Effects of an absorbing boundary on the average volume visited by N spherical Brownian particles

2003 ◽  
Vol 330 (1-2) ◽  
pp. 167-176 ◽  
Author(s):  
Hernan Larralde ◽  
Alexander M. Berezhkovskii ◽  
George H. Weiss
Keyword(s):  
Average Volume ◽  
Absorbing Boundary ◽  
Brownian Particles

Average volume of the domain visited by randomly injected spherical Brownian particles inddimensions

1996 ◽  
Vol 54 (1) ◽  
pp. 92-99 ◽  
Author(s):  
Alexander M. Berezhkovskii ◽  
George H. Weiss
Keyword(s):  
Average Volume ◽  
Brownian Particles

Trapping of Brownian particles by random traps: destruction of the fluctuation slow-down

1998 ◽  
Vol 77 (5) ◽  
pp. 1277-1281
Author(s):  
Alexander M. Berezhkovskii, Veaceslav Zaloj,
Keyword(s):  
Brownian Particles ◽  
Random Traps

The system of convective thermals as a generalized ensemble of Brownian particles

2016 ◽  
Vol 186 (2) ◽  
pp. 113-124 ◽  
Author(s):  
Alexander N. Vulfson ◽  
Oleg O. Borodin
Keyword(s):  
Brownian Particles

Toward perfectly absorbing boundary conditions for Euler equations

AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 912-918
Author(s):  
M. E. Hayder ◽  
Fang Q. Hu ◽  
M. Y. Hussaini
Keyword(s):  
Boundary Conditions ◽  
Euler Equations ◽  
Absorbing Boundary Conditions ◽  
Absorbing Boundary

Nondiffusive Brownian Motion Studied by Diffusing-Wave Spectroscopy

1989 ◽  
Vol 177 ◽  
Author(s):  
D. J. Pine ◽  
D. A. Weitz ◽  
D. J. Durian ◽  
P. N. Pusey ◽  
R. J. A. Tough
Keyword(s):  
Autocorrelation Function ◽  
Colloidal Particles ◽  
Scattered Light ◽  
Short Time Scale ◽  
Velocity Autocorrelation Function ◽  
Velocity Autocorrelation ◽  
Power Law Decay ◽  
Brownian Particles ◽  
Short Time ◽  
Surrounding Fluid

ABSTRACTOn a short time scale, Brownian particles undergo a transition from initially ballistic trajectories to diffusive motion. Hydrodynamic interactions with the surrounding fluid lead to a complex time dependence of this transition. We directly probe this transition for colloidal particles by measuring the autocorrelation function of multiply scattered light and observe the effects of the slow power-law decay of the velocity autocorrelation function.

scholarly journals Dirichlet absorbing boundary conditions for classical and peridynamic diffusion-type models

2020 ◽  
Vol 66 (4) ◽  
pp. 773-793 ◽  
Author(s):  
Arman Shojaei ◽  
Alexander Hermann ◽  
Pablo Seleson ◽  
Christian J. Cyron
Keyword(s):  
Boundary Conditions ◽  
Materials Science ◽  
Unbounded Domains ◽  
Diffusion Models ◽  
Absorbing Boundary Conditions ◽  
The Finite Element Method ◽  
Absorbing Boundary ◽  
Diffusion Type ◽  
2D And 3D ◽  
Accuracy And Stability

Abstract Diffusion-type problems in (nearly) unbounded domains play important roles in various fields of fluid dynamics, biology, and materials science. The aim of this paper is to construct accurate absorbing boundary conditions (ABCs) suitable for classical (local) as well as nonlocal peridynamic (PD) diffusion models. The main focus of the present study is on the PD diffusion formulation. The majority of the PD diffusion models proposed so far are applied to bounded domains only. In this study, we propose an effective way to handle unbounded domains both with PD and classical diffusion models. For the former, we employ a meshfree discretization, whereas for the latter the finite element method (FEM) is employed. The proposed ABCs are time-dependent and Dirichlet-type, making the approach easy to implement in the available models. The performance of the approach, in terms of accuracy and stability, is illustrated by numerical examples in 1D, 2D, and 3D.

scholarly journals The impact of vascular risk factors on the thickness and volume of the choroid in AMD patients

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Elżbieta Krytkowska ◽  
Aleksandra Grabowicz ◽  
Katarzyna Mozolewska-Piotrowska ◽  
Zofia Ulańczyk ◽  
Krzysztof Safranow ◽  
...  
Keyword(s):  
Risk Factors ◽  
Vascular Risk Factors ◽  
Age Related Macular Degeneration ◽  
Control Group ◽  
Vascular Risk ◽  
Average Volume ◽  
Central Ring ◽  
Age Related ◽  
The Impact ◽  
Wet Amd

AbstractDisturbances in choroidal microcirculation may lead to the onset and progression of age-related macular degeneration (AMD). We aimed to assess changes in the choroidal volume and thickness in the macular region in AMD eyes and to investigate whether coexisting vascular risk factors alter choroidal status. We enrolled 354 AMD patients (175 dry, 179 wet AMD) and 121 healthy controls. All participants underwent a complete ophthalmologic examination and assessment of choroidal thickness and volume. A multivariate analysis adjusted for age, sex, and smoking status revealed that wet AMD was an independent factor associated with higher average thickness of the central ring area (ATC) and average volume of the central ring area (AVC) and lower choroidal vascularity index (CVI) compared to controls (β =  + 0.18, p = 0.0007, β =  + 0.18, p = 0.0008, respectively) and to dry AMD (β =  + 0.17, p = 0.00003 for both ATC and AVC and β =  − 0.30 p < 0.0001 for CVI). ATC, AVC and average volume (AV) were lower in AMD patients with hypertension and ischaemic heart disease (IHD). The duration of hypertension was inversely correlated with ATC, AVC and AV (Rs =  − 0.13, p < 0.05; Rs =  − 0.12; p < 0.05, Rs =  − 0.12; p < 0.05, respectively) while IHD duration negatively correlated with AV (Rs =  − 0.15, p < 0.05). No such associations were observed in the control group. Our findings show that the choroidal vascular system in eyes with AMD is much more susceptible to damage in the presence than in the absence of systemic vascular disease.

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