tailieunhanh - Influence of blocking effect and energetic disorder on diffusion in one - dimensional lattice
In many-particle case, the blocking effect results in decreasing correlation factor F and average time τjump between two consecutive jumps. With increasing the number of particles, the diffusion coefficient DM decreases for site-energy and transition-energy disordered lattices due to the F-effect affects stronger than τ -effect. Furthermore, the blocking effect almost is temperature independent for both lattices. | Communications in Physics, Vol. 24, No. 1 (2014), pp. 85-96 INFLUENCE OF BLOCKING EFFECT AND ENERGETIC DISORDER ON DIFFUSION IN ONE-DIMENSIONAL LATTICE MAI THI LAN, NGUYEN VAN HONG, NGUYEN THU NHAN Hanoi University of Science and Technology, No 1, Dai Co Viet, Hanoi, Vietnam HOANG VAN HUE Ho Chi Minh City University of Food Industry E-mail: Received 28 November 2013 Accepted for publication 22 March 2014 Abstract. The diffusion in one-dimensional disordered lattice with Gaussian distribution of site and transition energies has been studied by mean of kinetic Monte-Carlo simulation. We focus on investigating the influence of energetic disorders and diffusive particle density on diffusivity. In single-particle case, we used both analytical method and kinetic Monte-Carlo simulation to calculate the quantities that relate to diffusive behavior in disordered systems such as the mean time between two consecutive jumps, correlation factor and diffusion coefficient. The calculation shows a good agreement between analytical and simulation results for all disordered lattice types. In many-particle case, the blocking effect results in decreasing correlation factor F and average time τjump between two consecutive jumps. With increasing the number of particles, the diffusion coefficient DM decreases for site-energy and transition-energy disordered lattices due to the F-effect affects stronger than τ -effect. Furthermore, the blocking effect almost is temperature independent for both lattices. Keywords: diffusion, disordered lattices, Gaussian distribution, blocking effect, energetic disorders. I. INTRODUCTION The diffusion in disordered lattices exhibits a variety of interesting phenomena, such as a strong reduction of the asymptotic diffusion coefficient, anomalous frequency dependence of the conductivity, dispersive transport, etc [1]. It also received wide attention from researchers in the fields related to the fuel cells, membrane technology, nano
đang nạp các trang xem trước
