet on a triangular lattice with selective dilution (Kaya …
frustration. The Ising antiferromagnet on a triangular lattice with selective dilution (Kaya …
Frustration in a generalized kagomé Ising antiferromagnet: Exact results
KA Muttalib, JH Barry - Physical Review E, 2022 - APS
We obtain the exact ground-state phase diagram of a generalized kagomé antiferromagnet
with both pair and triplet interactions, J 2 and J 3, respectively, in the presence of a magnetic …
with both pair and triplet interactions, J 2 and J 3, respectively, in the presence of a magnetic …
Communicating through a sea of frustration: Zero-temperature triangular Ising antiferromagnet on a cylinder
''Communication” through the frustrated ground state of a classical triangular Ising
antiferromagnet wrapped on a cylinder is studied via reformulation as imaginary-time …
antiferromagnet wrapped on a cylinder is studied via reformulation as imaginary-time …
Mutual information and breakdown of the Perron-Frobenius scenario in zero-temperature triangular Ising antiferromagnets on cylinders
A nominally two-dimensional spin model wrapped onto a cylinder can profitably be viewed,
especially for long cylinders, as a one-dimensional chain. Each site of such a chain is a ring …
especially for long cylinders, as a one-dimensional chain. Each site of such a chain is a ring …