title: Detection of weak signals in memory thermal baths.
abstract: The nonlinear relaxation time and the statistics of the first passage time distribution in connection with the quasideterministic approach are used to detect weak signals in the decay process of the unstable state of a Brownian particle embedded in memory thermal baths. The study is performed in the overdamped approximation of a generalized Langevin equation characterized by an exponential decay in the friction memory kernel. A detection criterion for each time scale is studied: The first one is referred to as the receiver output, which is given as a function of the nonlinear relaxation time, and the second one is related to the statistics of the first passage time distribution.
authors.affiliation: Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Distrito Federal 09340, México.
authors.forename: J I
authors.initials: JI
authors.lastname: Jiménez-Aquino
authors.affiliation: Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Distrito Federal 09340, México.
authors.forename: R M
authors.initials: RM
authors.lastname: Velasco
authors.affiliation: SEPI ESIME-Culhuacán, Instituto Politécnico Nacional Avenida Santa Ana No. 1000, Colonia San Francisco Culhuacán Delegación Coyoacán, Distrito Federal 04430, México.
authors.forename: M
authors.initials: M
authors.lastname: Romero-Bastida