  Conventional molecular dynamics (MD) simulations struggle when simulating
particles with steeply varying interaction potentials, due to the need to use a
very short time step. Here, we demonstrate that an event-driven Monte Carlo
(EDMC) approach first introduced by Peters and de With [Phys. Rev. E 85, 026703
(2012)] represents an excellent substitute for MD in the canonical ensemble. In
addition to correctly reproducing the static thermodynamic properties of the
system, the EDMC method closely mimics the dynamics of systems of particles
interacting via the steeply repulsive Weeks-Chandler-Andersen (WCA) potential.
In comparison to time-driven MD simulations, EDMC runs faster by over an order
of magnitude at sufficiently low temperatures. Moreover, the lack of a finite
time step in EDMC circumvents the need to trade accuracy against simulation
speed associated with the choice of time step in MD. We showcase the usefulness
of this model to explore the phase behavior of the WCA model at extremely low
temperatures, and to demonstrate that spontaneous nucleation and growth of the
Laves phases is possible at temperatures significantly lower than previously
reported.
