Molecular dynamics (MD)–the numerical integration of atomistic equations of motion–is a workhorse of computational materials science. Indeed, MD can in principle be used to obtain …
D Aristoff, T Lelievre - Multiscale Modeling & Simulation, 2014 - SIAM
We give a mathematical framework for temperature accelerated dynamics (TAD), an algorithm proposed by Sø rensen and Voter in [J. Chem. Phys., 112 (2000), pp. 9599--9606] …
Transition pathways on the energy landscape of atactic polystyrene (aPS) glassy specimens are probed below its glass-transition temperature. Each of these transitions is considered an …
In this work we develop, test, and implement a methodology that is able to perform, in an automated manner,“lumping” of a high-dimensional, discrete dynamical system onto a lower …
An alternative graphical representation of the potential energy landscape (PEL) has been developed and applied to a binary Lennard-Jones glassy system, providing insight into the …
Many physicochemical, materials, and biological systems whose dynamics is too slow to be addressed via conventional molecular dynamics (MD) simulations can be considered as …
Many important processes in materials and chemical systems are intrinsically atomistic in nature but involve timescales that span many orders of magnitude, thus exceeding what can …
GC Boulougouris - Journal of Statistical Mechanics: Theory and …, 2021 - iopscience.iop.org
In this work, a geometrical representation of equilibrium and near equilibrium classical statistical mechanics is proposed. Within this formalism the equilibrium thermodynamic …
Many important processes in materials systems are intrinsically atomistic in nature but involve time scales that span many orders of magnitude, thus exceeding what can be …