Abstract

CASTELLANOS-MORENO, A.. Movimiento browniano activo mediante velocidades estocásticas. Rev. mex. fis. [online]. 2003, vol.49, n.5, pp.429-438. ISSN 0035-001X.

A formalism based in one step stochastic processes to study active Brownian motion is developed in this paper. Stationary and equilibrium properties are treated by defining an extended entropy and by introducing an indicator function to know when stationary state is reached. Stochastic velocities are recovered as a theoretical tool to get insight about the difference between equilibrium and stationary states. An angular velocity is defined to show how its magnitude is different from zero when detailed balance is not accomplished. All the formalism is illustrated through an example.

Keywords : Stochastic processes; stochastic analysis methods; brownian motion; nonlinear dynamics and nonlinear dynamical systems; nonequilibrium kinetics.

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