70 citations · 1.1k across the 69 of their papers we have counts for
69 papers
Geometric clusters in the overlap of the Ising model
Michail Akritidis, Nikolaos G. Fytas, Martin Weigel
We study the percolation properties of geometrical clusters defined in the overlap space of two statistically independent replicas of a square-lattice Ising model that are simulate…
Resampling schemes in population annealing: Numerical and theoretical results
Denis Gessert, Wolfhard Janke, Martin Weigel
The population annealing algorithm is a population-based equilibrium version of simulated annealing. It can sample thermodynamic systems with rough free-energy landscapes more effi…
Universal fragility of spin-glass ground-states under single bond changes
Mutian Shen, Gerardo Ortiz, Yang-Yu Liu +2
We consider the effect of perturbing a single bond on ground-states of nearest-neighbor Ising spin-glasses, with a Gaussian distribution of the coupling constants, across various t…
Two-dimensional dilute Baxter-Wu model: Transition order and universality
A. R. S. Macedo, A. Vasilopoulos, M. Akritidis +3
We investigate the critical behavior of the two-dimensional spin- Baxter-Wu model in the presence of a crystal-field coupling with the goal of determining the universality c…
Simulated annealing, optimization, searching for ground states
Sergio Caracciolo, Alexander K. Hartmann, Scott Kirkpatrick +1
The chapter starts with a historical summary of first attempts to optimize the spin glass Hamiltonian, comparing it to recent results on searching largest cliques in random graphs.…
Cluster Percolation in the Two-Dimensional Ising Spin Glass
Lambert Münster, Martin Weigel
Suitable cluster definitions have allowed researchers to describe many ordering transitions in spin systems as geometric phenomena related to percolation. For spin glasses and some…