A theoretical study of structure and thermodynamics of fluids with long-range competing interactions exhibiting pattern formation

2012 ◽  
Vol 137 (16) ◽  
pp. 164901 ◽  
Author(s):  
Jean-Marc Bomont ◽  
Dino Costa
Keyword(s):  
Pattern Formation ◽  
Long Range ◽  
Theoretical Study ◽  
Competing Interactions

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.

THE DISAPPEARANCE OF TWO-DIMENSIONAL LONG RANGE ORDER IN THE HEISENBERG MODEL WITH COMPETING INTERACTIONS

1990 ◽  
Vol 04 (15n16) ◽  
pp. 2319-2333 ◽  
Author(s):  
A. F. BARABANOV ◽  
L. A. MAKSIMOV ◽  
O. A. STARYKH
Keyword(s):  
Long Range ◽  
Heisenberg Model ◽  
Spin Correlation ◽  
Range Order ◽  
Square Lattice ◽  
Spin Excitation ◽  
Spin Liquid ◽  
Long Range Order ◽  
Competing Interactions ◽  
Nearest Neighbours

In the frustrated Heisenberg model with first (J1) and second (J2) nearest neighbours interactions on a square lattice the transition from the long range order state (LROS) to spin liquid state (SLS) is found at α = J1/J2 ≅ 0.25. SLS is characterized by the gap in spin excitation spectrum at T = 0 and, hence, by exponential decay of spin correlation function at large distance. As a result, correlation length is temperature independent in SLS in accordance with neutron experiments on doped La 2 CuO 4.

scholarly journals Combined experimental and theoretical study of long-range H–F interactions in α-fluoro amides

2019 ◽  
Vol 55 (16) ◽  
pp. 2253-2256 ◽  
Author(s):  
Elena Cosimi ◽  
Nils Trapp ◽  
Marc-Olivier Ebert ◽  
Helma Wennemers
Keyword(s):  
Long Range ◽  
Theoretical Study ◽  
Computational Approach ◽  
Insight Into

A combined experimental and computational approach provided insight into the nature and conformational dependence of long-range 4JHF couplings in α-fluoro amides.

scholarly journals HetL provides immunity to HetR against PatS inhibition, and promotes pattern formation in the cyanobacterium Nostoc PCC 7120

2020 ◽  
Author(s):  
Xiaomei Xu ◽  
Véronique Risoul ◽  
Deborah Byrne ◽  
Stéphanie Champ ◽  
Badredinne Douzi ◽  
...  
Keyword(s):  
Cell Differentiation ◽  
Pattern Formation ◽  
Long Range ◽  
Nitrogen Starvation ◽  
Protective Mechanism ◽  
Local Activation ◽  
Combined Nitrogen ◽  
Differentiation Pattern ◽  
Biological Patterns ◽  
Pcc 7120

AbstractLocal activation and long-range inhibition are mechanisms conserved in self-organizing systems leading to biological patterns. A number of them involve the production by the developing cell of an inhibitory morphogen, but how this cell gets immune to self-inhibition is rather unknown. Under combined nitrogen starvation, the multicellular cyanobacterium Nostoc PCC 7120 develops nitrogen-fixing heterocysts with a pattern of a heterocyst every 10-12 vegetative cells. Cell differentiation is regulated by HetR which activates the synthesis of its own inhibitory morphogen (PatS), which diffusion establishes the differentiation pattern. Here we show that HetR interacts with HetL at the same interface as PatS, and that this interaction is required to suppress inhibition and to differentiate heterocysts. hetL expression is induced under nitrogen-starvation and is activated by HetR, suggesting that HetL provides immunity to the heterocyst. This protective mechanism might be conserved in other differentiating cyanobacteria as HetL homologues are spread across the phylum.

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