Microscopic Hamiltonian and Chaotic Behavior for Barium Titanate Nanoparticles Revealed by Photonic Tunneling Model

TL;DR

This paper develops a microscopic Hamiltonian model for BaTiO3 nanoparticles, revealing complex chaotic behaviors and phase transition mechanisms through theoretical analysis and numerical simulations.

Contribution

It introduces a novel Hamiltonian framework and nonlinear dynamics approach to understand ferroelectric nanoparticle behavior at the microscopic level.

Findings

Chaotic dynamics observed in BaTiO3 nanoparticle systems

Phase transition mechanisms linked to cooperative chain phenomena

Numerical simulations demonstrate complex behaviors in the system

Abstract

In order to understand the microscopic properties of the ferroelectric nanoparticles, we review concepts of the attractive BaTiO3 nanocrystals where a photon field from its constituent electrons and ions are considered. We present an associated Hamiltonian and extended potential which are the bases of the physical description of the system from certain geometry of the semiquantal space with the specific phonon mode. Furthermore, we formulate the nonlinear dynamics equation of the systems with the famous microscopic Hamiltonian and Heisenberg equation of motion. In addition, we interest ourselves to a system of BaTiO3 nanocrystals and hypothesis leading to order-disorder nature of phase transitions. The latter are linked to the cooperative phenomenon of chains. The numerical simulations reveal that complex behaviors propagate in such system.