Caminhante aleatório (random walk) e processos de difusão em um campo externo

Abstract

In the present work, the following questions are considered: construction of the free diffusion and diffusion equation in an external field, analytical solution of the free one-dimensional diffusion equation and in an external field, elaboration of the computer programs GraphD.exe and GraphG.exe to represent graphically the diffusion processes, representation of the mathematical model of the random walker, elaboration of the computer program GraphRW.exe to graphically represent the processes of the random walker, solution of the basic equation of the random walker with the help of the operational method, establishment of the relation of the random walker with the diffusion processes and computational simulation of the diffusion processes using the random walker model (Program RDif.exe).