2021/08/10 by Dipanjan Mandal, Mandal, Dipanjan, David Quigley +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Opinion Dynamics and Social Influence #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2108.04799
openalex publication_date 2021/08/10 · openalex created_date 2022/09/26 · openalex updated_date 2026/07/28
Nucleation phenomena are ubiquitous in nature and the presence of impurities\nin every real and experimental system is unavoidable. Yet numerical studies of\nnucleation are nearly always conducted for entirely pure systems. We have\nstudied the behaviour of the droplet free energy in two dimensional Ising model\nin the presence of randomly positioned static and dynamic impurities. We have\nshown that both the free energy barrier height and critical nucleus size\nmonotonically decreases with increasing the impurity density for the static\ncase. We have compared the nucleation rates obtained from Classical Nucleation\nTheory and the Forward Flux Sampling method for different densities of the\nstatic impurities. The results show good agreement. In the case of dynamic\nimpurities, we observe preferential occupancy the impurities at the boundary\npositions of the nucleus when the temperature is low. This further boosts\nenhancement of the nucleation rate due to lowering of the effective interfacial\nfree energy.\n