The earliest molecular dynamics simulations relied on solving the Newtonian or equivalently
the Hamiltonian equations of motion for a system. While pedagogically very important as the …

In this paper, we propose a general structure of the generalized Sprott-A system based on
the matrix form of the Sprott-A system. To investigate the multicluster chaotic flows derived …

In honor of his 75th birthday, we review the prominent works of Professor Julien Clinton
Sprott in chaos and nonlinear dynamics. We categorize his works into three important …

Sampling from an unnormalized probability distribution is a fundamental problem in
machine learning with applications including Bayesian modeling, latent factor inference, and …

Based on the generalized Hamiltonian system, a new method for constructing a class of
three-dimensional (3-D) chaotic systems is presented in this paper. After choosing the …

Nosé's pioneering 1984 work inspired a variety of time-reversible deterministic thermostats.
Though several groups have developed successful doubly-thermostated models, single …

The atomistic mechanisms of deformation in multicomponent random alloys are challenging
to model because of their extensive structural and compositional disorder. For embedded …

We analyze the ergodicity of three one-dimensional Hamiltonian systems, with harmonic,
quartic and Mexican-hat potentials, coupled to the logistic thermostat. As criteria for …

Gibbs' thermodynamic entropy is given by the logarithm of the phase volume, which itself
responds to heat transfer to and from thermal reservoirs. We compare the thermodynamic …

We handshake statistical mechanics with continuum mechanics to develop a methodology
for consistent evaluation of the continuum scale properties of two-dimensional materials …