A long-standing obstacle to the understanding of condensed-phase systems is that many important processes occur on time-scales that are not easily accessible with conventional methods such as molecular dynamics. In addition, simulations over extended length-scales are often necessary. We first discuss recent progress in developing and applying efficient algorithms for parallel kinetic Monte Carlo simulations of non-equilibrium processes. Applications to simulations of epitaxial growth and coarsening are discussed. We then discuss recent progress in extending the recently developed temperature-accelerated dynamics method to larger systems via parallel accelerated dynamics.
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