TY - JOUR
T1 - Unstable state decay in non-Markovian heat baths and weak signals detection
AU - Jiménez-Aquino, J. I.
AU - Sánchez-Salas, N.
AU - Ramírez-Piscina, L.
AU - Romero-Bastida, M.
N1 - Publisher Copyright:
© 2019 Elsevier B.V.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - The statistics of the first passage and nonlinear relaxation times are used to characterize the decay process of an unstable state for an electrically charged Brownian particle embedded in non-Markovian heat baths under the action of an external electric field. The relaxation process is described, in the overdamped regime, by a Generalized Langevin Equation (GLE) characterized by an arbitrary friction memory kernel, and a bistable potential profile. By applying the quasideterministic approach, the statistics of the mean first passage time is calculated through the exact analytical solution of the GLE with arbitrary memory kernel in the linear regime of the bistable potential. To characterize the relaxation process including the nonlinear contributions of the bistable potential, we use the specific Ornstein–Uhlenbeck friction memory kernel to exactly calculate the nonlinear statistics of the mean first passage time as well as the nonlinear relaxation time. Both characteristic times are applied for possible detection of weak signals in the unstable state decay process.
AB - The statistics of the first passage and nonlinear relaxation times are used to characterize the decay process of an unstable state for an electrically charged Brownian particle embedded in non-Markovian heat baths under the action of an external electric field. The relaxation process is described, in the overdamped regime, by a Generalized Langevin Equation (GLE) characterized by an arbitrary friction memory kernel, and a bistable potential profile. By applying the quasideterministic approach, the statistics of the mean first passage time is calculated through the exact analytical solution of the GLE with arbitrary memory kernel in the linear regime of the bistable potential. To characterize the relaxation process including the nonlinear contributions of the bistable potential, we use the specific Ornstein–Uhlenbeck friction memory kernel to exactly calculate the nonlinear statistics of the mean first passage time as well as the nonlinear relaxation time. Both characteristic times are applied for possible detection of weak signals in the unstable state decay process.
KW - Decay of an unstable state
KW - Generalized Langevin equation
KW - Mean first passage time
KW - Nonlinear relaxation time
KW - Weak signals detection
UR - http://www.scopus.com/inward/record.url?scp=85066255384&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2019.121493
DO - 10.1016/j.physa.2019.121493
M3 - Artículo
AN - SCOPUS:85066255384
SN - 0378-4371
VL - 529
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
M1 - 121493
ER -