104 citations · 1.2k across the 61 of their papers we have counts for
36 papers · 1 filter
Algorithmic overlaps in the Baxter-Wu model: cluster dynamics under Novotny-Evertz updates
Ian Pilé, Lev Shchur
We study the spatial overlap of successive spin configurations generated by Markov chain Monte Carlo simulations of the Baxter-Wu model. Using the Novotny-Evertz sublattice-freezin…
Finite-size analysis in neural network classification of critical phenomena
Vladislav Chertenkov, Evgeni Burovski, Lev Shchur
We analyze the problem of supervised learning of ferromagnetic phase transitions from the statistical physics perspective. We consider two systems in two universality classes, the…
Special Purpose Computers for Statistical Physics: achievements and lessons
Lev N. Shchur
In the late 80s and 90s, theoretical physicists of the Landau Institute for Theoretical Physics designed and developed several specialized computers for challenging computational p…
Mean-field interactions in evolutionary spatial games
Dmitriy Antonov, Evgeni Burovski, Lev Shchur
We introduce a mean-field term to an evolutionary spatial game model. Namely, we consider the game of Nowak and May, based on the Prisoner's dilemma, and augment the game rules by…
Understanding population annealing Monte Carlo simulations
Martin Weigel, Lev Yu. Barash, Lev N. Shchur +1
Population annealing is a recent addition to the arsenal of the practitioner in computer simulations in statistical physics and beyond that is found to deal well with systems with…
Acceptance rate is a thermodynamic function in local Monte Carlo algorithms
Evgeni Burovski, Wolfhard Janke, Maria Guskova +1
We study properties of Markov chain Monte Carlo simulations of classical spin models with local updates. We derive analytic expressions for the mean value of the acceptance rate of…
Relaxation to the equilibrium in the hard disk dynamics
Liliia Ziganurova, Lev N. Shchur
We examine the question of the criteria of the relaxation to the equilibrium in the hard disk dynamics. In the Event-Chain Monte Carlo, we check the displacement distributions whic…
Variable-step-length algorithms for a random walk: hitting probability and computation performance
Olga Klimenkova, Anton Yu. Menshutin, Lev N. Shchur
We present a comparative study of several algorithms for an in-plane random walk with a variable step. The goal is to check the efficiency of the algorithm in the case where the ra…
On properties of the Wang--Landau algorithm
L. N. Shchur
We review recent advances in the analysis of the Wang--Landau algorithm, which is designed for the direct Monte Carlo estimation of the density of states (DOS). In the case of a di…
Synchronization of Conservative Parallel Discrete Event Simulations on a Small-World Network
Liliia Ziganurova, Lev N. Shchur
We examine the question of the influence of sparse long-range communications on the synchronization in parallel discrete event simulations (PDES). We build a model of the evolution…
Influence of the random walk finite step on the first-passage probability
Olga Klimenkova, Anton Menshutin, Lev N. Shchur
A well known connection between first-passage probability of random walk and distribution of electrical potential described by Laplace equation is studied. We simulate random walk…
On the mixing time in the Wang-Landau algorithm
Marina Fadeeva, Lev N. Shchur
We present preliminary results of the investigation of the properties of the Markov random walk in the energy space generated by the Wang-Landau probability. We build transition ma…
Interfacial adsorption in Potts models on the square lattice
N. G. Fytas, A. Malakis, W. Selke +1
We study the effect of interfacial phenomena in two-dimensional perfect and random (or disordered) -state Potts models with continuous phase transitions, using, mainly, Monte Ca…
Duality of critical interfaces in Potts model: numerical check
Alexey Zatelepin, Lev Shchur
We report on numerical investigation of fractal properties of critical interfaces in two-dimensional Potts models. Algorithms for finding percolating interfaces of Fortuin-Kasteley…
Morphological diagram of diffusion driven aggregate growth in plane: competition of anisotropy and adhesion
Anton Yu. Menshutin, Lev. N. Shchur
Two-dimensional structures grown with Witten and Sander algorithm are investigated. We analyze clusters grown off-lattice and clusters grown with antenna method with $N_{fp}=3,4,5,…
Critical amplitude ratios of the Baxter-Wu model
Lev N. Shchur, Wolfhard Janke
A Monte Carlo simulation study of the critical and off-critical behavior of the Baxter-Wu model, which belongs to the universality class of the 4-state Potts model, was performed.…
The critical Binder cumulant in a two--dimensional anisotropic Ising model with competing interaction
W. Selke, L. N. Shchur
The Binder cumulant at the phase transition of Ising models on square lattices with ferromagnetic couplings between nearest neighbors and with competing antiferromagnetic couplings…
Finite size effect of harmonic measure estimation in a DLA model: Variable size of probe particles
Anton Yu. Menshutin, Lev N. Shchur, Valery M. Vinokour
A finite size effect in the probing of the harmonic measure in simulation of diffusion-limited aggregation (DLA) growth is investigated. We introduce a variable size of probe parti…
Universal ratios of critical amplitudes in the Potts model universality class
Bertrand Berche, Paolo Butera, Wolfhard Janke +1
Monte Carlo (MC) simulations and series expansions (SE) data for the energy, specific heat, magnetization, and susceptibility of the three-state and four-state Potts model and Baxt…
Numerical revision of the universal amplitude ratios for the two-dimensional 4-state Potts model
Lev N. Shchur, Bertrand Berche, Paolo Butera
Monte Carlo (MC) simulations and series expansion (SE) data for the energy, specific heat, magnetization and susceptibility of the ferromagnetic 4-state Potts model on the square l…
High-precision determination of universal amplitude ratios for the q=3 Potts model in 2d
Lev N. Shchur, Bertrand Berche, Paolo Butera
Monte Carlo simulations and series expansion data for the energy, specific heat, magnetization and susceptibility of the 3-state Potts model on the square lattice are analyzed in t…
Logarithmic corrections and universal amplitude ratios in the 4-state Potts model
Bertrand Berche, Paolo Butera, Lev Shchur
Monte Carlo and series expansion data for the energy, specific heat, magnetisation and susceptibility of the 4-state Potts model in the vicinity of the critical point are analysed.…
A study of logarithmic corrections and universal amplitude ratios in the two-dimensional 4-state Potts model
Lev Shchur, Bertrand Berche, Paolo Butera
Monte Carlo (MC) and series expansion (SE) data for the energy, specific heat, magnetization and susceptibility of the two-dimensional 4-state Potts model in the vicinity of the cr…
Critical Binder cumulant in two-dimensional anisotropic Ising models
W. Selke, L. N. Shchur
The Binder cumulant at the phase transition of Ising models on square lattices with various ferromagnetic nearest and next-nearest neighbour couplings is determined using mainly Mo…