First-passage behavior of periodic potential system driven by correlated noise |
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| Affiliation: | 1. School of Mathematical Sciences, Tiangong University, Tianjin, 300387, China;2. School of Medical Information Engineering, Jining Medical University, Rizhao 276826, China;1. Belgorod State University, Belgorod, 308015, Russian Federation;2. Belgorod State Technological University named after V.G. Shukhov, Belgorod, 308012, Russian Federation;3. Ioffe Institute, St. Petersburg, 194021, Russian Federation;1. Department of Physics, Faculty of Education, Ain Shams University, Roxy 11757, Cairo, Egypt;2. Department of Physics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia;1. Instituto de Física, Universidade Federal de Mato Grosso do Sul, UFMS, 79074-460 Campo Grande MS, Brazil;2. Instituto de Química, Universidade Federal de Mato Grosso do Sul, UFMS, 79074-460 Campo Grande MS, Brazil |
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| Abstract: | In this paper, the first-passage time (FPT) of periodic potential system driven by correlated noise is discussed. One-dimensional non-Markovian process in the system is stochastically equivalent to two-dimensional Markovian process according to the statistical characteristics of noise. The 5 × 104 response tracks of the system is simulated by the fourth-order Runge-Kutta algorithm, and the FPT of the Brownian particle is recorded, then the mean first-passage time (MFPT) is calculated by averaging these values and the probability density function (PDF) of the FPT is simulated. Finally, the influence of the relevant parameters in the system on MFPT and the PDF of the FPT are discussed. Besides, it is found that resonance activation (RA) phenomenon appears in the system. |
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