Free Energy Functional of Disordered Dielectrics - Random Field Approach

Abstract

We derive the free energy functional of disordered dielectrics with dipole impurities. These dipoles, being randomly positioned and oriented, create in the host dielectric lattice random electric field E in the points where other impurity dipoles are situated. The distribution function f(E) of this random field, defined as an average (over spatial and orientational disorder) value of Dirac delta contributions of each dipole, enables us to obtain equations for order parameters. Latter equations permit to derive the free energy functional which substitutes (within limitations of the proposed model) the initial Hamiltonian of disordered system.

Keywords:

• Disordered Dielectrics
• Dipole Impurities
• Random Electric Field