A mathematical model for solution growth of bulk crystals under magnetic field

Recent developments in modelling of liquid phase electroepitaxy under applied magnetic field

“…The basic and constitutive equations of a binary electromagnetic fluid continuum under the assumption of the classical magnetohydrodynamic (MHD) approximation are given in detail in Ref. [17]. We give here only the resulting equations for LPEE.…”

“…The development of general nonlinear constitutive equations for a nonpolarizable and nonmagnetizable binary metallic liquid mixture can be found in Ref. [17]. Here, we present only the resulting simplified equations for an LPEE growth of a binary system (GaAs).…”

“…To this end, the fundamental equations of a binary metallic liquid mixture under an external magnetic field were developed for the solution crystal growth techniques of Liquid Phase Electroepitaxy (LPEE) and Travelling Heater Method (THM) in Ref. [17]. The development of general nonlinear constitutive equations for a nonpolarizable and nonmagnetizable binary metallic liquid mixture can be found in Ref.…”

“…Under the above assumptions and also based on the magnetohydrodynamic approximation, the thermomechanical balance laws of such a medium (namely the overall conservation of mass, the balance of linear momentum, the conservation of mass for the solute involving As in the Ga-rich solvent, the balance of energy, and the second laws of thermodynamics) yields the following local balance equations (see Refs. [5,17,31] for derivation):…”

“…The nonlinear model presented in Ref. [17] for LPEE, however, predicts accurately not only the growth rate but also the experimental growth interface shapes [15]. In this article we present a short review of recent results on the use of magnetic field in LPEE growth of GaAs bulk crystals.…”