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DY: Fachverband Dynamik und Statistische Physik
DY 27: Statistical Physics far from Thermal Equilibrium II
DY 27.6: Vortrag
Dienstag, 10. März 2026, 15:15–15:30, ZEU/0114
Continuous-time multifarious systems — •Jakob Metson1, Saeed Osat1,2, and Ramin Golestanian1,3 — 1Max Planck Institute for Dynamics and Self-Organization (MPI-DS), 37077 Göttingen, Germany — 2Institute for Theoretical Physics IV, University of Stuttgart, 70569 Stuttgart, Germany — 3Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3PU, United Kingdom
Multifarious assembly models consider multiple structures assembled from a shared set of components. We explore Gillespie simulations of lattice-based assembly models, comparing these to Monte Carlo simulations. We start with an equilibrium model, in which detailed balance is obeyed. However, due to the rough energy landscape, the systems often end up in long-lived metastable states. Despite this, the Gillespie and Monte Carlo simulations are largely consistent. We present physical arguments to predict the state boundaries, which also reconciles a small discrepancy between the two simulation methods. We furthermore study an explicitly non-equilibrium model, the non-reciprocal multifarious self-organisation model. Here, non-reciprocal interactions between the building blocks break detailed balance. Also in this case, the Gillespie and Monte Carlo simulations demonstrate the same range of behaviours. Additionally, we explore the timescales of shape-shifting present in this model, developing analytical calculations to compare with simulations. Overall, these results demonstrate that both Gillespie and Monte Carlo simulations can be relied on to explore such systems, even when the dynamics are far from equilibrium.
Keywords: Gillespie and Monte Carlo simulation; Lattice models; Self-assembly; Non-reciprocal multifarious self-organisation; Metastable