We study the stochastic motion of a Brownian particle driven by a constant force over a static periodic potential. We show that both the effective diffusion and the effective drag coefficient are mathematically well-defined and we derive analytic expressions for these two quantities. We then investigate the asymptotic behaviors of the effective diffusion and the effective drag coefficient, resp...

recently, the finished cost reduction policy-as an efficient economic policy for competitiveness of domestic products beside foreign competitors-has been paying attention by ministry of commerce of iran. at the fist look, the protection of intellectual property such as inventions increases the finished cost of products; but intellectual property protection can be effective in finished cost redu...