Artículos de revistas
On exact time averages of a massive Poisson particle
Fecha
2011Registro en:
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2011
1742-5468
10.1088/1742-5468/2011/06/P06010
Autor
MORGADO, W. A. M.
QUEIROS, S. M. Duarte
SOARES-PINTO, D. O.
Institución
Resumen
In this work we study, under the Stratonovich definition, the problem of the damped oscillatory massive particle subject to a heterogeneous Poisson noise characterized by a rate of events, lambda(t), and a magnitude, Phi, following an exponential distribution. We tackle the problem by performing exact time averages over the noise in a similar way to previous works analysing the problem of the Brownian particle. From this procedure we obtain the long-term equilibrium distributions of position and velocity as well as analytical asymptotic expressions for the injection and dissipation of energy terms. Considerations on the emergence of stochastic resonance in this type of system are also set forth.