Paul J. Alpers. The Poetry of ‘The Faerie Queene.’ 
            Princeton: Princeton University Press, 1967. ix+415 pp. $12.50.

Nelson, William

doi:10.2307/2859711

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“…Then, x ( t ) corresponds to a Wiener process, which is continuous but nowhere differentiable in time. 13 …”

Section: Pure Diffusionmentioning

confidence: 99%

111 years of Brownian motion

2016

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We consider the Brownian motion of a particle and present a tutorial review over the last 111 years since Einstein’s paper in 1905. We describe Einstein’s model, Langevin’s model and the hydrodynamic models, with increasing sophistication on the hydrodynamic interactions between the particle and the fluid. In recent years, the effects of interfaces on the nearby Brownian motion have been the focus of several investigations. We summarize various results and discuss some of the controversies associated with new findings about the changes in Brownian motion induced by the interface.

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“…Then, x ( t ) corresponds to a Wiener process, which is continuous but nowhere differentiable in time. 13 …”

Section: Pure Diffusionmentioning

confidence: 99%

111 years of Brownian motion

2016

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“…In these cases the behavior of such forces and torques is different from what we are used to: things get much more complex when we move into these weird microscopic domains with less connection with our daily experience. In particular, one thing has to be kept in mind: the thermal noise, responsible for the Brownian diffusion of particles, is omnipresent 1 . Furthermore, when liquid environment are considered, inertial effects are absent at the microscopic scale due to the overwhelming role of viscosity 2,3 .…”

Section: Introductionmentioning

confidence: 99%

Forces and torques on the nanoscale: from measurement to applications

Volpe

2012

SPIE Proceedings

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The possibility of measuring microscopic forces down to the femtonewton range has opened new possibilities in fields such as biophysics and nanophotonics. I will review some of the techniques most often employed, namely the photonic force microscope (PFM) and the total internal reflection microscope (TIRM), which are able to measure tiny forces acting on optically trapped particles. I will then discuss several applications of such nanoscopic forces: from plasmonic optical manipulation, to self-propelled microswimmers, to self-organization in large ensembles of particles.

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Paul J. Alpers. The Poetry of ‘The Faerie Queene.’ Princeton: Princeton University Press, 1967. ix+415 pp. $12.50.

Cited by 2 publications

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111 years of Brownian motion

111 years of Brownian motion

Forces and torques on the nanoscale: from measurement to applications

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