The fokker planck equation methods of solution and applications pdf

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the fokker planck equation methods of solution and applications pdf

Fokker-Planck analysis of optical near-field traps

Source Electron. Zentralblatt MATH identifier Keywords Fokker-Planck fast diffusion probabilistic representation non-linear diffusion stochastic particle algorithm. Rights This work is licensed under a Creative Commons Attribution 3. Belaribi, Nadia; Russo, Francesco.
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Illustration of the solution to the Fokker-Planck equation with an external Magnetic Field

Fokker-Planck analysis of optical near-field traps

The motion of a nanoparticle in the vicinity of a near-field optical trap is modeled using the Fokker-Planck equation. A plasmonic C-shaped engraving on a gold film is considered as the optical trap. The time evolution of the position probability density of the nanoparticle is calculated to analyze the trapping dynamics. A spatially varying diffusion tensor is used in the formulation to take into account the hydrodynamic interactions. The steady-state position distribution obtained from the Fokker-Planck equation is compared with experimental results and found to be in good agreement. Computational cost of the proposed method is compared with the conventionally used Langevin equation based approach.

We study exact solutions of the steady-state behavior of several nonlinear open quantum systems which can be applied to the field of circuit quantum electrodynamics.
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Methods of Solution and Applications

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  1. Pages PDF · Fokker-Planck Equation. Hannes Risken. Pages PDF · Fokker-Planck Equation for One Variable; Methods of Solution Solutions of Tridiagonal Recurrence Relations, Application to Ordinary and Partial Differential .

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