An efficient, multiple range random walk algorithm to calculate the density of states

Abstract

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 density of states is modified continuously to produce locally flat histograms. This method permits us to directly access the free energy and entropy, is independent of temperature, and is efficient for the study of both 1st order and 2nd order phase transitions. It should also be useful for the study of complex systems with a rough energy landscape.

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• Multistability in an unusual phase diagram induced by the competition between antiferromagnetic-like short-range and ferromagnetic-like long-range interactions
• Computer simulation of two continuous spin models using Wang-Landau-Transition-Matrix Monte Carlo Algorithm
• Efficiency of Monte Carlo Sampling in Chaotic Systems
• Density of states determined from Monte Carlo simulations
• Scaling and self-averaging in the three-dimensional random-field Ising model
• Low-temperature statistical mechanics of the QuanTizer problem: fast quenching and equilibrium cooling of the three-dimensional Voronoi Liquid
• Dilution effect in correlated electron system with orbital degeneracy
• Ferromagnetic Potts models with multisite interaction
• Yang-Lee Zeros of the Triangular Ising Antiferromagnets
• An Efficient Simulation Protocol for Determining the Density of States: Combination of Replica-Exchange Wang-Landau Method and Multicanonical Replica-Exchange Method
• The Gibbs-plaid biclustering model
• Exploring Replica-Exchange Wang-Landau sampling in higher-dimensional parameter space
• Towards an optimal flow: Density-of-states-informed replica-exchange simulations
• Programmable phase behavior in fluids with designable interactions
• Trajectory averaging for stochastic approximation MCMC algorithms
• Two phase transitions in the two-dimensional nematic 3-vector model with no quasi long-range order: Monte Carlo simulation of the density of states
• Monte Carlo study of the antiferromagnetic three-state Potts model with staggered polarization field on the square lattice
• Universal cover-time distribution of heterogeneous random walks
• The Random-Bond Ising Model and its dual in Hyperbolic Spaces
• Lattice glass model in three spatial dimensions
• Broad histogram relation for the bond number and its applications
• Re-orientation Transition in Molecular Thin Films: Potts Model with Dipolar Interaction
• Density of states approach for lattice gauge theory with a $\theta$-term
• Automatic Contraction of Unstructured Tensor Networks
• Equilibrium Microcanonical Annealing for First-Order Phase Transitions
• Criticality in the randomness-induced second-order phase transition of the triangular Ising antiferromagnet with nearest- and next-nearest-neighbor interactions
• Generalized-ensemble simulations of spin systems and protein systems
• Analytical study of tunneling times in flat histogram Monte Carlo
• Dual Geometric Worm Algorithm for Two-Dimensional Discrete Classical Lattice Models
• Phase transitions and thermodynamic properties of antiferromagnetic Ising model with next-nearest-neighbor interactions on the Kagome lattice
• An entropic simulational study of the spin-$1$ Baxter-Wu model in a crystal field
• A simple protocol for the probability weights of the simulated tempering algorithm: applications to first-order phase transitions
• A Monte Carlo Algorithm for Sampling Rare Events: Application to a Search for the Griffiths Singularity
• Thermodynamic properties and correlation functions of Ar films on the surface of a bundle of nanotubes
• A new Wang-Landau approach to obtain phase diagrams for multicomponent alloys
• Monte Carlo simulation of joint density of states in one-dimensional Lebwohl-Lasher model using Wang-Landau algorithm
• Large N matrices from a nonlocal spin system
• Generative Grading: Near Human-level Accuracy for Automated Feedback on Richly Structured Problems
• Condensation of preformed charge density waves in kagome metals
• Stochastic approximation of dynamical exponent at quantum critical point
• A portable and flexible implementation of the Wang--Landau algorithm in order to determine the Density of States
• Influence of cutoff dipole interaction radius and dilution on phase transition in kagome artificial spin ice
• A study of polymer knots using a simple knot invariant written consisting of multiple contour integrals
• The freezing phase transition in hard core lattice gases on triangular lattice with exclusion up to seventh next-nearest neighbor
• Warp Bridge Sampling: The Next Generation
• Benchmark free energies and entropies for saturated and compressed water
• Elastic heterogeneity governs asymmetric adsorption-desorption in a soft porous crystal
• Thermal destruction of chiral order in a two-dimensional model of coupled trihedra
• Importance Sampling of Rare Events in Chaotic Systems
• Entropy from Machine Learning
• Wang-Landau study of the random bond square Ising model with nearest- and next-nearest-neighbor interactions
• Qualitative aspects of the phase diagram of J1-J2 model on the cubic lattice
• Magnetic Properties of (La0.56Ce0.14)Sr0.30MnO3 Perovskite
• Comparison of two efficient methods for calculating partition functions
• Classical and Quantum Annealing in the Median of Three Satisfiability
• An Efficient Monte-Carlo Method for Calculating Free-Energy in Long-Range Interacting Systems
• Partition Functions from Rao-Blackwellized Tempered Sampling
• Density of States of the lattice Schwinger model
• Generalized-ensemble simulations and cluster algorithms
• The Wang-Landau algorithm reaches the flat histogram criterion in finite time
• Intrinsic convergence properties of entropic sampling algorithms
• Depletion interaction between two ellipsoids
• Direct coupling of first-principles calculations with replica exchange Monte Carlo sampling of ion disorder in solids
• Monte Carlo study of the critical properties of noncollinear Heisenberg magnets: $O(3)\times O(2)$ universality class
• Finite-temperature local protein sequence alignment: percolation and free-energy distribution
• "Pull moves" for rectangular lattice polymer models are not fully reversible
• A string reaction coordinate for the folding of a polymer chain
• Thermodynamics of the Adsorption of Flexible Polymers on Nanowires
• Fibril elongation mechanisms of HET-s prion-forming domain: Topological evidence for growth polarity
• PHAST: Protein-like heteropolymer analysis by statistical thermodynamics
• Magnetic phase transition in coupled spin-lattice systems: A replica-exchange Wang-Landau study
• Critical behavior of hard-core lattice gases: Wang-Landau sampling with adaptive windows
• Crossover scaling in the two-dimensional three-state Potts model
• A new comprehensive study of the 3D random-field Ising model via sampling the density of states in dominant energy subspaces
• Hard core lattice gas with third next-nearest neighbor exclusion on triangular lattice: one or two phase transitions?
• Structural Arrangements of Polymers Adsorbed at Nanostrings
• Large deviations and phase transitions in spectral linear statistics of Gaussian random matrices
• Convergence of Stochastic Approximation Monte Carlo and modified Wang-Landau algorithms: Tests for the Ising model
• Topological features of the deconfinement transition
• Reexamination of the mean-field phase diagram of biaxial nematic liquid crystals: Insights from Monte Carlo studies
• Temperature measurement from perturbations
• Calculation of the Residual Entropy of Ice Ih by Monte Carlo simulation with the Combination of the Replica-Exchange Wang-Landau algorithm and Multicanonical Replica-Exchange Method
• Mass-scaling replica-exchange molecular dynamics optimizes computational resources with simpler algorithm
• Extending canonical Monte Carlo methods
• The Rubber Band Revisited: Wang-Landau Simulation
• Scaling and entropy in p-median facility location along a line
• Flat Energy-Histogram Simulation of the Phase Transition in an Ising Fully Frustrated Lattice
• Nematics with quenched disorder : violation of self-averaging
• The Wang-Landau Algorithm as Stochastic Optimization and Its Acceleration
• Funnel Hopping Monte Carlo: An efficient method to overcome broken ergodicity
• The topological properties of QCD at high temperature: problems and perspectives
• Dynamic Canonical and Microcanonical Transition Matrix Analyses of Critical Behavior
• A brief history of the introduction of generalized ensembles to Markov chain Monte Carlo simulations
• The density of states of classical spin systems with continuous degrees of freedom
• A Contour Stochastic Gradient Langevin Dynamics Algorithm for Simulations of Multi-modal Distributions
• Numerical Determination of the Distribution of Energies for the XY-model
• Spontaneous dimensional reduction and novel ground state degeneracy in a simple chain model
• Impact of Friedel oscillations on vapor-liquid equilibria and supercritical properties in 2D and 3D
• Accelerated rare event sampling
• Transitions of tethered chain molecules under tension
• Critical and multicritical behavior in the Ising-Heisenberg universality class
• Dynamics and thermodynamics of a pair of interacting magnetic dipoles
• Shape-free theory for the self-assembly kinetics in macromolecular systems
• Fluctuation-induced first order phase transitions in type-1.5 superconductors in zero external field
• Spin-glass dynamics: experiment, theory and simulation
• Evolution of Genetic Redundancy : The Relevance of Complexity in Genotype-Phenotype Mapping
• Pseudo-Phase Transitions of Ising and Baxter-Wu Models in Two-Dimensional Finite-Size Lattices
• Blume-Capel model analysis with microcanonical population annealing method
• $W$ : an alternative phenomenological coupling parameter for model systems
• Dynamically Optimized Wang-Landau Sampling with Adaptive Trial Moves and Modification Factors
• Thermal critical behavior and universality aspects of the three-dimensional random-field Ising model
• Solid-solid transition of the size-polydisperse hard-sphere system
• Emergence of a finite-size-scaling function in the supervised learning of the Ising phase transition
• Phase diagram of a ferromagnetic semiconductor. The origin of superparamagnetism
• Finite-size scaling considerations on the ground state microcanonical temperature in entropic sampling simulations
• Distribution of metastable states of Ising spin glasses
• Theoretical study of the finite temperature spectroscopy in van der Waals clusters. III Solvated Chromophore as an effective diatomics
• Equilibrium sampling by re-weighting non-equilibrium simulation trajectories
• Perturbation method to calculate the density of states
• Renormalized Multicanonical Sampling
• Random-strain-induced correlations in materials with intertwined nematic and magnetic orders
• Designing Multivalent Copolymers for Selective Targeting of Multicomponent Surfaces
• Detecting structured sources in noisy images via Minkowski maps
• Determining efficient temperature sets for the simulated tempering method
• On properties of the Wang--Landau algorithm
• Dynamical large deviations of the fractional Ornstein-Uhlenbeck process
• Stochastic Sampling of Operator Growth Dynamics
• Entropy of unimodular Lattice Triangulations
• Improving the efficiency of Monte Carlo simulations of systems that undergo temperature-driven phase transitions
• Large-deviations of the SIR model around the epidemic threshold
• Adsorption of polymers at nanowires
• Confined-deconfined interface tension and latent heat in SU(N) gauge theory
• Evolutionary Monte Carlo of QM properties in chemical space: Electrolyte design
• Discussion of "Equi-energy sampler" by Kou, Zhou and Wong
• Phase Diagram of Flexible Polymers with Quenched Disordered Charged Monomers
• Metastability in Markov processes
• Determination of CFT central charge by the Wang-Landau algorithm
• Mapping Energy Landscapes of Non-Convex Learning Problems
• Entropy-Driven Microstructure Evolution Predicted with the Steepest-Entropy-Ascent Quantum Thermodynamic Framework
• Ground-state properties of tubelike flexible polymers
• Order-disorder transition in a two-dimensional associating lattice gas
• Flat histogram diagrammatic Monte Carlo method
• Computational Statistical Mechanics of a confined, three-dimensional Coulomb gas
• Zero-temperature Monte Carlo study of the non-coplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice
• Histogram-Free Multicanonical Monte Carlo Sampling to Calculate the Density of States
• Program package for multicanonical simulations of U(1) lattice gauge theory
• Application of Simulated Tempering and Magnetizing to a Two-Dimensional Potts Model
• Marginally compact phase and ordered ground states in a model polymer with side spheres
• An \emph{ab initio} study of structural phase transitions of crystalline aluminum under ultrahigh pressures based on ensemble theory
• Dynamic Greedy Algorithms for the Edwards-Anderson Model
• Applying the Wang-Landau Algorithm to Lattice Gauge Theory
• A Projected Entropy Controller for Transition Matrix Calculations
• Phase behaviour and self-assembly of semiflexible polymers in poor-solvent solutions
• Bidirectional-Stability Breaking in Thermodynamic Average for Classical Discrete Systems
• Folding a protein with equal probability of being helix or hairpin
• Self-assembly and entropic effects in pear-shaped colloid systems: II. Depletion attraction of pear-shaped particles in a hard sphere solvent
• Extending canonical Monte Carlo methods II
• Phase transition of two-dimensional generalized XY model
• Random matrix ensembles: Wang-Landau algorithm for spectral densities
• Residual entropy from temperature incremental Monte Carlo method
• Activated sampling in complex materials at finite temperature: the properly-obeying-probability activation-relaxation technique
• Extended canonical Monte Carlo methods: Improving accuracy of microcanonical calculations using a re-weighting technique
• Sampling algorithms in statistical physics: a guide for statistics and machine learning
• Wang-Landau simulations with non-flat distributions
• A Cluster Controller for Transition Matrix Calculations
• Quantum walk processes in quantum devices
• ${\varphi }^4$ lattice model with cubic symmetry in three dimensions: RG-flow and first order phase transitions
• Split Sampling: Expectations, Normalisation and Rare Events
• Flat histogram method comparison on 2D Ising Model
• Multicanonical simulation of the Domb-Joyce model and the Go model: new enumeration methods for self-avoiding walks
• Genus dependence of the number of (non-)orientable surface triangulations
• Kinetics of first-order phase transitions from microcanonical thermostatistics
• Reduced critical slowing down for statistical physics simulations
• Monte Carlo Simulation of Long Hard-Sphere Polymer Chains in Two to Five Dimensions
• Unbiased computation of transition times by pathway recombination
• Thermodynamic properties of rod-like chains: entropic sampling simulations
• Solving the Master Equation for Extremely Long Time Scale Calculations
• Information theoretical view of QCD effective model with heavy quarks
• Numerical Aspects of Large Deviations
• Elasticity of a polydisperse hard-sphere crystal
• Vertical-likelihood Monte Carlo
• BraWl: Simulating the thermodynamics and phase stability of multicomponent alloys using conventional and enhanced sampling techniques
• The statistical mechanics of Twitter
• Coarse-grained lattice model for investigating the role of cooperativity in molecular recognition
• A growth walk model for estimating the canonical partition function of Interacting Self Avoiding Walk
• Transition matrix Monte Carlo method for quantum systems
• Reducing autocorrelation time in determinant quantum Monte Carlo using Wang-Landau algorithm: application to Holstein model
• Entropy as a function of magnetization for a 2D spin-ice model exhibiting a Kasteleyn transition
• Morphological Similarities between Single-walled Nanotubes and Tubelike Structures of Polymers with Strong Adsorption Affinity to Nanowires
• Tricriticality in Crossed Ising Chains
• Effective charging energy of the single electron box
• Nonflat Histogram Techniques for Spin Glasses
• Exact expression for the number of states in lattice models
• Density of states for systems with multiple order parameters: a constrained Wang-Landau method
• Irreversible swap algorithms for soft sphere glasses
• Comparison of the microcanonical population annealing algorithm with the Wang-Landau algorithm
• Thermodynamics of two lattice ice models in three dimensions
• Thermally activated particle motion in biased correlated Gaussian disorder potentials
• Classical and Quantum Gases on a Semiregular Mesh
• A New Monte Carlo Algorithm for Free Energy Calculation
• Monte Carlo simulations of the disordered three-color quantum Ashkin-Teller chain
• Metadynamics study of the temperature dependence of magnetic anisotropy and spin-reorientation transitions in ultrathin films
• Revisiting strong coupling QCD at finite temperature and baryon density
• Extension of the constant exchange probability method to multi-dimensional replica exchange Monte Carlo applied to the tri-critical spin-1 Blume-Capel model
• Liquid crystal films on curved surfaces: An entropic sampling study
• Ginzburg-Landau free energy for molecular fluids: determination and coarse-graining
• Flat histogram Monte Carlo simulations of triangulated fixed-connectivity surface models
• Monte Carlo analysis of critical phenomenon of the Ising model on memory stabilizer structures
• Equivalence between microcanonical methods for lattice models
• Wang-Landau study of lattice gases on geodesic grids
• Taming chaos to sample rare events: the effect of weak chaos
• The density of states approach for the simulation of finite density quantum field theories
• A List Referring Monte Carlo Method for Lattice Glass Models
• Relative Resolution: A Multipole Approximation at Appropriate Distances
• Connecting the Unstable Region of the Entropy to the Pattern of the Fisher's Zeros Map
• Ising distribution as a latent variable model
• Finite size scaling in the dimer and six-vertex model
• Patchwork Sampling of Stochastic Differential Equations
• Dynamical traps in Wang-Landau sampling of continuous systems: Mechanism and solution
• Incommensurate Short-Range Order in $S=1$ Triangular Lattice Ising Antiferromagnet
• Tropical Limit for Configurational Geometry in Discrete Thermodynamic Systems
• Real Time Simulations of Quantum Spin Chains: Density-of-States and Reweighting approaches
• Semiparametric energy-based probabilistic models
• A Definition of Metastability for Markov Processes with Detailed Balance
• Nonequilibrium Reweighting on the Driven Diffusive Lattice Gas
• Emergent B2 chemical orderings in the AlTiVNb and AlTiCrMo refractory high-entropy superalloys studied via first-principles theory and atomistic modelling
• Search space analysis with Wang-Landau sampling and slow adaptive walks
• Thermodynamics of the spin square
• Finding the Dominant Zero of the Energy Probability Distribution
• Accuracy and Efficiency of Simplified Tensor Network Codes
• Multicanonical reweighting for the QCD topological susceptibility
• Phenotype selection due to mutational robustness
• Squeezed and fragmented states of strongly interacting bosons in a double well. Part II: Quantum Monte Carlo simulations
• Unusual changeover in the transition nature of local-interaction Potts models
• Number squeezed and fragmented states of strongly interacting bosons in a double well
• A Parallel Evolutionary Multiple-Try Metropolis Markov Chain Monte Carlo Algorithm for Sampling Spatial Partitions
• Unimodular lattice triangulations as small-world and scale-free random graphs
• Surface adsorption of lattice HP proteins: Thermodynamics and structural transitions using Wang-Landau sampling
• Equilibriumlike invaded cluster algorithm: critical exponents and dynamical properties
• Multicanonical molecular dynamics by variable-temperature thermostats and variable-pressure barostats
• Large deviation and anomalous fluctuations scaling in degree assortativity on configuration networks
• Universality class of a displacive structural phase transition in two dimensions
• Large deviations of connected components in the stochastic block model
• Exploring the free energy gain of phase separation via Markov State Modeling
• Complex free energy landscapes in biaxial nematics and role of repulsive interactions : A Wang - Landau study
• Numerical estimates of square lattice star vertex exponents
• A null model for Dunbar's circles
• Accelerating the convergence of replica exchange simulations using Gibbs sampling and adaptive temperature sets
• Efficient simulated tempering with approximated weights: Applications to first-order phase transitions
• Changeover phenomenon in randomly colored Potts models
• Measuring free energy in parallel tempering Monte Carlo
• Parallel Statistical Multi-resolution Estimation
• New Methods for Calculating the Free Energy of Charged Defects in Solid Electrolytes
• Thermodynamics of the classical spin triangle
• Rare event sampling with stochastic growth algorithms
• Configurational entropy, transition rates, and optimal interactions for rapid folding in coarse-grained model proteins
• Predicting Defect Stability and Annealing Kinetics in Two-Dimensional PtSe${}_2$ Using Steepest Entropy Ascent Quantum Thermodynamics
• Predicting Polymer Brush Behavior in Solvents using the Steepest-Entropy-Ascent Quantum Thermodynamic Framework
• Free Energy Methods for Bayesian Inference: Efficient Exploration of Univariate Gaussian Mixture Posteriors
• Ising-like models on Euclidean black holes
• Free energy and metastable states in the square-lattice $J_1$-$J_2$ Ising model
• Numerical simulation study of the dynamical behavior of the Niedermayer algorithm
• Uncovering the secrets of the 2d random-bond Blume-Capel model
• Residual Entropy of Ice: A Study Based on Transfer Matrices
• Partial order in a frustrated Potts model
• Orbital Magnetic Field Driven Metal-Insulator Transition in Strongly Correlated Electron Systems
• Spin-$S$ Ising models with multispin interactions on the one-dimensional chain and two-dimensional square lattice
• Efficient sampling using Macrocanonical Monte Carlo and density of states mapping
• The CrMES scheme as an alternative to Importance Sampling: The tail regime of the order-parameter distribution
• Influence of correlations on molecular recognition
• Aromatic Species in the Molecular Universe
• Novel Monte Carlo algorithms and their applications
• Binary tree summation Monte Carlo simulation for Potts models
• Confusion-driven machine learning of structural phases of a flexible, magnetic Stockmayer polymer
• Nonequilibrium-relaxation approach to quantum phase transitions: Nontrivial critical relaxation in cluster-update quantum Monte Carlo
• The disordered flat phase of a crystal surface - critical and dynamic properties
• Optimisation via Slice Sampling
• Performance of Wang-Landau algorithm in lattice model of liquid crystals
• Self-Avoiding Random Dynamics on Integer Complex Systems
• Elucidation of Conformational Hysteresis on a Giant DNA
• Comment on "Calculation of microcanonical entropy differences from configurational averages"
• Adaptive Cluster Expansion for Ising spin models
• Monte Carlo Approximation of Bayes Factors via Mixing with Surrogate Distributions
• Phase probabilities in first-order transitions using machine learning
• Wang-Landau simulation for the quasi-one-dimensional Ising model
• Efficient computations of continuous action densities of states for lattice models
• Lattice star and acyclic branched polymer vertex exponents in 3d
• Diffusion in the Continuous-Imaginary-Time Quantum World-Line Monte Carlo Simulations with Extended Ensembles
• Self-Healing Umbrella Sampling: Convergence and efficiency
• First-order transition in the stacked-$J_1$-$J_2$ Ising model on a cubic lattice
• A splitting Hamiltonian Monte Carlo method for efficient sampling
• Entropic sampling dynamics of the globally-coupled kinetic Ising model
• Jamming in Hierarchical Networks
• Sampling in the multicanonical ensemble: Small He clusters in W
• Quantum Annealing Algorithms for Estimating Ising Partition Functions
• Anharmonic infrared spectra of cationic pyrene and superhydrogenated derivatives
• Spectral properties of unimodular lattice triangulations
• Wang-Landau algorithm for entropic sampling of arch-based microstates in the volume ensemble of static granular packings
• Dissecting a Small Artificial Neural Network
• Nontrivial Ground State Degeneracy of the Spin-Pseudospin Model of a Two-Dimensional Magnet Near the Frustration Point
• Phase transitions in voting simulated by an intelligent Ising model
• Avoiding critical slowdown in models with SALR interactions
• Folding kinetics of a polymer [corrigendum]
• Optimal parallelisation strategies for flat histogram Monte Carlo sampling
• Numerical determination of the CFT central charge in the site-diluted Ising model
• Computing quantum phase transitions
• Harmonic-to-anharmonic thermodynamic integration made simple using REG TI
• Topological Transition to a Critical Phase in a Two-dimensional 3-Vector Model with non-Abelian Fundamental Group: A Simulational Study
• A histogram-free multicanonical Monte Carlo algorithm for the basis expansion of density of states
• Cooperative "folding transition" in the sequence space facilitates function-driven evolution of protein families
• A micro-macro Markov chain Monte Carlo method for molecular dynamics using reaction coordinate proposals I: direct reconstruction
• On the mixing time in the Wang-Landau algorithm
• Onset of stripe order in classical fluids: Lessons from lattice-gas mixtures
• Multicanonical Monte Carlo Ensemble Growth Algorithm
• The application of Monte Carlo methods for learning generalized linear model
• The Generic Unfolding of a Biomimetic Polymer during Force Spectroscopy
• Transition Matrix Cluster Algorithms
• A Single Microscopic State to Characterize Ordering Tendency in Discrete Multicomponent System
• Configuration space partitioning in tilings of a bounded region of the plane
• Rejection-free cluster Wang-Landau algorithm for hard-core lattice gases
• Amino acid chiral amplification using Monte Carlo dynamic
• Resampling schemes in population annealing -- numerical results
• A numerical method for determining the interface free energy
• Multispin Coding Technique for Nonequilibrium Reweighting
• Absolute Monte Carlo estimation of integrals and partition functions
• Finite temperature crossover from a crystalline to a cluster phase for a confined finite chain of ions
• Usefulness of an equal-probability assumption for out-of-equilibrium states: a master equation approach
• Stochastic Approximation Monte Carlo with a Dynamic Update Factor
• Global Thermodynamic Properties of Complex Spin Systems Calculated from Density of States and Indirectly by Thermodynamic Integration Method
• Elastic heterogeneity governs anomalous scaling in a soft porous crystal
• Dynamical behavior of the Niedermayer algorithm applied to Potts models
• Spiking neurons with short-term synaptic plasticity form superior generative networks
• Orientational ordering of water molecules confined in beryl: A theoretical study
• Patterns that persist: Heritable information in stochastic dynamics
• A Superparamagnetic State Induced by a Spin Reorientation Transition in Ultrathin Magnetic Films
• The Accuracy and Performance Analysis of the 1/t Wang-Landau Algorithm in the Joint Density of States Estimation
• Speeding up the construction of slow adaptive walks
• Exact recording of Metropolis-Hastings-class Monte Carlo simulations using one bit per sample
• FreeBird.jl: An Extensible Toolbox for Simulating Interfacial Phase Equilibria
• Multirange Ising model on the square lattice
• Universality in the two-dimensional dilute Baxter-Wu model
• A Local Approach for Identifying Clusters in Networks
• Surveying an Energy Landscape
• Adaptive Metropolis-Hastings Sampling using Reversible Dependent Mixture Proposals
• Tilings of a bounded region of the plane by maximal one-dimensional tiles
• Computational Frameworks for Patterned Two-Dimensional Magnetism
• How to estimate the number of self-avoiding walks over 10^100? Use random walks
• Tropical Diagram for Linear-Nonlinear Boundary in Canonical Ensemble
• Computational complexity and simulation of rare events of Ising spin glasses
• Accelerating Multicanonical Sampling with Irreversibility
• Metropolis and Wang-Landau Algorithms
• Efficiency of the Wang-Landau algorithm: a simple test case
• Phase Diagram of the Kitaev-type Model on a Decorated Honeycomb Lattice in the Isolated Dimer Limit
• Hierarchical autoregressive neural networks in three-dimensional statistical system
• An attraction-repulsion point process model for respiratory syncytial virus infections
• How to calculate quantum quench distributions with a weighted Wang-Landau Monte Carlo
• On the application of the Critical Minimum Energy Subspace method to disordered systems
• Comparison of Sampling Methods via Robust Free Energy Inference: Application to Calmodulin
• Density of states and ground state magnetic ordering of the triangular lattice three-state Potts model
• RNA Secondary Structures: Complex Statics and Glassy Dynamics
• Berezinskii-Kosterlitz-Thouless phase transitions of the antiferromagnetic Ising model with ferromagnetic next-nearest-neighbor interactions on the kagome lattice
• Monte Carlo simulations of proteins in cages: influence of confinement on the stability of intermediate states
• Enhanced Sampling Algorithms
• Almost sure convergence of the accelerated weight histogram algorithm
• Minimal energy ensemble Monte Carlo for the partition function of fermions coupled to classical fields
• Reconstructing the energy landscape of a distribution from Monte Carlo samples
• Exploring the Potential of Parallel Biasing in Flat Histogram Methods
• Thermodynamic properties of the finite-temperature electron gas by the fermionic path integral Monte Carlo method
• Non-Boltzmann Ensembles and Monte Carlo Simulation
• Efficient implementation of the Wang-Landau algorithm for systems with length-scalable potential energy functions
• Construction of a Neural Network with Temperature-Dependent Recall Patterns
• Frustration of signed networks: How does it affect the thermodynamic properties of a system?
• Statistical mechanical models of integer factorization problem
• Efficient Microcanonical Histogram Analysis and Application to Peptide Aggregation