Issue 38, 2021

Nucleation rate in the two dimensional Ising model in the presence of random impurities

Abstract

Nucleation phenomena are ubiquitous in nature and the presence of impurities in every real and experimental system is unavoidable. Yet numerical studies of nucleation are nearly always conducted for entirely pure systems. We have studied the behaviour of the droplet free energy in two dimensional Ising model in the presence of randomly positioned static and dynamic impurities. We have shown that both the free energy barrier height and critical nucleus size monotonically decreases with increasing the impurity density for the static case. We have compared the nucleation rates obtained from the Classical Nucleation Theory and the Forward Flux Sampling method for different densities of the static impurities. The results show good agreement. In the case of dynamic impurities, we observe preferential occupancy of the impurities at the boundary positions of the nucleus when the temperature is low. This further boosts enhancement of the nucleation rate due to lowering of the effective interfacial free energy.

Graphical abstract: Nucleation rate in the two dimensional Ising model in the presence of random impurities

Article information

Article type
Paper
Submitted
11 Aug 2021
Accepted
10 Sep 2021
First published
13 Sep 2021
This article is Open Access
Creative Commons BY license

Soft Matter, 2021,17, 8642-8650

Nucleation rate in the two dimensional Ising model in the presence of random impurities

D. Mandal and D. Quigley, Soft Matter, 2021, 17, 8642 DOI: 10.1039/D1SM01172C

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