scholarly journals Long-Range Spatial Correlations of Eigenfunctions in Quantum Disordered Systems

1998 ◽  
Vol 80 (9) ◽  
pp. 1944-1947 ◽  
Author(s):  
V. N. Prigodin ◽  
B. L. Altshuler
Keyword(s):  
Long Range ◽  
Disordered Systems ◽  
Spatial Correlations ◽  
Quantum Disordered Systems

scholarly journals Effect of long-range spatial correlations on the lifetime statistics of an emitter in a two-dimensional disordered lattice

2014 ◽  
Vol 89 (6) ◽  
Author(s):  
N. de Sousa ◽  
J. J. Sáenz ◽  
A. García-Martín ◽  
L. S. Froufe-Pérez ◽  
M. I. Marqués
Keyword(s):  
Long Range ◽  
Two Dimensional ◽  
Spatial Correlations ◽  
Disordered Lattice

Long-range spatial correlations in the turbulent edge plasma of the L-2M stellarator

2013 ◽  
Vol 39 (8) ◽  
pp. 615-623 ◽  
Author(s):  
D. G. Vasil’kov ◽  
Yu. V. Kholnov ◽  
S. V. Shchepetov
Keyword(s):  
Long Range ◽  
Edge Plasma ◽  
Spatial Correlations

Non-Equilibrium Critical Dynamics of Ferromagnets with Long Range Correlated Defects

2012 ◽  
Vol 190 ◽  
pp. 31-34
Author(s):  
Dmitry N. Kulikov ◽  
Pavel V. Prudnikov
Keyword(s):  
Critical Exponent ◽  
Long Range ◽  
Critical Behavior ◽  
Disordered Systems ◽  
Asymptotic Series ◽  
Three Dimensional ◽  
Time Regime ◽  
Short Time ◽  
Short Time Evolution ◽  
Non Equilibrium

The simultaneous effect of non-equilibrium initial states and correlation betweendefects of the structure on the evolution of anisotropic disordered systems at the critical pointwas analyzed. The field theory description of the non-equilibrium critical behavior of three-dimensional disordered systems with the long-range correlated defects was given and the dy-namical critical exponent of the short-time evolution was calculated in the two-loop approxima-tion without the use of the "-expansion. The values of the dynamical critical exponent obtainedby using various methods for summing asymptotic series were compared with the results ofthe computer simulation of the non-equilibrium critical behavior of the three-dimensional dis-ordered Ising model in the short-time regime.

scholarly journals Pinning of dislocations in disordered alloys: effects of dislocation orientation

2022 ◽  
Vol 6 (1) ◽  
Author(s):  
Michael Zaiser ◽  
Ronghai Wu
Keyword(s):  
Long Range ◽  
Random Distribution ◽  
Spatial Correlations ◽  
Third Order ◽  
High Entropy ◽  
Disordered Alloys ◽  
Power Law Decay ◽  
The Mean ◽  
Edge Dislocations ◽  
Solute Hardening

AbstractThe current interest in compositionally complex alloys including so called high entropy alloys has caused renewed interest in the general problem of solute hardening. It has been suggested that this problem can be addressed by treating the alloy as an effective medium containing a random distribution of dilatation and compression centers representing the volumetric misfit of atoms of different species. The mean square stresses arising from such a random distribution can be calculated analytically, their spatial correlations are strongly anisotropic and exhibit long-range tails with third-order power law decay (Geslin and Rodney 2021; Geslin et al. 2021). Here we discuss implications of the anisotropic and long-range nature of the correlation functions for the pinning of dislocations of arbitrary orientation. While edge dislocations are found to follow the standard pinning paradigm, for dislocations of near screw orientation we demonstrate the co-existence of two types of pinning energy minima.

Sign in / Sign up

Export Citation Format

Share Document