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Diffusion in one dimensional disordered lattice

The calculation of particular cases of two levels and uniform distributions of site and transition energies shows the applicability of the constructed expressions not only for site disorder system, but also for mixed system with both site and transition disorders. The blocking effect is studied and also discussed. | JOURNAL OF SCIENCE OF HNUE Natural Sci. 2011 Vol. 56 No. 7 pp. 78-86 DIFFUSION IN ONE-DIMENSIONAL DISORDERED LATTICE Trinh Van Mung Pham Khac Hung and Pham Ngoc Nguyen Hanoi University of Technology E-mail mungtv76@gmail.com Abstract. The diffusion of particles in 1-d system with two types of dis- orders is studied by using both analytical method and Monte-Carlo simu- lation. The obtained result is used to construct the analytical expression for 1-d diffusion coefficient D and correlation factor F. The calculation of particular cases of two levels and uniform distributions of site and transition energies shows the applicability of the constructed expressions not only for site disorder system but also for mixed system with both site and transition disorders. The blocking effect is studied and also discussed. Keywords Diffusion amorphous solid disordered lattice one-dimension simulation. 1. Introduction Migration of particles atom molecular and ion in disordered media has re- ceived wide attention because of a list of problems and applications that can be found 1-5 . To name but only a few the diffusion and conductivity of glass poly- mer amorphous alloy and thin film related to the subject. Special cases of interest are dynamic processes controlled by the configurational coordinate the inter par- ticle distance the transition saddle and site energies. Because the geometrical disorder has irrelevant effect of diffusion behaviour the disordered lattice is em- ployed where the particle jumps between sites of regular lattice whose energetic properties are randomly distributed to clarify the properties of such systems. With respect to diffusion amorphous alloys are characterized by two kinds of disorders the site disorder corresponding a random trapping model and transition saddle disorder corresponding random hopping model 3-4 . Unlike the case of electronic transport in semiconductors where the specific cases fall into one or other model the transport in amorphous .