TY - JOUR
T1 - Detection of weak signals in memory thermal baths
AU - Jiménez-Aquino, J. I.
AU - Velasco, R. M.
AU - Romero-Bastida, M.
N1 - Publisher Copyright:
© 2014 American Physical Society.
PY - 2014/11/21
Y1 - 2014/11/21
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84912569441&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.90.052146
DO - 10.1103/PhysRevE.90.052146
M3 - Artículo
C2 - 25493778
SN - 1539-3755
VL - 90
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 5
M1 - 052146
ER -