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Homogeneous nucleation near a second phase transition and Ostwald’s step rule

2001/11/20 by Z. Tavassoli, Zohreh Tavassoli, Richard P. Sear +1 · 1 citation
Chemistry · Earth and Planetary Sciences · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chemical physics #Chemistry #Condensed matter physics #Ferroics #Homogeneous #Ising model #Materials science #Nucleation #Phase (matter) #Phase transition #Physics #Quantum critical point #Quantum phase transition #Theoretical and Computational Physics #Thermodynamics #cond-mat.soft #cond-mat.stat-mech #nanoparticles nucleation surface interactions

paper · pdf · doi:10.1063/1.1452108

published as J. Chemical Physics 116, 5066-5072 (2002) · 11 pages, 5 figures

arxiv created 2001/11/20 · openalex publication_date 2002/03/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Homogeneous nucleation of the new phase of one transition near a second phase transition is considered. The system has two phase transitions, we study the nucleation of the new phase of one of these transitions under conditions such that we are near or at the second phase transition. The second transition is an Ising-type transition and lies within the coexistence region of the first transition. The first transition can be any strongly first-order phase transition. It effects the formation of the new phase in two ways. The first is by reducing the nucleation barrier to direct nucleation. The second is by the system undergoing the second transition and transforming to a state in which the barrier to nucleation is greatly reduced. The second way occurs when the barrier to undergoing the second phase transition is less than that of the first phase transition, and is in accordance with Ostwald’s rule.

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