Microscopic Models

Contrary to the well-known witticism by the English statesman (sometimes wrongly attributed to M. Twain), statistical methods are the powerful tool for the study of the phenomena characterized by the intrinsic stochasticity that are very difficult if not impossible to describe by the pure analytical methods. These approaches are divided into two groups - Monte Carlo (MC) and Molecular Dynamics (MD) simulations [443]. With still ongoing advances in computer hardware (even if some deviations from the Moore law on the constant rate of gaining the computing speed are noticed) it is expected that their importance will increase in future, allowing simulation of the more complex systems for the longer physical time.