6533b872fe1ef96bd12d4195

RESEARCH PRODUCT

STRUCTURAL INSTABILITY IN FERROELECTRICS: SUPERIMPOSING HAMILTONIAN AND STOCHASTIC DYNAMICS

A. KuznetsovE. Klotins

subject

PhysicsCanonical ensembleErgodicityCondensed Matter PhysicsInstabilityElectronic Optical and Magnetic Materialssymbols.namesakeStochastic dynamicsControl and Systems EngineeringLattice (order)MetastabilityMaterials ChemistryCeramics and CompositessymbolsEnergy levelStatistical physicsElectrical and Electronic EngineeringHamiltonian (quantum mechanics)

description

ABSTRACT Structural instability of ferroelectrics distinguished by appearance of coexisting phases and spatial inhomogeneity is at variance with the predictions of statistics in the canonical ensemble. A more refined description includes ergodicity breaking which become apparent at critical temperature when the system resides in metastable state and its development lead to one of possible minimum energy states. In this study the domain growth and switching is reproduced within the framework of Fokker-Planck approach. The mathematical technique is developed for empiric Landau Hamiltonians and improved for application to first principles effective Hamiltonians with supercells and elementary lattice cells as the physical setup.

https://doi.org/10.1080/10584580802557938