Application of the parallel multicanonical method to lattice gas condensation

Abstract

We present the speedup from a novel parallel implementation of the multicanonical method on the example of a lattice gas in two and three dimensions. In this approach, all cores perform independent equilibrium runs with identical weights, collecting their sampled histograms after each iteration in order to estimate consecutive weights. The weights are then redistributed to all cores. These steps are repeated until the weights are converged. This procedure benefits from a minimum of communication while distributing the necessary amount of statistics efficiently. Using this method allows us to study a broad temperature range for a variety of large and complex systems. Here, a gas is modeled as particles on the lattice, which interact only with their nearest neighbors. For a fixed density this model is equivalent to the Ising model with fixed magnetization. We compare our results to an analytic prediction for equilibrium droplet formation, confirming that a single macroscopic droplet forms only above a critical density.

Contribution to the proceedings of "XXV IUPAP Conference on Computational Physics"

References in corpus (2)

• Monte Carlo study of the evaporation/condensation transition on different Ising lattices
• A proof of the Gibbs-Thomson formula in the droplet formation regime

Cited by in corpus (7)

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• Finite-size scaling of Lennard-Jones droplet formation at fixed density
• From particle condensation to polymer aggregation
• The Droplet Formation-Dissolution Transition in Different Ensembles: Finite-Size Scaling from Two Perspectives