Time evolution of nanoscale systems by finite difference method
  Using finite difference method, time evolution of a typical metal molecule metal system is studied by introducing a new method to solve general related Volterra integro differential equation (IDE). Discretization in time domain is applied for one dimentional chain tight binding model in several cases by defining a matrix integro-differential equation (MIDE). Results are compatible with their analytical counterparts and show more accuracy than other numerical methods like Runge Kutta (RK). Charge transport properties in a trans polyacetylene chain are found by studying the time evolution of charge density in it and current voltage diagram is calculated. 
Mohammad Nakhaee, S Ahmad Ketabi, M Taher Pakbaz, M Ali M Keshtan,   Elham Rahmati and Zahra Abdous
cond-mat.mes-hall cond-mat.other