title: Relaxation dynamics in the presence of pulse multiplicative noise sources with different correlation properties.
abstract: The relaxation dynamics of a system described by a Langevin equation with pulse multiplicative noise sources with different correlation properties is considered. The solution of the corresponding Fokker-Planck equation is derived for Gaussian white noise. Moreover, two pulse processes with regulated periodicity are considered as a noise source: the dead-time-distorted Poisson process and the process with fixed time intervals, which is characterized by an infinite correlation time. We find that the steady state of the system is dependent on the correlation properties of the pulse noise. An increase of the noise correlation causes the decrease of the mean value of the solution at the steady state. The analytical results are in good agreement with the numerical ones.
authors.affiliation: Faculty of Physics and International Laser Center, Lomonosov Moscow State University, Leninskie Gory, 119992 Moscow, Russia.
authors.forename: A V
authors.initials: AV
authors.lastname: Kargovsky
authors.affiliation: Faculty of Physics and International Laser Center, Lomonosov Moscow State University, Leninskie Gory, 119992 Moscow, Russia.
authors.forename: O A
authors.initials: OA
authors.lastname: Chichigina
authors.affiliation: Faculty of Physics, Lomonosov Moscow State University, Leninskie Gory, 119992 Moscow, Russia and Dipartimento di Fisica e Chimica, Group of Interdisciplinary Theoretical Physics, Università di Palermo, Viale delle Scienze, Edificio 18, 90128 Palermo, Italy.
authors.forename: E I
authors.initials: EI
authors.lastname: Anashkina
authors.affiliation: Dipartimento di Fisica e Chimica, Group of Interdisciplinary Theoretical Physics, Università di Palermo and CNISM, Unità di Palermo, Viale delle Scienze, Edificio 18, 90128 Palermo, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Italy.
authors.forename: D
authors.initials: D
authors.lastname: Valenti
authors.affiliation: Dipartimento di Fisica e Chimica, Group of Interdisciplinary Theoretical Physics, Università di Palermo and CNISM, Unità di Palermo, Viale delle Scienze, Edificio 18, 90128 Palermo, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Italy.
authors.forename: B
authors.initials: B
authors.lastname: Spagnolo