Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications. The theme of the book is to develop the basic …
The use of geometric methods in classical mechanics has proven fruitful, with wide applications in physics and engineering. In this book, Professor Marsden concentrates on …
Algebraic Theory of Molecules presents a fresh look at the mathematics of wave functions that provide the theoretical underpinnings of molecular spectroscopy. Written by renowned …
Principal component analysis of molecular dynamics simulations is a popular method to account for the essential dynamics of the system on a low-dimensional free energy …
Many‐body effects were examined in a series of molecular dynamics computer simulations on the ionic aqueous clusters Na+ (H2O) n (n= 4, 5, 6, 14) and Cl−(H2O) n (n= 4, 5, 6, 7, 8 …
JC Simo, TA Posbergh, JE Marsden - Physics Reports, 1990 - Elsevier
This paper develops and applies the energy-momentum method to the problem of nonlinear stability of relative equilibria. The method is applied in detail to the stability of uniformily …
JC Simo, D Lewis, JE Marsden - 1989 - cds.caltech.edu
A general mechanical system with a Hamiltonian that is the sum of the kinetic and potential energy is said to possess symmetry if the Hamiltonian function is invariant under the action …
We study the 38-atom Lennard-Jones cluster with parallel tempering Monte Carlo methods in the microcanonical and molecular dynamics ensembles. A new Monte Carlo algorithm is …
HP Cheng, RS Berry - Physical Review A, 1992 - APS
Surface melting on clusters is investigated by a combination of analytic modeling and computer simulation. Homogeneous argonlike clusters bound by Lennard-Jones forces and …