Abstract

This research work instrumentalizes comprehensively the impacts of independent parameters like surface pressure, external magnetic field, and temperature on statistical thermodynamic quantities free energy, magnetization, occupied surface fraction, and equilibrium length. We approached it differently from a theoretical investigation conducted dealt with the behavioral dependence of surface parameters. Our mechanism was to investigate the interrelation between two dependent variables under exposure to two or more different independent parameters. Thus it seems complicated but it is used to probe surface information from the system at the same pace. We investigated the thermal excitation effect that leads to the detachment of the electron gas in contact with each occupied surface site, which reduces the adsorption of the surface in contrary external magnetic fields and pressure enhances the occupied surface probability of electrons to contact surface sites. Our findings reveal that the solid GaAs surface tends to capture electrons under the influences of external magnetic fields and pressure thus binding electrons and putting additional confining potential meanwhile the surface properties are affected. On the other hand surface, free energy has an inverse relation with magnetization, occupied surface fraction, in the case of equilibrium length it depended on the strong external magnetic fields.

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