scholarly journals Pattern formation and self-assembly driven by competing interactions

Soft Matter ◽  
2017 ◽  
Vol 13 (48) ◽  
pp. 9259-9272 ◽  
Author(s):  
Davide Pini ◽  
Alberto Parola
Keyword(s):  
Pattern Formation ◽  
Long Range ◽  
Self Assembly ◽  
Short Range ◽  
Competing Interactions ◽  
Effective Potentials ◽  
Simple Mechanism ◽  
Colloidal Fluids

Colloidal fluids interacting via effective potentials which are attractive at the short range and repulsive at the long range have long been raising considerable attention because such an instance provides a simple mechanism leading to pattern formation even for isotropic interactions.

Nanoscale Pattern Formation in Polyelectrolyte Gels

2009 ◽  
Vol 1234 ◽  
Author(s):  
Prateek K. Jha ◽  
Francisco J. Solis ◽  
Juan J. de Pablo ◽  
Monica Olvera de la Cruz
Keyword(s):  
Pattern Formation ◽  
Phase Behavior ◽  
Long Range ◽  
Short Range ◽  
Physical Parameters ◽  
Finite Range ◽  
Complex Phase ◽  
One Dimensional ◽  
Polyelectrolyte Gels ◽  
Poor Solvent

AbstractPolyelectrolyte (PE) gels exhibit complex phase behavior that includes the existence of nanostructures in poor-solvent conditions. The formation of these inhomogeneous structures is made possible by the competition between the short-range hydrophobic, elastic, and entropic interactions and the long-range electrostatic forces. We develop a theoretical framework that describes the effect of monomer and charge inhomogeneities in PE gels. Numerical calculations performed on a salt-free PE gel with one-dimensional heterogeneities demonstrate the presence of nanophases for a finite range of physical parameters.

scholarly journals Pattern formation in binary fluid mixtures induced by short-range competing interactions

2015 ◽  
Vol 143 (8) ◽  
pp. 084501 ◽  
Author(s):  
Cecilia Bores ◽  
Enrique Lomba ◽  
Aurélien Perera ◽  
Noé G. Almarza
Keyword(s):  
Pattern Formation ◽  
Short Range ◽  
Competing Interactions ◽  
Binary Fluid ◽  
Fluid Mixtures ◽  
Binary Fluid Mixtures

Dislocation Walls in Finite Media: The Case of an Infinite Slab

2001 ◽  
Vol 683 ◽  
Author(s):  
M. Surh ◽  
W. G. Wolfer
Keyword(s):  
Pattern Formation ◽  
Stress Field ◽  
Long Range ◽  
Short Range ◽  
Infinite Medium ◽  
Short Range Ordering ◽  
Infinite Slab ◽  
Tilt Boundaries ◽  
Twist Boundaries ◽  
Dislocation Walls

ABSTRACTThe dislocation microstructure observed in solids exhibits cellular patterns. The interiors of these cells are depleted of dislocations while the walls contain dense bundles including the geometrically necessary dislocations leading to misorientations of the crystal lattice on either side. This clustering is the result of short-range interactions which favor the formation of dislocation dipoles or multipoles and tilt and twist boundaries. While this short-range ordering of dislocations is readily understood, the long-range pattern formation is still being studied. We examine finite tilt boundaries in an infinite medium, a model grain, and a free slab to investigate the conditions for long-range stress interactions. We find that finite tilt walls in a larger medium generally possess a long-range stress field because the local bending at the tilt wall is constrained by the surrounding material.

scholarly journals Formation and internal ordering of periodic microphases in colloidal models with competing interactions

Soft Matter ◽  
2021 ◽  
Author(s):  
Horacio Serna ◽  
Antonio Díaz Pozuelo ◽  
Eva G. Noya ◽  
Wojciech T. Góźdź
Keyword(s):  
Long Range ◽  
Short Range ◽  
Colloidal Particles ◽  
Competing Interactions ◽  
Repulsive Interactions ◽  
Proper Balance

Theory and simulations predict that colloidal particles with short-range attractive and long-range repulsive interactions form periodic microphases if there is a proper balance between the attractive and repulsive contributions. However,...

scholarly journals Synthetic mammalian pattern formation driven by differential diffusivity of Nodal and Lefty

2018 ◽  
Author(s):  
Ryoji Sekine ◽  
Tatsuo Shibata ◽  
Miki Ebisuya
Keyword(s):  
Pattern Formation ◽  
Long Range ◽  
Mammalian Cells ◽  
Short Range ◽  
Mammalian Cell Culture ◽  
Reaction Diffusion ◽  
Minimal Network ◽  
Range Distribution ◽  
Domain Structures ◽  
Diffusion Pattern

AbstractPattern formation is fundamental for embryonic development. Although synthetic biologists have created several patterns, a synthetic mammalian reaction-diffusion pattern has yet to be realized. TGF-β family proteins Nodal and Lefty have been proposed to meet the conditions for reaction-diffusion patterning: Nodal is a short-range activator that enhances the expression of Nodal and Lefty whereas Lefty acts as a long-range inhibitor against Nodal. However, the pattern forming possibility of the Nodal-Lefty signaling has never been directly tested, and the underlying mechanisms of differential diffusivity of Nodal and Lefty remain unclear. Here, through a combination of synthetic biology and theoretical modeling, we show that a reconstituted minimal network of the Nodal-Lefty signaling spontaneously gives rise to a pattern in mammalian cell culture. Surprisingly, extracellular Nodal was confined underneath the cells as small clusters, resulting in a narrow distribution range compared with Lefty. We further found that the finger 1 domain of the Nodal protein is responsible for its short-range distribution. By transplanting the finger 1 domain of Nodal into Lefty, we converted the originally long-range distribution of Lefty to a short-range one, successfully preventing the pattern formation. These results indicate that the differences in the localization and domain structures between Nodal and Lefty, combined with the activator-inhibitor topology, are sufficient for reaction-diffusion pattern formation in mammalian cells.

scholarly journals Structural basis of long-range to short-range synaptic transition in NHEJ

Nature ◽  
2021 ◽  
Author(s):  
Siyu Chen ◽  
Linda Lee ◽  
Tasmin Naila ◽  
Susan Fishbain ◽  
Annie Wang ◽  
...  
Keyword(s):  
Long Range ◽  
Short Range ◽  
Structural Basis

scholarly journals Comparison of short-range order in irradiated dysprosium titanates

2021 ◽  
Vol 5 (1) ◽  
Author(s):  
Roman Sherrod ◽  
Eric C. O’Quinn ◽  
Igor M. Gussev ◽  
Cale Overstreet ◽  
Joerg Neuefeind ◽  
...  
Keyword(s):  
Long Range ◽  
Short Range ◽  
Structural Model ◽  
Ion Irradiation ◽  
Function Analysis ◽  
Ion Beam ◽  
Structural Response ◽  
Heavy Ion ◽  
Range Order ◽  
Radiation Resistant

AbstractThe structural response of Dy2TiO5 oxide under swift heavy ion irradiation (2.2 GeV Au ions) was studied over a range of structural length scales utilizing neutron total scattering experiments. Refinement of diffraction data confirms that the long-range orthorhombic structure is susceptible to ion beam-induced amorphization with limited crystalline fraction remaining after irradiation to 8 × 1012 ions/cm2. In contrast, the local atomic arrangement, examined through pair distribution function analysis, shows only subtle changes after irradiation and is still described best by the original orthorhombic structural model. A comparison to Dy2Ti2O7 pyrochlore oxide under the same irradiation conditions reveals a different behavior: while the dysprosium titanate pyrochlore is more radiation resistant over the long-range with smaller degree of amorphization as compared to Dy2TiO5, the former involves more local atomic rearrangements, best described by a pyrochlore-to-weberite-type transformation. These results highlight the importance of short-range and medium-range order analysis for a comprehensive description of radiation behavior.

SHORT-RANGE AND LONG-RANGE ORDER OF TITANIUM IN Ti1+xS2

1977 ◽  
Vol 38 (C7) ◽  
pp. C7-202-C7-206 ◽  
Author(s):  
R. MORET ◽  
M. HUBER ◽  
R. COMÈS
Keyword(s):  
Long Range ◽  
Short Range ◽  
Range Order ◽  
Long Range Order
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