Butterfly effect and spatial structure of information spreading in a chaotic cellular automaton
Inspired by recent developments in the study of chaos in many-body systems, we construct a
measure of local information spreading for a stochastic cellular automaton in the form of a …
measure of local information spreading for a stochastic cellular automaton in the form of a …
Sparse hard-disk packings and local Markov chains
We propose locally stable sparse hard-disk packings, as introduced by Böröczky, as a
model for the analysis and benchmarking of Markov-chain Monte Carlo (MCMC) algorithms …
model for the analysis and benchmarking of Markov-chain Monte Carlo (MCMC) algorithms …
Irreversible Markov chains by the factorized Metropolis filter: algorithms and applications in particle systems and spin models
M Michel - 2016 - theses.hal.science
This thesis deals with the development and application in statistical physics of a general
framework for irreversible and rejection-free Markov-chain Monte Carlo methods, through …
framework for irreversible and rejection-free Markov-chain Monte Carlo methods, through …
Damage spreading and coupling in spin glasses and hard spheres
K Hukushima, W Krauth - arXiv preprint arXiv:2410.05544, 2024 - arxiv.org
We study the connection between damage spreading, a phenomenon long discussed in the
physics literature, and the coupling of Markov chains, a technique used to bound the mixing …
physics literature, and the coupling of Markov chains, a technique used to bound the mixing …
Algorithms and applications of the Monte Carlo method: Two-dimensional melting and perfect sampling
E Bernard - 2011 - theses.hal.science
This thesis deals with the Monte Carlo method and some of its applications to statistical
physics. The first part concerns the study of the melting transition in two dimensions. The …
physics. The first part concerns the study of the melting transition in two dimensions. The …
[HTML][HTML] Damage spreading in the random cluster model
PH Lundow - Nuclear Physics B, 2022 - Elsevier
We investigate the damage spreading effect in the Fortuin-Kasteleyn random cluster model
for 2-and 3-dimensional grids with periodic boundary. For 2D the damage function has a …
for 2-and 3-dimensional grids with periodic boundary. For 2D the damage function has a …
[PDF][PDF] Non-Reversible Markov-Chain Monte Carlo: Theoretical Foundations and Applications in Molecular Simulation
P Höllmer - 2024 - d-nb.info
The overarching objective of this doctoral thesis is the development of a rigorous paradigm
for molecular simulation based on non-reversible Markov-chain Monte Carlo (MCMC) …
for molecular simulation based on non-reversible Markov-chain Monte Carlo (MCMC) …
Fortuin-Kasteleyn and damage-spreading transitions in random-bond Ising lattices
PH Lundow, IA Campbell - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
The Fortuin-Kasteleyn and heat-bath damage-spreading temperatures T FK (p) and T DS (p)
are studied on random-bond Ising models of dimensions 2–5 and as functions of the …
are studied on random-bond Ising models of dimensions 2–5 and as functions of the …
Damage spreading in a driven lattice gas model
We studied damage spreading in a Driven Lattice Gas (DLG) model as a function of the
temperature T, the magnitude of the external driving field E, and the lattice size. The DLG …
temperature T, the magnitude of the external driving field E, and the lattice size. The DLG …
Phase transitions and damage spreading in a nonequilibrium lattice gas model with mixed dynamic rules
Phase transitions and damage spreading for a lattice gas model with mixed driven lattice
gas (DLG)–Glauber dynamics are studied by means of Monte Carlo simulations. In order to …
gas (DLG)–Glauber dynamics are studied by means of Monte Carlo simulations. In order to …