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Stationary energy probability density of oscillators driven by a random external force
Méndez López, Vicenç (Universitat Autònoma de Barcelona. Departament de Física)
Campos, Daniel (Universitat Autònoma de Barcelona. Departament de Física)
Horsthemke, Werner (Southern Methodist University. Department of Chemistry)

Data: 2013
Resum: We derive rigorous analytical results for the stationary energy probability density function of linear and nonlinear oscillators driven by additive Gaussian noise. Our study focuses on two cases: (i) a harmonic oscillator subjected to Gaussian colored noise with an arbitrary correlation function and (ii) nonlinear oscillators with a general potential driven by Gaussian white noise. We also derive analytical expressions for the stationary moments of the energy and investigate the partition of the mean energy between kinetic and potential energy. To illustrate our general results, we consider specifically the case of exponentially correlated noise for (i) and power-law and bistable potentials for (ii). Our theoretical results are substantiated by Langevin simulations.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: article ; recerca ; publishedVersion
Publicat a: Physical review. E : statistical, nonlinear, and soft matter physics, Vol. 87, Number 6 (June 2013) , p. 062132/1-062132/10, ISSN 1539-3755

DOI: 10.1103/PhysRevE.87.062132

10 p, 497.6 KB

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