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Study on a noise-driven self-sustained nonlinear oscillator as a thermodynamic bimodal system
Mitsuhiro Akimoto,Akira Suzuki 한국물리학회 2005 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.46 No.3
The statistical thermodynamics of a simple bimodal system is investigated. As a model for a bimodal system, we specically consider the noise-driven modied van der Pol oscillator. Due to the bifurcation mechanism of the deterministic case, the modality of the stationary distribution function can change from unimodality to bimodality and vice versa. By using the exact stationary distribution function obtained for the model system, one can calculate analytically thermodynamic quantities (entropy, internal energy, etc.) and trace their behaviors as functions of some parameters that control the system dynamics. The eective temperature of the system is dened consistently with the Legendre structure among thermodynamic quantities, and the eective temperature is found to have a singular point due to a change in the modality of the stationary distribution function.