Progress and outlook in Monte Carlo simulations

DN Theodorou - Industrial & engineering chemistry research, 2010 - ACS Publications
In 1953, Metropolis et al. 1 introduced an ingenious stochastic method for sampling points in
a multidimensional space, according to a prescribed probability distribution defined on that …

Efficient and exact sampling of transition path ensembles on Markovian networks

DJ Sharpe, DJ Wales - The Journal of Chemical Physics, 2020 - pubs.aip.org
The problem of flickering trajectories in standard kinetic Monte Carlo (kMC) simulations
prohibits sampling of the transition path ensembles (TPEs) on Markovian networks …

Network dynamics: a computational framework for the simulation of the glassy state

GG Vogiatzis, LCA van Breemen, M Hütter… - … Systems Design & …, 2023 - pubs.rsc.org
An out-of-equilibrium simulation method for tracking the time evolution of glassy systems (or
any other systems that can be described by hop** dynamics over a network of discrete …

Effect of low‐temperature physical aging on the dynamic transitions of atactic polystyrene in the glassy state

K Grigoriadi, T Putzeys, M Wübbenhorst… - Journal of Polymer …, 2019 - Wiley Online Library
The local and cooperative dynamics of atactic PS (a‐PS) were studied by broadband
dielectric relaxation spectroscopy (BDRS) and attenuated total reflectance Fourier transform …

The rheology of solid glass

SR Williams, DJ Evans - The Journal of Chemical Physics, 2010 - pubs.aip.org
As the glass transition is approached from the high temperature side, viewed as a liquid, the
properties of the ever more viscous supercooled liquid are continuous functions of …

Calculation of the chemical potential beyond the first-order free-energy perturbation: from deletion to reinsertion

GC Boulougouris - Journal of Chemical & Engineering Data, 2010 - ACS Publications
The estimation of the chemical potential is crucial in a variety of applications involving phase
equilibrium. The heart of such calculation lies in the evaluation of a free-energy difference …

Event horizon kinetic Monte Carlo

GC Boulougouris - The Journal of Chemical Physics, 2024 - pubs.aip.org
In this study, we present a novel approach for modeling the dynamics of stochastic
processes. The fundamental concept involves constructing a stochastic Markov chain …

Lum** analysis for the prediction of long-time dynamics: From monomolecular reaction systems to inherent structure dynamics of glassy materials

N Lempesis, DG Tsalikis, GC Boulougouris… - The Journal of …, 2011 - pubs.aip.org
In this work we develop, test, and implement a methodology that is able to perform, in an
automated manner,“lum**” of a high-dimensional, discrete dynamical system onto a lower …

On solving the master equation in spatially periodic systems

PD Kolokathis, DN Theodorou - The Journal of Chemical Physics, 2012 - pubs.aip.org
We present a new method for solving the master equation for a system evolving on a
spatially periodic network of states. The network contains 2 ν images of a “unit cell” of n …

On the estimation of the free energy, from a single equilibrium statistical ensemble, via particle reinsertion

GC Boulougouris - The Journal of Physical Chemistry B, 2012 - ACS Publications
In this work, we propose the evaluation of the free energy in molecular systems, in a “single”
step, by “deleting” all the molecules in the system. The approach can be considered as the …