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Understanding the microstructural influence on the failure mechanisms in multi-phase materials calls for the identification of the worst-case scenario. This necessitates a statistical approach. By performing simulations directly based on…

Materials Science · Physics 2016-12-06 T. W. J. de Geus , J. E. P. van Duuren , R. H. J. Peerlings , M. G. D. Geers

We present iterative Monte Carlo algorithm for which the temperature variable is attracted by a critical point. The algorithm combines techniques of single histogram reweighting and linear filtering. The 2d Ising model of ferromagnet is…

Statistical Mechanics · Physics 2015-06-24 M. Gmitra , D. Horvath

Hypoelliptic diffusion processes can be used to model a variety of phenomena in applications ranging from molecular dynamics to audio signal analysis. We study parameter estimation for such processes in situations where we observe some…

Methodology · Statistics 2007-10-30 Y. Pokern , A. M. Stuart , P. Wiberg

Taking the two-dimensional Ising model for example, short-time behavior of critical dynamics with a conserved order parameter is investigated by Monte Carlo simulations. Scaling behavior is observed, but the dynamic exponent $z$ is updating…

Statistical Mechanics · Physics 2009-11-07 B. Zheng

Statistical parametric models are proposed to explain the values of the Planck constant obtained by comparing electrical and mechanical powers and by counting atoms in Si 28 enriched crystals. They assume that uncertainty contributions --…

Data Analysis, Statistics and Probability · Physics 2016-01-22 Giovanni Mana

The general fluctuation theory is reviewed with special attention to the role played by different ensembles, and is extended to incorporate stationary metastable states obtained in the long time limit. The fluctuation in a quantity depends…

Statistical Mechanics · Physics 2007-05-23 P. D. Gujrati

Dynamic facilitation theory assumes short-ranged dynamic constraints to be the essential feature of supercooled liquids and draws much of its conclusions from the study of kinetically constrained models. While deceptively simple, these…

Materials Science · Physics 2012-06-12 Thomas Speck , David Chandler

Many quantum technologies rely on high-precision dynamics, which raises the question of how these are influenced by the experimental uncertainties that are always present in real-life settings. A standard approach in the literature to…

Quantum Physics · Physics 2022-04-27 Mogens Dalgaard , Carrie A. Weidner , Felix Motzoi

We compare the dispersion of the charges in a central rapidity box according to the Dual Parton Model with the predictions of statistical models. Significant deviations are found in heavy ion collisions at RHIC and LHC energies. Hence the…

High Energy Physics - Phenomenology · Physics 2009-01-07 Fritz W. Bopp , Johannes Ranft

Propagating nuclear uncertainties to nucleosynthesis simulations is key to understand the impact of theoretical uncertainties on the predictions, especially for processes far from the stability region, where nuclear properties are scarcely…

Solar and Stellar Astrophysics · Physics 2025-10-06 S. Martinet , G. Goriely , A. Choplin , L. Siess

Large particle systems are often described by high-dimensional (linear) kinetic equations that are simulated using Monte Carlo methods for which the asymptotic convergence rate is independent of the dimensionality. Even though the…

Nanomechanical responses (force-time profiles) of crystal lattices under deformation exhibit random critical jumps, reflecting the underlying structural transition processes. Despite extensive data collection, interpreting dynamic critical…

Materials Science · Physics 2024-07-26 Arijit Maitra , M. P. Gururajan

Crystal plasticity models connect macroscopic deformation with the physics of microscale slip in polycrystalline materials. These models can be calibrated using global stress-strain curves, but the resulting parametrization is often not…

Materials Science · Physics 2026-03-24 Joshua D. Pribe , Patrick E. Leser , Saikumar R. Yeratapally , George Weber

As has long been known to computer scientists, the performance of probabilistic algorithms characterized by relatively large runtime fluctuations can be improved by applying a restart, i.e., episodic interruption of a randomized…

Statistical Mechanics · Physics 2023-06-21 Dmitry Starkov , Sergey Belan

Autocatalytic fibril nucleation has recently been proposed to be a determining factor for the spread of neurodegenerative diseases, but the same process could also be exploited to amplify minute quantities of protein aggregates in a…

Quantitative Methods · Quantitative Biology 2016-09-23 Giulio Costantini , Zoe Budrikis , Alessandro Taloni , Alexander K. Buell , Stefano Zapperi , Caterina A. M. La Porta

Parameterizing mathematical models of biological systems often requires fitting to stable periodic data. In cardiac electrophysiology this typically requires converging to a stable action potential through long simulations. We explore this…

Quantitative Methods · Quantitative Biology 2025-01-16 Matt J Owen , Gary R Mirams

We study the behavior of an assembly of $N$ granular particles contained in two compartments within a simple kinetic approach. The particles belonging to each compartment collide inelastically with each other and are driven by a stochastic…

Statistical Mechanics · Physics 2009-11-10 U. Marini Bettolo Marconi , A. Puglisi

Active nematics are microscopically driven liquid crystals that exhibit dynamical steady states characterized by the creation and annihilation of topological defects. Motivated by experimental realizations of such systems made of biopolymer…

Soft Condensed Matter · Physics 2018-09-05 Abhijeet Joshi , Elias Putzig , Aparna Baskaran , Michael Hagan

We present a dynamical and dissipative lattice model, designed to mimic nuclear multifragmentation. Monte-Carlo simulations with this model show clear signature of critical behaviour and reproduce experimentally observed correlations. In…

Statistical Mechanics · Physics 2009-10-31 J. S. Sa' Martins , P. M. C. de Oliveira

We investigate correlations in the fragment momentum distribution due to the propagation of fragments under the influence of their mutual Coulomb field, after the breakup of an excited nuclear source.The magnitude of the effects on the…

Nuclear Theory · Physics 2017-09-13 S. R. Souza , M. B. Tsang , R. Donangelo