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As far as we know, there is no flat-histogram algorithm to sample the stationary distribution of non-equilibrium stochastic processes. The present work addresses this gap by introducing a generalization of the Wang-Landau algorithm, applied…

Statistical Mechanics · Physics 2026-02-27 L. M. C. Alencar , T. F. A. Alves , G. A. Alves , F. W. S. Lima , A. Macedo-Filho , R. S. Ferreira

Measurement-induced phases exhibit unconventional dynamics as emergent collective phenomena, yet their behavior in tailored interacting systems -- crucial for quantum technologies -- remains less understood. We develop a systematic toolbox…

Quantum Physics · Physics 2025-06-24 Zejian Li , Anna Delmonte , Xhek Turkeshi , Rosario Fazio

We present a new Monte Carlo algorithm that produces results of high accuracy with reduced simulational effort. Independent random walks are performed (concurrently or serially) in different, restricted ranges of energy, and the resultant…

Statistical Mechanics · Physics 2009-10-31 Fugao Wang , D. P. Landau

Dynamical systems with large state-spaces are often expensive to thoroughly explore experimentally. Coarse-graining methods aim to define simpler systems which are more amenable to analysis and exploration; most current methods, however,…

Systems and Control · Computer Science 2016-11-01 Michalis Michaelides , Dimitrios Milios , Jane Hillston , Guido Sanguinetti

The random field Ising model is studied numerically at both zero and positive temperature. Ground states are mapped out in a region of random and external field strength. Thermal states and thermodynamic properties are obtained for all…

Statistical Mechanics · Physics 2009-11-11 Yong Wu , Jon Machta

We apply the recently developed critical minimum energy subspace scheme for the investigation of the random-field Ising model. We point out that this method is well suited for the study of this model. The density of states is obtained via…

Statistical Mechanics · Physics 2007-05-23 Anastasios Malakis , Nikolaos G. Fytas

The aim of this work is to learn models of population dynamics of physical systems that feature stochastic and mean-field effects and that depend on physics parameters. The learned models can act as surrogates of classical numerical models…

Machine Learning · Statistics 2024-10-28 Jules Berman , Tobias Blickhan , Benjamin Peherstorfer

We implement a two-stage approach of the Wang-Landau algorithm to investigate the critical properties of the 3D Ising model with quenched bond randomness. In particular, we consider the case where disorder couples to the nearest-neighbor…

Statistical Mechanics · Physics 2011-06-03 P. E. Theodorakis , N. G. Fytas

We present a new Monte Carlo algorithm applying a history-driven mechanism for the calculation of the density of states for classical statistical models. The new method is as efficient as the Wang-Landau method in sampling through the…

Statistical Mechanics · Physics 2011-12-01 Shijun Lei

To address the magnetization dynamics in ferromagnetic materials described by the Landau-Lifshitz-Gilbert equation under large damping parameters, a third-order accurate numerical scheme is developed by building upon a second-order method…

Numerical Analysis · Mathematics 2025-10-31 Changjian Xie , Cheng Wang

Artificial antiferromagnets and synthetic metamagnets have attracted much attention recently due to their potential for many different applications. Under some simplifying assumptions these systems can be modeled by thin Ising metamagnetic…

Statistical Mechanics · Physics 2011-10-18 Yen-Liang Chou , Michel Pleimling

In this work we apply Wang-Landau simulations to a simple model which has exact solutions both in the microcanonical and canonical formalisms. The simulations were carried out by using an updated version of the Wang-Landau sampling. We…

Statistical Mechanics · Physics 2015-06-05 Lucas S. Ferreira , Alvaro A. Caparica , Minos A. Neto , Mircea D. Galiceanu

We report on numerical simulations of the two-dimensional Blume-Capel ferromagnet embedded in the triangular lattice. The model is studied in both its first- and second-order phase transition regime for several values of the crystal field…

Statistical Mechanics · Physics 2011-02-04 N. G. Fytas

We analyze the efficiency of the Wang-Landau algorithm to sample a multimodal distribution on a prototypical simple test case. We show that the exit time from a metastable state is much smaller for the Wang Landau dynamics than for the…

Numerical Analysis · Mathematics 2014-02-11 G. Fort , B. Jourdain , E. Kuhn , T Lelièvre , G. Stoltz

Predicting the phase diagram of interacting quantum many-body systems is a challenging problem in condensed matter physics. Strong interactions and correlation effects may lead to exotic states of matter, such as quantum spin liquids and…

Strongly Correlated Electrons · Physics 2025-02-18 Pascal M. Vecsei , Jose L. Lado , Christian Flindt

Critical properties of lattice gases with nearest-neighbor exclusion are investigated via the adaptive-window Wang-Landau algorithm on the square and simple cubic lattices, for which the model is known to exhibit an Ising-like phase…

Statistical Mechanics · Physics 2015-05-19 A. G. Cunha-Netto , Ronald Dickman

We review the recently developed critical minimum energy-subspace (CrMES) technique. This scheme produces an immense optimization of popular algorithms, such as the Wang-Landau (WL) and broad histogram methods, by predicting the essential…

Statistical Mechanics · Physics 2008-02-01 Anastasios Malakis , Nikolaos G. Fytas

We investigate the density of states (DOS) in an antiferromagnetic spin-system on a square lattice described by the Blume-Capel (BC) model. We use a new and very efficient simulation method, proposed by Wang and Landau, in which we estimate…

Other Condensed Matter · Physics 2009-11-13 G. Pawlowski

In this work we investigate the behavior of the microcanonical and canonical averages of the two-dimensional Ising model during the Wang-Landau simulation. The simulations were carried out using conventional Wang-Landau sampling and the…

Statistical Mechanics · Physics 2015-11-09 Alvaro de Almeida Caparica , Antonio Gonçalves da Cunha Netto

We apply the Linear Logarithmic Relaxation (LLR) method, which generalizes the Wang-Landau algorithm to quantum systems with continuous degrees of freedom, to the fermionic Hubbard model with repulsive interactions on the honeycomb lattice.…

High Energy Physics - Lattice · Physics 2020-09-16 Michael Körner , Kurt Langfeld , Dominik Smith , Lorenz von Smekal