ABSTRACT
This chapter discusses to some applications of stochastic processes in computational and statistical physics. Molecular dynamics simulation is concerned with the analysis of the fluctuations and with the conformal changes of proteins and nucleic acids in biological molecules. The central problem is understanding the macroscopic properties of a molecule through the simulation of a microscopic system of atomic inter- acting particles in a given force field model. The Schrödinger equation is the quantum mechanics version of the Newton's second law of motion of classical mechanics (the mass times the acceleration equals the sum of the forces). This equation represents the wave function evolution of a physical system, including molecular, atomic, subatomic, macroscopic systems like the universe. Interacting particle systems are diffusion type or jump type stochastic processes that describe the evolution of a population of interacting individuals.
