INTERFACIAL AGGREGATION OF FLOATING MICROPARTICLES UNDER THE CONTROL OF SHORT-RANGE COLLOID AND VERY LONG-RANGE CAPILLARY FORCES

Fractals ◽  
1993 ◽  
Vol 01 (03) ◽  
pp. 460-469 ◽  
Author(s):  
Z. HÓRVÖLGYI ◽  
M. ZRINYI

Interfacial aggregation of surface modified glass beads (62–74 μm diameter) at water/air interface was carried out by using two differently hydrophobic samples, respectively. The effect of aggregation time on the self-similar structure of forming aggregates was studied comparing the actual results to those obtained previously.1 The time dependence of restructuring from the point of view of fractal geometry has been proved but the results call attention to another time dependent process— orientation of growing clusters during their collisions due to anisotropy of cluster-cluster interactions.

2010 ◽  
Vol 107 (1) ◽  
pp. 103 ◽  
Author(s):  
Marta Llorente ◽  
Manuel Morán

In this paper we study Hausdorff centered measures, a useful tool in fractal geometry. The definition of Hausdorff centered measure is based on efficient coverings centered at the given set, playing a dual role to packing measures. We show that, at least in the self-similar setting, it has some advantages, from a computational point of view, over other measures based on coverings, such as the Hausdorff measure or the Hausdorff spherical measure. We also extend our results to general Hausdorff centered measures with gauge functions for which the measures scale.


1972 ◽  
Vol 41 (2) ◽  
pp. 168-185
Author(s):  
Walter F. Bense

The period from 1521 to 1529 marks the transition from the suppression of the personal Protestantism of Luther to the emergence of political Protestantism as a force to be reckoned with. Unavoidably, perhaps, this transition brought with it a change in the general attitude toward war and peace, indeed, in the self-understanding of Europe. The medieval model of a Christendom united under the cross and the papacy, ideally at peace within and at war only with the infidel, was becoming obsolete. Having entered upon its period of dominance with the simultaneous proclamation of the Peace of God and the First Crusade by Pope Urban II in 1095, it may be said to expire with the Peace of Cambrai of 1529. The modern model, of a community of independent states whose autonomy is grounded in natural law and whose bond of union is vaguely cultural rather than specifically religious, is already reflected in Luther's 1529 treatise, On War Against the Turk? The short-range effect of the transformation of 1521/29 was the desacralization of the Turkish war and the redirection of the crusading spirit against the Protestants. The long-range effect would seem to have been the rise of modern Europe—out of the throes of the Wars of Religion—as a system of more or less secular and national states.


2021 ◽  
Author(s):  
Andrzej Z. Górski ◽  
Monika Piwowar

AbstractThe distribution of nucleotides spacing in human genome was investigated. An analysis of the frequency of occurrence in the human genome of different sequence lengths flanked by one type of nucleotide was carried out showing that the distribution has no self-similar (fractal) structure. The results nevertheless revealed several characteristic features: (i) the distribution for short-range spacing is quite similar to the purely stochastic sequences; (ii) the distribution for long-range spacing essentially deviates from the random sequence distribution, showing strong long-range correlations; (iii) the differences between (A, T) and (C, G) nucleotides are quite significant; (iv) the spacing distribution displays tiny oscillations.


2020 ◽  
Author(s):  
Eric Ogharandukun ◽  
Wintana Tewolde ◽  
Elbethel Damtae ◽  
Songping Wang ◽  
Andrey Ivanov ◽  
...  

AbstractThe surfaces of cells and pathogens are covered with short polymers of sugars known as glycans. Complex N-glycans have a core of three mannose sugars, with distal repeats of N-acetylglucosamine and galactose sugars terminating with sialic acid (SA). Long-range slime-like and short-range Velcro-like self-adhesions were observed between SA and mannose residues, respectively, in ill-defined monolayers. We investigated if and how these adhesions translate when SA and mannose residues are presented in complex N-glycan shields on two pseudo-typed viruses brought together in force spectroscopy (FS). Slime-like adhesions were observed between the shields at higher ramp rates, whereas Velcro-like adhesions were observed at lower rates. The complex glycan shield appears penetrable at the lower ramp rates allowing the adhesion from the mannose core to be accessed; whereas the whole virus appears compressed at higher rates permitting only surface SA adhesions to be sampled. The slime-like and velcro-like adhesions were lost when SA and mannose, respectively, were cleaved with glycosidases. While virus self-adhesion in FS was modulated by glycan penetrability, virus self-aggregation in solution was only determined by the surface sugar. Mannose-terminal viruses self-aggregated in solution, while SA-terminal ones required Ca2+ ions to self-aggregate. Viruses with galactose or N-acetylglucosamine surfaces did not self-aggregate, irrespective of whether or not a mannose core was present below the N-acetylglucosamine surface. Well-defined rules appear to govern the self-adhesion and -aggregation of N-glycosylated surfaces, regardless of whether the sugars are presented in ill-defined monolayer, or N-glycan, or even polymer architecture.


1991 ◽  
Vol 6 (8) ◽  
pp. 1763-1772 ◽  
Author(s):  
S.J. Zhou ◽  
Robb Thomson

In this paper, we address some fundamental questions regarding the response of a crack to externally generated dislocations. We note that since dislocations that formed at external sources in the material must be in the form of loops or dipoles, the theory must be couched in terms of crack shielding in a plastically polarizable medium. There are strong analogies to dielectric theory. We prove two general theorems: (1) Dipoles formed in the emission geometry relative to a crack tip always antishield the crack and (2) when dipoles are induced during uniform motion of a crack through a uniformly plastically polarizable material, then the net shielding is always positive. We illustrate these general theorems with a number of special cases for fixed and polarizable sources. Finally, we simulate the self consistent time dependent response of a crack to a polarizable source as the crack moves past it. The results show that the crack is initially antishielded, but that positive shielding always dominates during later stages of configuration evolution. The crack may be arrested by the source, or it may break away from it, depending upon the various parameters (source strength and geometry, dislocation mobility, Griffith condition for the crack, etc.). The results indicate that the time dependence of crack shielding in the presence of a nonuniform density of sources will be very important in practical cases of brittle transitions in materials.


2014 ◽  
Vol 752 ◽  
pp. 589-601 ◽  
Author(s):  
Alois Würger

AbstractWe study autopropulsion of an interface particle that is driven by the Marangoni stress arising from a self-generated asymmetric temperature or concentration field. We calculate separately the long-range Marangoni flow $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}{\boldsymbol {v}}^{I}$ due to the stress discontinuity at the interface and the short-range velocity field ${\boldsymbol {v}}^{P}$ imposed by the no-slip condition on the particle surface. Both contributions are evaluated for a spherical floater with temperature monopole and dipole moments. We find that the self-propulsion velocity is given by the amplitude of the ‘source doublet’ that belongs to the short-range contribution ${\boldsymbol {v}}^{P}$. Hydrodynamic interactions, on the other hand, are determined by the long-range Marangoni flow ${\boldsymbol {v}}^{I}$. Its dipolar part results in an asymmetric advection pattern of neighbouring particles, which in turn may perturb the known hexatic lattice or even favour disordered states.


2019 ◽  
Vol 7 (21) ◽  
pp. 6308-6316 ◽  
Author(s):  
Zelio Fusco ◽  
Renheng Bo ◽  
Yuling Wang ◽  
Nunzio Motta ◽  
Hongjun Chen ◽  
...  

A thermophoretically driven Au aerosol deposition process is used for the self-assembly of thin films consisting of plasmonic nano-islands (NIs) with a controllable and highly reproducible degree of disorder resulting in long-range periodicity with self-similar properties and stochastically distributed hot-spots, benefitting their applications as SERS substrates.


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