Author(s)

N. J. Hassan¹, A. Pourdarvish¹, J. Sadeghi²

¹Department of Statistics, Faculty of Mathematical Sciences, University of Mazandran, Babolsar, Iran.
²Department of Physics, Faculty of Basic Science, University of Mazandaran, Babolsar, Iran.

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.

Random Damping, Total Entropy, Non-Markovian Bath, Fluctuation Theorem, Additive Colored Noise

Hassan, N. , Pourdarvish, A. and Sadeghi, J. (2016) The Harmonic Oscillator with Random Damping in Non-Markovian Thermal Bath. World Journal of Mechanics, 6, 238-248. doi: 10.4236/wjm.2016.68019.