scholarly journals Nanoparticle Brownian motion and hydrodynamic interactions in the presence of flow fields

2011 ◽  
Vol 23 (7) ◽  
pp. 073602 ◽  
Author(s):  
B. Uma ◽  
T. N. Swaminathan ◽  
R. Radhakrishnan ◽  
D. M. Eckmann ◽  
P. S. Ayyaswamy
Keyword(s):  
Brownian Motion ◽  
Flow Fields ◽  
Hydrodynamic Interactions

Observation of Brownian motion on the time scale of hydrodynamic interactions

1993 ◽  
Vol 70 (2) ◽  
pp. 242-245 ◽  
Author(s):  
M. H. Kao ◽  
A. G. Yodh ◽  
D. J. Pine
Keyword(s):  
Brownian Motion ◽  
Time Scale ◽  
Hydrodynamic Interactions

scholarly journals Nanofluid Dynamics of Flexible Polymeric Nanoparticles Under Wall Confinement

2019 ◽  
Vol 141 (5) ◽  
Author(s):  
Samaneh Farokhirad ◽  
N. Ramakrishnan ◽  
David M. Eckmann ◽  
Portonovo S. Ayyaswamy ◽  
Ravi Radhakrishnan
Keyword(s):  
Brownian Motion ◽  
Polymer Chain ◽  
Brownian Dynamics ◽  
Temporal Dynamics ◽  
Polymeric Nanoparticles ◽  
Hydrodynamic Forces ◽  
Hydrodynamic Interactions ◽  
Polymeric Nanoparticle ◽  
Fluid Media ◽  
Dynamics Method

Describing the hydrodynamics of nanoparticles in fluid media poses interesting challenges due to the coupling between the Brownian and hydrodynamic forces at the nanoscale. We focus on multiscale formulations of Brownian motion and hydrodynamic interactions (HI) of a single flexible polymeric nanoparticle in confining flows using the Brownian Dynamics method. The nanoparticle is modeled as a self-avoiding freely jointed polymer chain that is subject to Brownian forces, hydrodynamics forces, and repulsive interactions with the confining wall. To accommodate the effect of the wall, the hydrodynamic lift due to the wall is included in the mobility of a bead of the polymer chain which depends on its proximity to the wall. Using the example of a flexible polymeric nanoparticle, we illustrate temporal dynamics pertaining to the colloidal scale as well as the nanoscale.

Integrated Fractional white Noise as an Alternative to Multifractional Brownian Motion

2007 ◽  
Vol 44 (02) ◽  
pp. 393-408 ◽  
Author(s):  
Allan Sly
Keyword(s):  
Stochastic Process ◽  
Brownian Motion ◽  
White Noise ◽  
Gaussian Process ◽  
Discrete Data ◽  
Hölder Exponent ◽  
Scaling Properties ◽  
Multifractional Brownian Motion ◽  
Local Properties

Multifractional Brownian motion is a Gaussian process which has changing scaling properties generated by varying the local Hölder exponent. We show that multifractional Brownian motion is very sensitive to changes in the selected Hölder exponent and has extreme changes in magnitude. We suggest an alternative stochastic process, called integrated fractional white noise, which retains the important local properties but avoids the undesirable oscillations in magnitude. We also show how the Hölder exponent can be estimated locally from discrete data in this model.

Brownian motion with quadratic killing and some implications

1986 ◽  
Vol 23 (04) ◽  
pp. 893-903 ◽  
Author(s):  
Michael L. Wenocur
Keyword(s):  
Brownian Motion ◽  
Weibull Distribution ◽  
Special Function ◽  
Function Theory ◽  
Killing Rate

Brownian motion subject to a quadratic killing rate and its connection with the Weibull distribution is analyzed. The distribution obtained for the process killing time significantly generalizes the Weibull. The derivation involves the use of the Karhunen–Loève expansion for Brownian motion, special function theory, and the calculus of residues.

Recurrence of fragmenting granules and their relation to meso- and supergranular flow fields

2003 ◽  
Vol 9 ◽  
pp. 371-371
Author(s):  
Th. Roudier ◽  
F. Lignières ◽  
M. Rieutord ◽  
P. N. Brandt ◽  
J.-M. Malherbe
Keyword(s):  
Flow Fields
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