Dynamics of Open Classical Systems

摘要: The theoretical framework for dissipative and stochastic dynamics of open classical systems is presented discussed. Only linear friction explicitly considered. In spite the different approaches one may find in literature, there are essentially three main ways to introduce stochasticity. First, phenomenologically, describing Brownian-like motions by means standard Langevin equation, where system-environment interaction governed two parameters: temperature friction. Second, starting from Liouville which satisfied any dynamical variable. And third, system-plus-bath approach, equations motion can be expressed terms a generalized equation. System trajectories issued solving such describe erratic or random and, therefore, they usually called (classical) trajectories. those cases noise becomes negligible zero, (trajectories then become smoother).