Open AccessJournal Article
Approximation of the linear Boltzmann equation by the Fokker-Plank equation
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This article is published in Physical Review D.The article was published on 1967-01-01 and is currently open access. It has received 194 citations till now. The article focuses on the topics: Boltzmann equation & Fokker–Planck equation.read more
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Book ChapterDOI
Fokker-Planck Equation
TL;DR: In this paper, an equation for the distribution function describing Brownian motion was first derived by Fokker [11] and Planck [12] and it is shown that expectation values for nonlinear Langevin equations (367, 110) are much more difficult to obtain.
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Active Brownian Particles. From Individual to Collective Stochastic Dynamics
TL;DR: In this paper, the authors focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of such self-propelled entities in the framework of statistical mechanics.
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The semiclassical theory of laser cooling
TL;DR: In this paper, the basic theory of the mechanical action of light in resonant interaction with atoms is reviewed. But the main application is laser cooling, but the approach is applicable to a broader range of phenomena.
Book
Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations
TL;DR: In this article, the Fokker-Planck Equation is modelled with Stochastic Differential Equations (SDE) and the Langevin Equation (LDE).
Journal ArticleDOI
Approximation and inference methods for stochastic biochemical kinetics—a tutorial review
TL;DR: An introduction to basic modelling concepts as well as an overview of state of the art methods for stochastic chemical kinetics is given, including the chemical Langevin equation, the system size expansion, moment closure approximation, time-scale separation approximations and hybrid methods.