scholarly journals Self-organization and symmetry-breaking in two-dimensional plasma turbulence

2010 ◽  
Vol 17 (9) ◽  
pp. 092302 ◽  
Author(s):  
Wouter J. T. Bos ◽  
Salah Neffaa ◽  
Kai Schneider
2013 ◽  
Vol 45 (3) ◽  
pp. 1871-1885 ◽  
Author(s):  
C. Bardos ◽  
M. C. Lopes Filho ◽  
Dongjuan Niu ◽  
H. J. Nussenzveig Lopes ◽  
E. S. Titi

2011 ◽  
Vol 13 (1) ◽  
pp. 013026 ◽  
Author(s):  
D Malterre ◽  
B Kierren ◽  
Y Fagot-Revurat ◽  
C Didiot ◽  
F J García de Abajo ◽  
...  

1999 ◽  
Vol 56 (10) ◽  
pp. 609-616
Author(s):  
Masashi KUNITAKE ◽  
Akihiro OHIRA ◽  
Shinobu UEMURA ◽  
Masayo SAKATA ◽  
Chuichi HIRAYAMA

2021 ◽  
Vol 186 (1) ◽  
Author(s):  
Diana Conache ◽  
Markus Heydenreich ◽  
Franz Merkl ◽  
Silke W. W. Rolles

AbstractWe study the behavior of the variance of the difference of energies for putting an additional electric unit charge at two different locations in the two-dimensional lattice Coulomb gas in the high-temperature regime. For this, we exploit the duality between this model and a discrete Gaussian model. Our estimates follow from a spontaneous symmetry breaking in the latter model.


2019 ◽  
Author(s):  
Skirmantas Janušonis ◽  
Nils Detering ◽  
Ralf Metzler ◽  
Thomas Vojta

ABSTRACTAll vertebrate brains contain a dense matrix of thin fibers that release serotonin (5-hydroxytryptamine), a neurotransmitter that modulates a wide range of neural, glial, and vascular processes. Perturbations in the density of this matrix have been associated with a number of mental disorders, including autism and depression, but its self-organization and plasticity remain poorly understood. We introduce a model based on reflected Fractional Brownian Motion (FBM), a rigorously defined stochastic process, and show that it recapitulates some key features of regional serotonergic fiber densities. Specifically, we use supercomputing simulations to model fibers as FBM-paths in two-dimensional brain-like domains and demonstrate that the resultant steady state distributions approximate the fiber distributions in physical brain sections immunostained for the serotonin transporter (a marker for serotonergic axons in the adult brain). We suggest that this framework can support predictive descriptions and manipulations of the serotonergic matrix and that it can be further extended to incorporate the detailed physical properties of the fibers and their environment.


2009 ◽  
pp. 7155 ◽  
Author(s):  
Gustavo Fernández ◽  
Fátima García ◽  
Fátima Aparicio ◽  
Emilio Matesanz ◽  
Luis Sánchez

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