scholarly journals Local characterization of hindered Brownian motion by using digital video microscopy and 3D particle tracking

2014 ◽  
Vol 85 (2) ◽  
pp. 023708 ◽  
Author(s):  
Simon L. Dettmer ◽  
Ulrich F. Keyser ◽  
Stefano Pagliara
Keyword(s):  
Brownian Motion ◽  
Particle Tracking ◽  
Digital Video ◽  
Video Microscopy ◽  
Local Characterization

Multiple particle tracking

2018 ◽  
Author(s):  
Eric M. Furst ◽  
Todd M. Squires
Keyword(s):  
Brownian Motion ◽  
Best Practices ◽  
Particle Tracking ◽  
Heterogeneous Material ◽  
Quantitative Measurements ◽  
Particle Tracking Microrheology ◽  
Shell Models ◽  
Multiple Particle Tracking ◽  
Microscopy Data ◽  
Multiple Particle

The fundamentals and best practices of multiple particle tracking microrheology are discussed, including methods for producing video microscopy data, analyzing data to obtain mean-squared displacements and displacement correlations, and, critically, the accuracy and errors (static and dynamic) associated with particle tracking. Applications presented include two-point microrheology, methods for characterizing heterogeneous material rheology, and shell models of local (non-continuum) heterogeneity. Particle tracking has a long history. The earliest descriptions of Brownian motion relied on precise observations, and later quantitative measurements, using light microscopy.

Karhunen-Loève local characterization of spatiotemporal chaos in a reaction-diffusion system

2000 ◽  
Vol 61 (2) ◽  
pp. 1382-1385 ◽  
Author(s):  
Matthias Meixner ◽  
Scott M. Zoldi ◽  
Sumit Bose ◽  
Eckehard Schöll
Keyword(s):  
Reaction Diffusion ◽  
Spatiotemporal Chaos ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Local Characterization

scholarly journals Infinite dimensional rotations and Laplacians in terms of white noise calculus

1992 ◽  
Vol 128 ◽  
pp. 65-93 ◽  
Author(s):  
Takeyuki Hida ◽  
Nobuaki Obata ◽  
Kimiaki Saitô
Keyword(s):  
Brownian Motion ◽  
White Noise ◽  
Quantum Physics ◽  
Variational Calculus ◽  
Rotation Group ◽  
Infinite Dimensional ◽  
Lévy Laplacian ◽  
White Noise Functionals ◽  
White Noise Calculus

The theory of generalized white noise functionals (white noise calculus) initiated in [2] has been considerably developed in recent years, in particular, toward applications to quantum physics, see e.g. [5], [7] and references cited therein. On the other hand, since H. Yoshizawa [4], [23] discussed an infinite dimensional rotation group to broaden the scope of an investigation of Brownian motion, there have been some attempts to introduce an idea of group theory into the white noise calculus. For example, conformal invariance of Brownian motion with multidimensional parameter space [6], variational calculus of white noise functionals [14], characterization of the Levy Laplacian [17] and so on.

Transmission microwave spectroscopy for local characterization of dielectric materials

2017 ◽  
Vol 35 (1) ◽  
pp. 01A113 ◽  
Author(s):  
Andrea Lucibello ◽  
Christopher Hardly Joseph ◽  
Emanuela Proietti ◽  
Giovanni Maria Sardi ◽  
Giovanni Capoccia ◽  
...  
Keyword(s):  
Dielectric Materials ◽  
Microwave Spectroscopy ◽  
Local Characterization

scholarly journals Local characterization of the Covid19 Response in low-income country: The case of a Lockdown in Zambia

2021 ◽  
Author(s):  
Choolwe Muzyamba
Keyword(s):  
Low Income ◽  
Mental Health Problems ◽  
Incidence Rates ◽  
Low Income Countries ◽  
Gender Based Violence ◽  
Low Income Country ◽  
Phone Calls ◽  
Heated Debate ◽  
Local Characterization

Abstract Background The onset of the covid19 pandemic has sparked heated debate among scholars on the relevance of lockdowns. There are those in favor of the lockdown and others who are critical of it. However, despite the increased interest in understanding the relevance of lockdowns, there still has not been much focus on its relevance in low income countries like Zambia. Thus with the help of the SRT, we set out to explore and document the local characterization of the lockdown by residents of Lusaka, Zambia.Methods A qualitative study in the form of interviews was conducted in Lusaka, Zambia involving a sample of 68 participants. Due to the lockdown measures that were in place during the study, the interviews were conducted via phone calls and the data collected were later analyzed by use of thematic analysis technique.Results The lockdown was on one hand lauded for slowing down the incidence rates, preventing fatalities, and for protecting the healthcare system from collapse. On the other hand, it was criticized for exacerbating poverty levels, unemployment rates, increasing the rate of mental health problems, aiding gender based violence, and intensifying political repression and corruption. The results speak to the complexity in the characterization of the lockdown as a response to covid19 in Zambia. This observation demonstrates the folly of viewing, applying and characterizing the covid19 lockdown as a ‘one-size-fits-all’ approach in Zambia.Conclusion Thus rather than definitely establishing the lockdown as an incontestable good, as it is depicted by some scholars or as useless by its critics, our findings instead demonstrate the diversity and complexity in how it is locally viewed by Zambians. The study provides grounds for caution on simplistic and binary characterization of lockdowns. It indicates the need for careful dialog between the designers of lockdowns and citizens in order to tailor such interventions to local realities in context-specific ways. It also shows that though the development of such interventions, all the various and complex elements it embodies must be taken into account in order to realize optimum outcomes.

Methods of Digital Video Microscopy for Colloidal Studies

1996 ◽  
Vol 179 (1) ◽  
pp. 298-310 ◽  
Author(s):  
John C. Crocker ◽  
David G. Grier
Keyword(s):  
Digital Video ◽  
Video Microscopy

Development of a digital video-microscopy technique to study lactose crystallisation kinetics in situ

2004 ◽  
Vol 339 (16) ◽  
pp. 2721-2730 ◽  
Author(s):  
Marı́a Paz Arellano ◽  
José Miguel Aguilera ◽  
Pedro Bouchon
Keyword(s):  
Digital Video ◽  
Video Microscopy ◽  
Crystallisation Kinetics ◽  
Microscopy Technique

scholarly journals Analysis of the geomagnetic activity of the <i>D<sub>st</sub></i> index and self-affine fractals using wavelet transforms

2004 ◽  
Vol 11 (3) ◽  
pp. 303-312 ◽  
Author(s):  
H. L. Wei ◽  
S. A. Billings ◽  
M. Balikhin
Keyword(s):  
Brownian Motion ◽  
Geomagnetic Activity ◽  
Power Law ◽  
Wavelet Transforms ◽  
Effective Measure ◽  
Dst Index ◽  
Power Spectral ◽  
Power Law Exponent ◽  
Brownian Motion Model

Abstract. The geomagnetic activity of the Dst index is analyzed using wavelet transforms and it is shown that the Dst index possesses properties associated with self-affine fractals. For example, the power spectral density obeys a power-law dependence on frequency, and therefore the Dst index can be viewed as a self-affine fractal dynamic process. In fact, the behaviour of the Dst index, with a Hurst exponent H≈0.5 (power-law exponent β≈2) at high frequency, is similar to that of Brownian motion. Therefore, the dynamical invariants of the Dst index may be described by a potential Brownian motion model. Characterization of the geomagnetic activity has been studied by analysing the geomagnetic field using a wavelet covariance technique. The wavelet covariance exponent provides a direct effective measure of the strength of persistence of the Dst index. One of the advantages of wavelet analysis is that many inherent problems encountered in Fourier transform methods, such as windowing and detrending, are not necessary.

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