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## Unstable state decay in non-Markovian heat baths and weak signals detection

Author
Jiménez, J.; Sánchez, N.; Ramirez de La Piscina, L.; Romero, M.
Type of activity
Journal article
Journal
Physica A: statistical mechanics and its applications
Date of publication
2019-09-01
Volume
529
Number
September
First page
121493-1
Last page
121493-29
DOI
10.1016/j.physa.2019.121493
Project funding
Complex physical and biophysical systems: towards a comprehensive view of their dynamics and fluctuations
Repository
http://hdl.handle.net/2117/134883
URL
https://www.sciencedirect.com/science/article/pii/S0378437119308866
Abstract
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, t...
Citation
Jiménez, J. [et al.]. Unstable state decay in non-Markovian heat baths and weak signals detection. "Physica A: statistical mechanics and its applications", 1 Setembre 2019, vol. 529, núm. September, p. 121493.1-29.
Keywords
Decay of an unstable state, Generalized Langevin equation, Mean first passage time, Nonlinear relaxation time, Weak signals detection
Group of research
BIOCOM-SC - Computational Biology and Complex Systems Group