World Scientific
  • Search
  •   
Skip main navigation

Cookies Notification

We use cookies on this site to enhance your user experience. By continuing to browse the site, you consent to the use of our cookies. Learn More
×

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at [email protected] for any enquiries.

Probabilistic model of structural phase transition in perovskites

    https://doi.org/10.1142/S0217984921502110Cited by:1 (Source: Crossref)

    In this work, the crystal structures and phase transitions of compounds with perovskite structure were investigated. The classification of structural phase transitions in perovskites was carried out, the most common crystal structures and structural phase transitions were shown. A mathematical model was constructed, a theorem was given and proved for the probability of a possible transition. The formulas E(τ1)=((λβ)28+λβ2+1)E(ξ1) and D(τ1)=((λβ)496+(λβ)3123(λβ)28λβ2)(Eξ1)2+((λβ)28+λβ2+1)D(ξ1) are given for the mathematical expectation and variance of random variable τ1, which is the moment when the stochastic process X(t) deviation from the boundary [0, β] interval for the first time. According to the mathematical model, one of the trajectories of random processes corresponding to the phase transitions that occur in perovskites is constructed.

    References

    Remember to check out the Most Cited Articles!

    Boost your collection with these New Books in Condensed Matter Physics today!