In this paper, we define the harmonic oscillator with random damping in non-Markovian thermal bath. This model represents new version of the random oscillators. In this side, we derive the overdamped harmonic oscillat...In this paper, we define the harmonic oscillator with random damping in non-Markovian thermal bath. This model represents new version of the random oscillators. In this side, we derive the overdamped harmonic oscillator with multiplicative colored noise and translate it into the additive colored noise by changing the variables. The overdamped harmonic oscillator is stochastic differential equation driving by colored noise. We derive the change in the total entropy production (CTEP) of the model and calculate the mean and variance. We show the fluctuation theorem (FT) which is invalid at any order in the time correlation. The problem of the deriving of the CTEP is studied in two different examples of the harmonic potential. Finally, we give the conclusion and plan for future works.展开更多
The response behaviour of an oscillator with Reid hysteresis damping under stationary Gauss white excitation is studied. By means of numerical simulation conducted on computer, the mean square response, probability de...The response behaviour of an oscillator with Reid hysteresis damping under stationary Gauss white excitation is studied. By means of numerical simulation conducted on computer, the mean square response, probability density function and power spectral density function for the response are given. These response characteristics are compared with those predicted by equivalent linearization treatment.展开更多
文摘In this paper, we define the harmonic oscillator with random damping in non-Markovian thermal bath. This model represents new version of the random oscillators. In this side, we derive the overdamped harmonic oscillator with multiplicative colored noise and translate it into the additive colored noise by changing the variables. The overdamped harmonic oscillator is stochastic differential equation driving by colored noise. We derive the change in the total entropy production (CTEP) of the model and calculate the mean and variance. We show the fluctuation theorem (FT) which is invalid at any order in the time correlation. The problem of the deriving of the CTEP is studied in two different examples of the harmonic potential. Finally, we give the conclusion and plan for future works.
文摘The response behaviour of an oscillator with Reid hysteresis damping under stationary Gauss white excitation is studied. By means of numerical simulation conducted on computer, the mean square response, probability density function and power spectral density function for the response are given. These response characteristics are compared with those predicted by equivalent linearization treatment.
